# Posts by J

Total # Posts: 1,069

**Calculus**

Find the shortest distance from a point P(2,-1,2) to a line L r= [-1,0,7] + t [4,1,-2].

**Calculus**

thanks reiny!

**Calculus**

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

**Calculus**

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

**Calculus**

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

**Calculus**

thank you reiny, that's the answer i first got but i wasn't sure if it was right, thanks

**Calculus**

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

**Calculus Grade 12 University**

for the #4 i got r = (5, -2, 3) + t(4, -3, 1) --- can you please help me on 5, 6, 7. instead since i got 4. thanks steve

**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 ...

**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.

**Calculus grade 12**

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

**Calculus**

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

**Calculus**

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

**Calculus**

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

**Calculus**

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

**Calculus**

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

**Calculus**

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

**Calculus**

how do i do that...

**Calculus**

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

**Calculus**

thank you steve :)

**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.

**Calculus**

thanks Steve!

**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.

**Calculus**

thanks steve!

**Calculus**

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

**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,

**Calculus**

thanks

**Calculus**

t(t+2) + 4(1-t) - (2t+1) = 0 t = 1,3 like that?

**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.

**Calculus**

thanks!

**Calculus**

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

**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.

**Calculus**

thank you !

**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

**Calculus**

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

**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

**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.

**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

**Calculus**

using cartesian vectors ** forgot to include that.

**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.

**Calculus**

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

**Calculus**

determine the angle between the planes 2x + 2y + 7z = 8 and 3x - 4y + 4z = 5

**Calculus / a bit of physics**

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

**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)

**intro to ethics - philosophy**

Some arguments have complex premises, where too much information is given. Outline the following argument.? Some matters of foreign policy are just beyond George W. Bush’s grasp, for, like in the matter of the prison in Iraq where that female soldier had her pictures ...

**Calculus**

determine the angle between the planes 2x + 2y + 7z = 8 and 3x - 4y + 4z = 5

**Calculus**

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

**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)

**Calculus**

how do i write the parametrics

**Calculus**

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

**Calculus**

thankyou!

**Calculus**

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

**Calculus**

thank you!

**Calculus**

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

**Calculus**

thank you!

**Calculus**

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

**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.

**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...

**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.

**Calculus**

Isnt it 30 + 50 + 10 because 10* 1 is 10 so final is = 90

**Calculus**

could you help me calculate the second part also? thank you

**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

**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.

**Calculus**

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

**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

**Calculus**

thank you :)

**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.

**Astronomy**

not sure

**cheistry**

For 6th grade its 3 questions and for 7th its 4 :D AND IM GUESSING FOR 8 ITS 5 :D XD

**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.

**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

**Calculus**

how do i check that? that the components (z) match "automatically"

**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&...

**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!

**Calculus**

thank you!

**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.

**Calculus**

Explain why a line in three-space cannot be represented by a scalar equation.

**Calculus**

thank you :)

**Calculus**

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

**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!

**Calculus**

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

**Calculus**

thank you! :)

**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!

**Calculus**

Thank you! everything is clear :)

**Calculus**

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

**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

**Calculus**

Explain why a line in three-space cannot be represented by a scalar equation.

**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 ...

**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)

**Calculus grade 12**

thank you :)

**Calculus grade 12**

Explain why three directional vectors of the plane cannot me mutually perpendicular .

**Calculus grade 12**

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

**Calculus grade 12**

Explain why three directional vectors of the plane cannot me mutually perpendicular .

**Calculus grade 12**

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

**Calculus grade 12**

thank you :)

**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).

**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? ...

**Calculus grade 12**

Can you please do b) Steve? Thank you.

**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).

**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."