- #1
Square1
- 143
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Homework Statement
Im working currently with vectors. The question asks for the distance between two planes given by the two following equations:
x + y -2z = 0
3x + 3y -6z = 1
Homework Equations
I know the planes, H1, and H2 are parallel, so I can pick any random point on either, call the point Q, use the other plane as my H, and apply the following formula:
distance(H,Q) = (q-p) dot (n/|n|)
The Attempt at a Solution
Im assuming that someone familiar with vectors and lin. alg is going to answer this so I am not writing the whole essay. But yea if more explanation is needed then let me know.
For H I chose the first plane, so that n from plane 1 is (1, 1, -2). Correct me if I am wrong but I understand that you do need to pick the appropriate plane/line to use the right n? Or can it be either?
For Q on plane 2 I did - (1/3, 0, 0)
For a point P on plane 1 I chose (0,0,0)
After using the corresponding position vectors for the two points, I plug them in the formula and get the result:
(1)/(3√6), but my answers say it is (√6)/(9)
Thanks all.