Thursday

December 18, 2014

December 18, 2014

Number of results: 117,029

**Math - equation of plane and vectors**

A plane is defined by the equations x-4y+2z=16. Find two vectors parallel to the plane.
*September 4, 2010 by Shaila*

**Math - equation of plane and vectors**

A plane is defined by the equations x-4y+2z=16. Find two vectors parallel to the plane.
*September 5, 2010 by Shaila*

**Math - Equations of plane(check)**

Consider the plane that contains points A(2,3,1), B(-11,1,2), C(-7,-3,-6). a) Find two vectors that are parallel to the plane. Ans: AC, BC or AB will be parallel to the plane. b) Find two vectors that are perpendicular to the plane. Ans: if i find the normal vector then i can ...
*September 4, 2010 by Shaila*

**Math - Equations of plane(check)**

Consider the plane that contains points A(2,3,1), B(-11,1,2), C(-7,-3,-6). a) Find two vectors that are parallel to the plane. Ans: AC, BC or AB will be parallel to the plane. b) Find two vectors that are perpendicular to the plane. Ans: if i find the normal vector then i can...
*September 6, 2010 by Shaila*

**Maths - Vectors**

The position vectors a,b,c of the points A,B,C relative to the origin O are ai, bj and ck respectively.Find: 1) a vector equation for the line l throught O which is normal to the plane ABC. 2) a vector equation of the plane ABC The answers should be: 1) r=t(bc i +ac j +ab k) ...
*February 2, 2009 by Claire*

**Math**

Me, again... Please help me. Thank you. Assume a plane is flying directly north at 200 mph, but there is a wind blowing west at 23 mph. Part I: Express both the velocity of the plane and the velocity of the wind as vectors, using proper notation to represent each direction of ...
*January 8, 2014 by Lizzie098*

**Calculus and vectors**

Verify please and thank you~ 1. Does the line (x-7)/3=(y+8)/6=(z+4)/5 and the point P(10,-2,1) determine a plane? Answer: Yes, it is a plane because when I substituted the point P(10,-2,1) into the equation, I got the coordinates (1,1,1) If the coordinate became to be (0,0,0) ...
*April 9, 2012 by Antia*

**vectors HELP!**

determine an equation of the plane that is perpendicular to the plane x+2y+4=0, contains the origin, and has a normal that makes an angel of 30 degrees with the z-axis.
*March 20, 2013 by nico*

**Calculus and vectors**

A plane, π, has 3x-5z+3=0 as its Cartesian equation. Determine the Cartesian equation of a plane that is perpendicular to π and contains the point P(2,9,-3)
*April 9, 2012 by Anita*

**VECTORS **

Write a scalar equation of each plane, given its vector equation. [x,y,z] = [3,7,-5] + s[1,2,-1] + t[1,-2,3]
*June 5, 2010 by Abigail *

**vectors**

find the vector form of the equation of the line in lR^3 that passes through P=(-1,0,3) and is perpendicular to the plane with a general equation x-3y+2z = 5
*January 12, 2011 by Meso*

**vectors**

What is the cartesian equation of the xz plane
*June 9, 2010 by Adeola*

**Vectors **

Find the equation of the plane equidistant from the points (2,8,3) and (4,12,9)
*December 17, 2013 by Anonymous*

**12th grade**

prove that normal to plane containing 3 points whose position vectors are a vector,b vector,c vectorlies in direction addition of cross product of vectors b and c and cross product of vectors c and a and cross product of vectors a and b
*September 22, 2009 by parth*

**vectors**

If two vectors u and v fit the equation (u − v) • (u − v) = u•u+v•v, how must these vectors u and v be related? What familiar theorem does this equation represent?
*April 12, 2010 by sally*

**math**

Hi I need help with this math problem: The plane that contains the points (8,3,1), (2,6,3), and (4,6,2) has an equation of the form ax + by + cz = d. Find coefficients for this equation, trying two different approaches to the problem. One method uses vectors, another does not...
*July 29, 2010 by jen*

**Calculus and vectors**

Do the vectors (2,0,1),(-2,0,0) and (2,3,0) lie on the same plane? Explain your reasoning.
*March 26, 2012 by Melinda*

