All Questions
4
questions
0
votes
2
answers
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Vectors and Planes with parametric equations
Any help would be appreciated!
Find a parametric equation of a line $L$ that is obtained as the intersection of the planes $P$ and $Q$ with scalar equations $$P: x+2y+3z=4$$ and $$Q: x-3y+z=1$$
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- 475
1
vote
3
answers
71
views
Line along shortest distance between two skew lines
We have points $A(1,-1,1),B(6,-3,1),C(2,-1,5),D(5,1,1)$
We also have a line $p$ that goes through the edges $AD$ and $BC$ perpendicularly.
Find the equation of this line:
My try:
$$AD = (4,2,0)$$
$$BC ...
- 2,527
2
votes
3
answers
176
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Difference between distances of two points from a plane
This is the question I am trying to solve: My cat is standing on the plane $3x+2y+z = 4.$ Its head is at $(0,-1,-3)$ and the tip of its tail is at $(-4,-2,-2).$ Measured from the plane, what is the ...
- 93
-2
votes
1
answer
69
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Vector Distance
let there be a line L: $\frac{x-1}{2}= \frac{y+1}{3}= \frac{z}{1}$ and a plane: $2x-y-z=5$. With this given data find: a line L1, such that L1 is parallel to L, is in P, and the distance between L and ...
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