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September 20, 2014

September 20, 2014

Total # Posts: 724

**Calculus Grade 12 University**

thanks steve. do you know how to do these ones? :( 4. Write a vector equation of the line through the point (5, -2, 3) and parallel to the vector v=[4, -3, 1] 5. Determine an equation for the plane that is exactly between the points A(-1, 2, 4) and B(3, 1, -4). 6. Find out if ...
*May 26, 2012*

**Calculus Grade 12 University**

8. Find the vector equation of the line in which the 2 planes 2x - 5y + 3z = 12 and 3x + 4y - 3z = 6 meet.
*May 26, 2012*

**Calculus grade 12**

7. Where does the line r = (1, 2, -5) + t (2, -3, 1) meet the plane 2x + 5y - 3z = 6?
*May 26, 2012*

**Calculus**

6. Find out if the line r = (1, 3, 8) + t (-2, 5, 7) is parallel to the plane 3x + 4y - 2z = 1
*May 26, 2012*

**Calculus**

5. Determine an equation for the plane that is exactly between the points A(-1, 2, 4) and B(3, 1, -4).
*May 26, 2012*

**Calculus**

4. Write a vector equation of the line through the point (5, -2, 3) and parallel to the vector v=[4, -3, 1]
*May 26, 2012*

**Calculus**

6. Find out if the line r = (1, 3, 8) + t (-2, 5, 7) is parallel to the plane 3x + 4y - 2z = 1
*May 25, 2012*

**Calculus**

5. Determine an equation for the plane that is exactly between the points A(-1, 2, 4) and B(3, 1, -4).
*May 25, 2012*

**Calculus**

is it like this r = (5, -2, 3) + t (4, -3, 1) thats all i have to do for this question?
*May 25, 2012*

**Calculus**

how do i do that...
*May 25, 2012*

**Calculus**

4. Write a vector equation of the line through the point (5, -2, 3) and parallel to the vector v=[4, -3, 1]
*May 25, 2012*

**Calculus**

thank you steve :)
*May 25, 2012*

**Calculus**

3. Determine that the vectors u=[t, 4, 2t+1] and v=[t+2, 1-t, -1] are perpendicular, find the possible values of the contant, t.
*May 25, 2012*

**Calculus**

thanks Steve!
*May 25, 2012*

**Calculus**

2. Give that the vectors u=[2, t, -4] and v=[1, -3, t-4] are perpendicular, find the value of the constant, t.
*May 25, 2012*

**Calculus**

thanks steve!
*May 25, 2012*

**Calculus**

1. Find a unit vector which is perpendicular to both of the vectors m=[4, 2, -3] and n=[2, -3, 1]
*May 25, 2012*

**spanish/help pleaseeeee**

cuando yo era chica, mi vida era muy diferente. Yo nunca trabajaba, solo jugaba con mis amigas. Mis padres iban al trabajo y mis abuelos me cuidaban. Nosotros no teniamos un televisor, por eso nos divertiamos con la conversacion, los juegos y la musica,
*May 24, 2012*

**Calculus**

thanks
*May 24, 2012*

**Calculus**

t(t+2) + 4(1-t) - (2t+1) = 0 t = 1,3 like that?
*May 24, 2012*

**Calculus**

3. Determine that the vectors u=[t, 4, 2t+1] and v=[t+2, 1-t, -1] are perpendicular, find the possible values of the contant, t.
*May 24, 2012*

**Calculus**

thanks!
*May 24, 2012*

**Calculus**

You want u.v=0 2 - 3t - 4(t-4) = 0 t = 18/7 like that?
*May 24, 2012*

**Calculus**

2. Give that the vectors u=[2, t, -4] and v=[1, -3, t-4] are perpendicular, find the value of the constant, t.
*May 24, 2012*

**Calculus**

thank you !
*May 24, 2012*

**Calculus**

| i j k | | 4 2 -3 | | 2 -3 1 | = [-7,-10,-16]/9√5 like this? please check if it's correct, thanks MathMate
*May 24, 2012*