**Vectors**

Given vectors A = -4.8i + 6.8j and B = 9.6i + 6.7j, determine the vector C that lies in the xy plane perpendicular to B and whose dot product with A is 20.0.
*September 28, 2010 by Victor*

**Vectors **

L1: [x,y,z] = [1,-2,4,] + s[1,1-3] L2: [x,y,z] = [4,-2,k] + t[2,3,1] Determine a value of k that is 10 units away from the plane with the equation 10x-7y+Z-28=0
*December 17, 2013 by Anonymous*

**math**

given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q are the unit vectors,find the dot product of vectors p and q?
*January 2, 2013 by bhawani*

**Geometry & Vectors**

find an equation for the plane passing through the points Pi(3,1-2), Pii(-1,2,4) and Piii(2,-1,1)
*October 29, 2009 by Beta plus*

**Vectors **

Consider the lines L1: [x,y,z] = [4,-2,k] + s[1,1-3] +t[2,3,1] Determine a value of k that is 10 units away from the plane with the equation 10x-7y+Z-28=0
*December 16, 2013 by Tristan*

**math**

given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q are the unit vectors,find the product of vectors p and q?
*January 1, 2013 by bhawani*

**Physics**

2. We have two vectors that line in the x-y plane. If we take the cross-product of those two vectors we know that a. the magnitude of the cross-product will always be equal to the product of the magnitudes of the two vectors. b. the magnitude of the cross-product will always ...
*December 27, 2011 by Sarah*

**math: Calculus - Algebraic Vectors**

A light plane is travelling at 175 km/h on a bearing of N8°E in a 40 km/h wind from N80°E. Determine the plane's ground velocity using algebraic vectors. The answer for this question is: 167 km/h , N5°W ---------------- My Work: (a , b) = ( | r | * cosθ , | r | * sinθ...
*February 18, 2008 by Anonymous*

**physics**

A novice pilot sets a plane's controls, thinking the plane will fly at 2.50 * 2 to the 2nd power km/h to the north. if the wind blows at 75km/h toward the southeast, what will the plane's new resultant velocity be? use graphical techniques. Are you sure you don't mean the ...
*December 25, 2006 by yostina*

**math**

Given the plane 2x-3y+7z=4, a) Find the equation for the line perpendicular to the plane that intersects the plane at the point P=(6,5,1). b) How far is it from the point (4,-2,3) to the plane?
*May 12, 2011 by sophie*

**vector**

If two vectors u and v fit the equation (u − v) • (u − v) = u•u+v•v, how must these vectors u and v be related? What familiar theorem does this equation represent?
*April 13, 2010 by sally*

**Math**

Given the plane 2x-3y+7z=4, find the equation for the line perpendicular to the plane that intersects the plane at the point (6,5,1).
*May 25, 2011 by Marisol*

**Math - Algebraic Vectors**

Given the vectors: u = [3, 0] v = [-1, 2] a) Express the vector w = [2, 8] as a linear combination of vectors u and v. How do I do this?
*February 13, 2008 by Anonymous*

**math**

two vectors are defined as a=2i+xj and b=i-4j. find value of x if a) the vectors are parallel b) the vectors are perpendicular
*November 21, 2010 by karla*

**math**

two vectors are defined as a=2i+xj and b=i-4j. find value of x if a) the vectors are parallel b) the vectors are perpendicular
*November 21, 2010 by karla*

**math**

if vectors a+b+c=0 and modulus of the vectors a, b and c are 3 ,5 and 7 respectively. find the angle between the vectors a and b.
*January 5, 2013 by raja*

**physics [vectors]**

The concept i get, but somehow i just can't execute this problem, please help me! You are given vectors A = 5.5 6.2 and B = - 3.7 7.4 . A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 19.0. I need x and y ...
*August 30, 2009 by lina*

**physics**

Suppose vector A=3i-2j, B= -i-4j and vector C are three vectors in xy plane with the property that vectors A+B-C. What is the unit vector along vector C?
*January 28, 2012 by Abdela said yimer*

**physics: scalars/vectors**

Please check. 1. Which of the following quantities are scalars, and which are vectors? a. the acceleration of a plane as it takes off- VECTOR b. the number of passengers on the plane- SCALAR c. the duration of the flight- SCALAR d. the displacement of the flight- VECTOR e. the...
*September 17, 2006 by Anonymous*

**physics**

Can you help me with this one also? I know how to do it with 3 vectors but I can't seem to draw it with 4 vectors. The magnitudes of the four displacement vectors shown in the drawing are A=16.0 m, B=11.0 m, C=12.0 m, and D=26.0 m. Determine the (1) magnitude and (2) ...
*January 23, 2011 by Brittany*

**Calculus**

Find the scalar equation of the plane through the points M(1,2,3) and N(3,2,-1) that is perpendicular to the plane with equation 3x + 2y + 6z +1 = 0. I know that normal of the latter equation is (3,2,6) but now what do I do? Thanks.
*July 7, 2008 by Lulu*

**Math:Calculus**

Determine vector and parametric equations for the plane containing the point P0(1, -2, 3) and having direction vectors a= (4, -2, 5) and b = (-3, 3, 7). Thanks for the help.
*July 4, 2008 by Susie*

**maths**

1) Suppose that an insect crawls in a plane in a path given in polar coordinates by r = be^kt; theta = kt; where b; k are positive constants and t is time.Find the velocity and acceleration vectors of the insect. Show that the angle between the velocity and acceleration ...
*February 20, 2013 by Jess*

**Vectors**

3 planes; $: x+2y-2z-6=0 %: 2x-y+z+8=0 £: 2x-y+2z+3=0 (a)(i)Find the cartesian equation for the plane @ parallel to $ and containing the point (1,1,2) (ii)Calculate the distance between $ and @ (b)(i)Find the parametric equations for the line of intersection of the planes $ ...
*April 25, 2010 by Anonymous*

**vectors**

3 planes; $: x+2y-2z-6=0 %: 2x-y+z+8=0 £: 2x-y+2z+3=0 (a)(i)Find the cartesian equation for the plane @ parallel to $ and containing the point (1,1,2) (ii)Calculate the distance between $ and @ (b)(i)Find the parametric equations for the line of intersection of the planes $ ...
*April 25, 2010 by Anonymous*

**Math**

The altitude of a plane as it begins to descend is shown by the linear equation a = 22,000 – 800m, where a is the plane’s altitude, in feet, and m is minutes. What is the plane’s altitude when m = 12? ft
*December 13, 2014 by Autumn*

**Math- intersection of planes**

Show that the line [x,y,z]=[10,5,16]+t[3,1,5] is contained in the plane x+2y-z-4=0 I tries writing the vector equation in parametric form and then substituting it into the respective x,y,z in the plane, after simplifying I get 0t=0 does this mean that the line is in the plane ...
*September 1, 2010 by Shaila*

**Trig**

This has to do with vectors...I'm wondering if I set up the diagram correctly? A plane has a speed of 250mph and flies with a bearing of N35degE. The wind is blowing from the west at 25 mph with a heading of due east. What is the actual speed and heading of the plane?
*April 20, 2013 by Mary*

**calc 3**

The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N45°W at a speed of 40 km/h. (This means that the direction from which the wind blows is 45° west of the northerly direction.) A pilot is steering a plane in the direction N60...
*August 31, 2012 by Becky*

**Physics**

2 vectors have same magnitude.The magnitude of the resultant vector of these 2 vectors are same as either of both vectors.What is the angle between 2 vectors?
*November 21, 2014 by Tangy*

**PreCalculus**

Given vectors u=7i + 3j and v = -4i + 3j, find 5u-4v in terms of unit vectors. I am just beginning the study of vectors and have this problem. Could someone help? Thanks.
*January 29, 2009 by Joanie*

**Physics - Torque**

A particle is acted on by two torques about the origin: T1 has a magnitude of 4.3 N*m and is directed in the positive direction of the x axis, and T2 has a magnitude of 3.2 N*m and is directed in the negative direction of the y axis. What are the magnitude [in N*m] and ...
*March 31, 2007 by COFFEE*

**Math**

Find an equation of a plane through the point (2, -1, 0) which is parallel to the plane -1x-2y+4z=7.
*February 2, 2010 by Derek Abeyta*