**Calculus**

1. Find a unit vector which is perpendicular to both of the vectors m=[4, 2, -3] and n=[2, -3, 1]
*May 24, 2012*

**Maths**

Dear Rainy, Shape is 300 * 300 so total 90000 sq feet. Now since u know the shape, can u pl guide abt the answer. Thank u v much in advance. J
*May 22, 2012*

**Maths**

How many trees can be planted in an area of 90000 sq feet if vertically 8 feet distance and horizontally 3 feet distance is to be kept? Pl show the method of calculations.
*May 22, 2012*

**Calculus**

Write a vector equation AND parametric equations of the line through the points A(6,-1,5) and B(-2,-3,6) direction vector = [8,2,-1] a vector equation r = (6,-1,5) + t(8,2,-1) use that to write the parametrics how do i write parametrics
*May 17, 2012*

**Calculus**

using cartesian vectors ** forgot to include that.
*May 17, 2012*

**Calculus**

determine the each resultant a) 10 km/h north followed by 8 km/h west b) 25 N at 10 degrees to the horizontal and 30 N horizontally.
*May 17, 2012*

**Calculus**

three forces each of magnitude 50 N, act in eastward, westward, and northwest directions, Find the resultant force.
*May 17, 2012*

**Calculus**

determine the angle between the planes 2x + 2y + 7z = 8 and 3x - 4y + 4z = 5
*May 17, 2012*

**Calculus / a bit of physics**

explain why a scalar equation of the line exists in 2-D space, but not in 3-D space.
*May 17, 2012*

**Calculus**

determine an equation for each plane a) contains the point A(6,2,3), B(5,1,-3), and C(5,7,-2) b) parallel to 2x + 6y + 4z = 1 and contains the point P(3,2,1)
*May 17, 2012*

**Calculus**

determine the angle between the planes 2x + 2y + 7z = 8 and 3x - 4y + 4z = 5
*May 10, 2012*

**Calculus**

explain why a scalar equation of the line exists in 2-D space, but not in 3-D space.
*May 10, 2012*

**Calculus**

determine an equation for each plane a) contains the point A(6,2,3), B(5,1,-3), and C(5,7,-2) b) parallel to 2x + 6y + 4z = 1 and contains the point P(3,2,1)
*May 10, 2012*

**Calculus**

how do i write the parametrics
*May 9, 2012*

**Calculus**

Write a vector equation AND parametric equations of the line through the points A(6,-1,5) and B(-2,-3,6)
*May 9, 2012*

**Calculus**

thankyou!
*May 9, 2012*

**Calculus**

Determine the vector u = AB and its magnitude, given A(3,7,-2) and B(9,1,5).
*May 9, 2012*

**Calculus**

thank you!
*May 9, 2012*

**Calculus**

Calculate the angle between u = [5,7,-1] and v = [8,7,8]
*May 9, 2012*

**Calculus**

thank you!
*May 9, 2012*

**Calculus**

Calculate the dot product of two vectors: m = [4,5,-1] and n = [6,-2,7]
*May 9, 2012*

**Calculus**

Find the total work done by a 15 N force in the direction of the vector [1,2,2], when it moves a particle from O[0,0,0] to P[1,-3,4] and then from P to A[7,2,5]. Distance is measured in metres.
*May 8, 2012*

**Calculus**

for this question, do i have to solve it? it just says interpret the results, does that mean only explain? im trying to solve it right now. i have: L1: [x,y,z]=[-1,1,0]+s[3,4,-2] L2: [x,y,z]=[5,9,-4]+t[2,3,1] First, cross product of the two directional vectors from both lines...
*May 7, 2012*

**Calculus**

Find the distance between the lines [x,y,z] = [-1,1,0] + s[3,4,-2] and [x,y,z] = [5,9,-4] + t[2,3,1]. Interpret the result.
*May 7, 2012*

**Calculus**

Isnt it 30 + 50 + 10 because 10* 1 is 10 so final is = 90
*May 7, 2012*

**Calculus**

could you help me calculate the second part also? thank you
*May 7, 2012*

**Calculus**

I don't understand it.. what is the final work done? Also, the arrows (< and >) are they actually supposed to be written as < and > or are they supposed to mean brackets ( ) or these brackets [] thank you
*May 7, 2012*