**math**

If A^TA is an invertible matrix, prove that the column vectors of A are linearly independent. You know that if statement X implies statement Y then that is equivalent to Not(Y) implies Not(X). You can start by taking the column vectors of to be linearly dependent and then show...
*January 8, 2007 by mathstudent*

**Calculus**

Name two sets of vectors that could be used to span a set in R^3. Show how the vectors (-1,2,0) and (3,4,0) could each be written as a linear combination of the vectors you have chosen.
*April 28, 2010 by Jackiee*

**Science**

2 vectors have same magnitude.The magnitude of the resultant vectors is same as either of both vectors.What is the angle between 2 vectors?
*November 21, 2014 by Tangy*

**Vectors **

Determine a vector that is parallel to the plane: x + 2y + 2z - 5 = 0
*June 5, 2010 by Anonymous*

**vectors**

find three points on each plane [x,y,z]= [3,4,-1]+s[1,1,-4]+ t[2,-5,3]
*May 27, 2013 by sara*

**math**

sketch the plane x+2y-z=6. if you need help,find a third line by letting z=0 and then graph the resulting equation in the xy plane
*August 13, 2014 by rvb*

**Calculus 3**

Find the equation of the plane that passes through (1,0,0) and is perpendicular to the line r=<1,0,2>+t<1,0,1>. The vector equation of a plane is n*(r-rsub0)=0. Thank you so much for your help!
*January 24, 2013 by Heather*

**Calculus and Vectors**

THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a dot b
*May 11, 2013 by Johnny*

**Math- Intesection of a plane and line**

Does the line [x,y,z]=[5,-9,3]+k[1,-12,2] intersect the plane [x,y,z]=[4,-15,8]+s[1,-3,1]+t[2,3,1]? If so, how many solutions are there? ( I tried finding the normal vector, there after finding the "d" value to write in scalar equation, and once it is in scalar equation i ...
*August 28, 2010 by Shaila*

**Calculus**

Show that the vectors (-1,2,3), (4,1,-2) and (-14,-1,16) do not lie on the same plane
*April 28, 2010 by Blazon*

**Physics**

1. Consider the two vectors P and Q. The definition of P is P = i × (i × j). The definition of Q is Q = (i × i) × j . a. The magnitude of P is equal to the magnitude of Q. b. The magnitude of P is greater than the ...
*December 27, 2011 by Sarah*

**vectors **

Find the distance between the parallel line and plane: l: r=[2,0,1] + t[1,4,1] pi: 2x - y + 2z = 4
*June 6, 2010 by Abigail *

**Calulas and VECTORS**

THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a * b
*May 19, 2010 by z...........................*

**trig**

A plane is flying with an airspeed of 150 miles per hour and heading 155°. The wind currents are running at 25 miles per hour at 160° clockwise from due north. Use vectors to find the true course and ground speed of the plane.
*November 16, 2012 by janice*

**Vector**

4. A plane has Cartetiar equation 4x - 3y + 6z - 12 =-- 0. a. Determine vector and p.iramqtric conations for this plane. b. Determine the equation of a line that lies in the plane.
*June 1, 2010 by John*

**Calculus and vectors**

Please, help I don't understand vectors T.T 1. In the prism, assume all dimensions have different lengths, state the following: a) state 3 equal vectors to DC⃗ b) state 4 opposite vectors to BC⃗ ------------------------------------- Here is the prism below, imgur ...
*March 18, 2012 by Melissa*

**vectors**

Determine whether each statement is true or false. Provide a brief justification. a. Two lines with parallel direction vectors willnot intersect. b. Two linesthat are perpendicularin R3 willhave perpendicular direction vectors. c. Two linesthat havenon-paralleldirection ...
*June 9, 2010 by Alicia*

**Grade 12 Math**

if a and b are unit vectors, and magnitude of vectors a +b = sq. root of 3, determine (2a-5b) dot (b+3a).
*May 8, 2014 by Melissa*

**Math**

Prove that vectors u, v and w are coplanar if and only if vectors u, v and w are linearly dependent.
*April 18, 2008 by Tess*

**Physics Vectors**

two vectors A and B have magnitude such that A>B. We do not know the directions of the vectors. however we can say that the magnitude of the sum A+B must be between? a) B and 2A b)A and A+B c) A-B and A+B d) A-B and A e) B and A+B
*September 27, 2012 by cody*

**Calculus grade 12**

Explain why three directional vectors of the plane cannot me mutually perpendicular .
*May 3, 2012 by J*

**Calculus grade 12**

Explain why three directional vectors of the plane cannot me mutually perpendicular .
*May 4, 2012 by J*

**Math**

These are vectors: QA + __ =QB Complete the vector equation...
*May 28, 2014 by Christopher*

**physical science**

The resultant vector of two particular displacement vectors dose not equal the sum of the magnitudes of the individual vectors. Describe the directions of the two vectors.
*May 2, 2011 by Becky*

**Calculus and vectors**

A parallelogram is formed by R^3 by the vectors PA=(3,2,-3) and PB=(4,1,5). The point P=(0,2,3). a) what are the location of the vertices? b) what are the vectors representing the diagonals? c) what are the length of the diagonals?
*March 23, 2012 by Melinda*

**Calculus**

Verify please and thank you~ Does the line (x-7)/3=(y+8)/6=(z+4)/5 and the point P(10,-2,1) determine a plane? Answer: Yes, it is a plane because when I substituted the point P(10,-2,1) into the equation, I got the coordinates (1,1,1) If the coordinate became to be (0,0,0) ...
*April 8, 2012 by Jenny*

**Physics**

An air traffic controller observes two airplanes approaching the airport. The displacement from the control tower to plane 1 is given by the vector A , which has a magnitude of 220 km and points in a direction 32 degrees north of west. The displacement from the control tower ...
*June 28, 2012 by Hiral*

**math**

Two vectors have magnitudes of 3 units and 8 units respectively. The resultant of these two vectors has a magnitude of 8 units. What is the angle between these two vectors?
*March 1, 2013 by dave*

**Vectors**

THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a * b
*May 11, 2013 by Johnny*

**Math- Vectors**

Whta is the equation that has the same x-intercepts as L1:[x,y,z]= [3,5,-1] + t[4,-10,2] and is perpendicular to L2:[x,y,z]= [5,8,-2] + s[3,7,1]
*January 29, 2014 by Tristan*

**physics**

A particle has a constant acceleration of a = (5.5 m/s2)i + (3.7 m/s2)j . At time t = 0, the velocity is zero and the position vector is r0 = (9.8 m)i. (a) Find the velocity and position vectors as functions of time t. (b) Find the equation of the particle's path in the xy plane.
*August 30, 2011 by emily*

**physics**

A particle has a constant acceleration of = (5.5 m/s2) + (3.7 m/s2) . At time t = 0, the velocity is zero and the position vector is 0 = (9.8 m). (a) Find the velocity and position vectors as functions of time t. (b) Find the equation of the particle's path in the xy plane.
*August 30, 2011 by emily*

**vectors**

ok theres a graph. its like this. basically theres a ray coming from the origin going up and left diagonally at about a 30 degree angle. the question says "for the following vectors draw the component vectors along the x and y axis". what do i do?!
*August 5, 2009 by jawn*

**Biology**

In conventional human radiological imaging (e.g., MRI, PET, CT) of the head, the axial plane is synonymous with the horizontal plane. Which of the following statements about this plane is most accurate? The axial plane is an axis of symmetry in the forebrain. The long axis of ...
*April 10, 2013 by Anonym*

**Discrete Math - Geometric Vectors**

Under what conditions will 3 vectors having magnitudes of 7, 24 and 25, respectively, have the zero vector as a resultant? I don't get this question at all.
*February 9, 2008 by Anonymous*

**Precalc**

At the point were a line intersects a plane [with the equation (24x+32y+40z=480) and three points of A(5, 10, 1), B(6, 3, 6), and C(12, 1, 4)], the vector i-, vector j-, and vector k-coefficients of the line equal the corresponding values of x, y, and z for the plane. By ...
*January 7, 2012 by Grace*