**Calculus**

Find the total work done by a 15 N force in the direction of the vector [1,2,2], when it moves a particle from O[0,0,0] to P[1,-3,4] and then from P to A[7,2,5]. Distance is measured in metres.
*May 7, 2012*

**Calculus**

We need the direction of their line of intersection? That's all the question mentioned... so is that still the correct answer? :/
*May 7, 2012*

**Calculus**

Find the vector equation of the line that passes through the point (2,-1,7) and is parallel to the line of intersection of the planes x + 2y - 3z = -6 and 3x - y + 2z = 4
*May 7, 2012*

**Calculus**

thank you :)
*May 7, 2012*

**Calculus**

Three forces of 5 N, 8 N, and 10 N act from the corner of a cube along its edges. Using Cartesian vectors, find the magnitude of the resultant force.
*May 7, 2012*

**Calculus**

Three forces of 5 N, 8 N, and 10 N act from the corner of a cube along its edges. Using Cartesian vectors, find the magnitude of the resultant force.
*May 6, 2012*

**Calculus**

Find the vector equation of the line that passes through the point (2,-1,7) and is parallel to the line of intersection of the planes x + 2y - 3z = -6 and 3x - y + 2z = 4
*May 6, 2012*

**Calculus**

how do i check that? that the components (z) match "automatically"
*May 6, 2012*

**Calculus**

is this a) First see that the two vectors are orthogonal: [4,8,-4].[-1,2,3]=-4+16-12=0 => orthogonal Next solve for s and t for each coordinate direction (x,y,z) 4+4t=1-s 7+8t=5+2s => s=-1, t=-1/2 and this b) Substitute into original equation: <4,7,-1>-<2,4,-2&...
*May 6, 2012*

**Calculus**

10. Consider the lines [x,y,z] = [4,7,-1] + t[4,8,-4] and [x,y,z] = [1,5,4] + s[-1,2,3]. a) Show that the lines intersect at the right angle. b) find the point of intersection. please and thanks!
*May 6, 2012*

**Calculus**

thank you!
*May 5, 2012*

**Calculus**

Does the line [x,y,z] = [-2,6,5] + t[3,2,-1] lie in the plane 3x - 4y + z + 25 = 0 ? Please show work.
*May 5, 2012*

**Calculus**

Explain why a line in three-space cannot be represented by a scalar equation.
*May 5, 2012*

**Calculus**

thank you :)
*May 5, 2012*

**Calculus**

Determine an equation for the line parallel to 2x + 6y + 4z = 1 and contains the point P(3, 2, 1).
*May 5, 2012*

**Calculus**

So the final answer for this one would be [x,y,z]=[6,10,1]+1[3,4,-1]=[9,14,0] ? Thank you!
*May 5, 2012*

**Calculus**

Where does the line [x, y, z] = [6, 10, 1] + t[3, 4, -1] meet the xy-plane?
*May 5, 2012*

**Calculus**

thank you! :)
*May 5, 2012*

**Calculus**

Could you please help me with this question though, I don't understand this one: Explain why a line in three-space cannot be represented by a scalar equation. thank you!
*May 5, 2012*

**Calculus**

Thank you! everything is clear :)
*May 5, 2012*

**Calculus**

I don't understand it still.. So is a) parallel and b) coincidental? Please help! :(
*May 5, 2012*

**Calculus**

Determine if the planes in each pair are parallel and distinct or coincident. a) 5x - 2y + 4z = 7 5x - 2y + 4z = -3 b) 7x - 3y - z = 9 21x - 9y - 3z = 27
*May 5, 2012*

**Calculus**

Explain why a line in three-space cannot be represented by a scalar equation.
*May 5, 2012*

**Calculus**

Hi bobpursley, I got 2 answers for a) but I'm not sure which one is correct, could you please help me determine which is correct? the first answer I got is posted in this question, the second answer I got is this one for part a) could you please help me for a) I got this ...
*May 4, 2012*