**physics**

. The altitude of a plane as it begins to descend is shown by the linear equation a = 22,000 – 800m, where a is the plane’s altitude, in feet, and m is minutes. What is the plane’s altitude when m = 12 ft
*October 7, 2014 by Brianna Garrett *

**physics-vectors**

If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then: If the magnitude of the sum of two vectors is less than the magnitude of either vector, then: a. the scaler product of the vectors must be negative b. the scaler product of the ...
*August 6, 2007 by mekeke*

**math**

Find an orthonormal basis for the subspace of R^3 consisting of all vectors(a, b, c) such that a+b+c = 0. The subspace is two-dimensional, so you can solve the problem by finding one vector that satisfies the equation and then by constructing another solution which is ...
*July 26, 2007 by john*

**Math**

Given two non-collinear vectors a and b, show that a, axb, and (axb)xa are mutually perpendicular. Also Express the unit vectors i, j, and k as ordered triplets and show that i x j = k what are ordered triplets? Using components show that u x v = -v x u for any vectors u and v.
*March 30, 2008 by Anonymous*

**Linear Algebra**

Last number from the sample test! A plane P passes by the coordinates: A(1,0,-7); B(-2,-1,0); C(0,0,-3) Using the equation of the line D: x= 7+12t, y= -1-6t, z= 2-2t, Find the equation of a line that's entirely part of the plane P and that is perpendicular to the line D at ...
*September 10, 2012 by Robert*

**Maths-Vectors Help!**

Please can you help me as I have just been introduced to your Help Forum: Determine whether the vectors u, v and w given below are linearly independent or dependent where u, v and w are non-colliner vectors such that u=2a-3b+c , v=3a-5b+2c and w=4a-5b+c. thanks. Use exactly ...
*April 16, 2007 by Charles*

**Vectors **

Given each scalar equation, write a vector equation and the parametric equations. 8x + 9y = -45
*June 5, 2010 by Anonymous*

**math**

A Boeing 747 jet takes off from Boston's Logan Airport, which is at sea level, and climbs to a cruising altitude of 27,000 ft at a constant rate of 1400ft/min. A.) write a linear equation for the height of the plane in terms of the time after takeoff. B.) use your equation to ...
*March 15, 2010 by kiley*

**Physics**

A block of mass 77.0kg is placed at the top of a frictionless plane that is inclined 46degrees to the horizontal. The height of the plane is 23.0meters. Find the speed of the block and the bottom of the plane. The correct answer is: 21.2m/s... I've tried this equation every ...
*June 11, 2012 by Genny*

**Math**

Plane A is 40 mi south and 100 mi east of Plane B. Plane A is flying 2 miles west for every mile it flies north, while Plane B is flying 3 mi east for every mile it flies south. a. Where do their paths cross? b. Which plane must fly farther? c. What ratio of the speed of Plane...
*September 28, 2009 by newt*

**Math _ Vectors**

A plane flies on a bearing of 120 degrees at a constant speed of 550 km/h. If the velocity of the wind is 50 km/h on a bearing 220 degrees, what is the velocity of the plane with respect to the ground? Textbook Answer: 543.5 km/h at a bearing of 125.2 degrees My answer: 543.6 ...
*February 20, 2008 by Anonymous*

**Math: Calculus - Vectors**

A plane flies on a bearing of 120 degrees at a constant speed of 550 km/h. If the velocity of the wind is 50 km/h on a bearing 220 degrees, what is the velocity of the plane with respect to the ground? Textbook Answer: 543.5 km/h at a bearing of 125.2 degrees My answer: 543.6 ...
*February 20, 2008 by Anonymous*

**Velocity and Displacement**

A plane is sitting on a runway, awaiting takeoff. On an adjacent parallel runway, another plane lands and passes the stationary plane at a speed of 47 m/s. The arriving plane has a length of 32 m. By looking out the window (very narrow), a passenger on the stationary plane can...
*September 1, 2011 by Fainah*

**Math - Equations of planes**

Write a vector equation and scalar equation of the plane containing lines [x,y,z]= [-2,3,12]+s[-2,1,5] [x,y,z]= [1,-4,4]+t[-6,3,15]
*August 27, 2010 by Shaila*

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