**Calculus**

1. a) Write the vector and parametric equations of the line through the points A(6, -1, 5) and B(-2, -3, 6). b) Find another point on the line in (a). ----- This is what I got for a) r = 6i-j+5k + t(-8i-2j+k) x = 6-8t y = -1-2t z = 5+t I need help with b)
*May 4, 2012*

**Calculus grade 12**

thank you :)
*May 4, 2012*

**Calculus grade 12**

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

**Calculus grade 12**

Determine an equation for the line parallel to 2x + 6y + 4z = 1 and contains the point P(3, 2, 1).
*May 4, 2012*

**Calculus grade 12**

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

**Calculus grade 12**

Determine an equation for the line parallel to 2x + 6y + 4z = 1 and contains the point P(3, 2, 1).
*May 3, 2012*

**Calculus grade 12**

thank you :)
*May 3, 2012*

**Calculus grade 12**

Determine an equation for the plane that contains the points A(6, 2, 3), B(5, 1, -3), and C(5, 7, -2).
*May 3, 2012*

**Calculus grade 12**

Steve, for a) I got this instead: vector equation: [x, y, z] = [6, -1, 5] + t[-8, -2, 1] parametric equation: x=6+t(-2) x=6-2t y=-1+t(-3) y=-1-3t z=5+6t is that correct? ...
*May 3, 2012*

**Calculus grade 12**

Can you please do b) Steve? Thank you.
*May 3, 2012*

**Calculus grade 12**

1. a) Write the vector and parametric equations of the line through the points A(6, -1, 5) and B(-2, -3, 6). b) Find another point on the line in (a).
*May 3, 2012*

**African American Lit**

Would the last stanza be an example of Naturalism? "Maud, who went to college, Is a thin brown mouse. She is living all alone In this old house."
*May 2, 2012*

**African American Lit**

For what I am trying to understand I am using these definitions: Realism- a faithful reproduction of reality and promotes awareness Naturalism- a harsher treatment of reality and realism Modernism- connecting realism and naturalism to today.
*May 2, 2012*

**African American Lit**

How is the poem 'Sadie and Maud' by Gwendolyn Brooks synonymous to Realism, Naturalism and Modernism?
*May 2, 2012*

**PHYSICS**

A catapult launches a rocket at an angle of 56.9° above the horizontal with an initial speed of 100 m/s. The rocket engine immediately starts a burn, and for 3.25 s the rocket moves along its initial line of motion with an acceleration of 28.1 m/s2. Then its engine fails, ...
*April 25, 2012*

**Chemistry**

I still dont understand what to do after setting the K= pO2^(3/2). What do you substitute into the O2?
*April 6, 2012*

**algebra**

Participants in a psychology experiment were able to memorize an average of M words in t minutes, where M = −0.001t3 + 0.1t2. Use the following graph.Estimate the number of words memorized after 14 min. m 20 / 18 / 16 / 14 / 12 / 10 / 8 / 6 / 4 / 2/02468101214161820t
*April 5, 2012*

**math**

Determine the water level inside a tank that has a diameter of 40 feet and contains 180,000 gallons of water?
*March 26, 2012*

**RUBY MS**

what is 8.3% of 132,000,000
*March 23, 2012*

**Physics**

A 83-kg fisherman in a 122-kg boat throws a package of mass m = 15 kg horizontally toward the right with a speed of vi = 4.7 m/s as in the figure below. Neglecting water resistance, and assuming the boat is at rest before the package is thrown, find the velocity of the boat ...
*March 19, 2012*

**Physics**

An object has a kinetic energy of 244 J and a momentum of magnitude 24.9 kg · m/s. (a) Find the speed of the object. (b) Find the mass of the object.
*March 19, 2012*

**Chemistry**

my deltaGf was dGf=290.4kJ/mol i got K=1.69e18 as my answer and it was correct. still getting the equation wrong though :/
*March 14, 2012*

**math**

nicks class has 30 students. 2/5 of his class sings in the school chorus. how many students sing in the chorus?
*March 13, 2012*

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