- #1
1MileCrash
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Homework Statement
Consider z = -3x - y + 11
Find a unit vector perpendicular to the plane, and find a vector parallel to the plane.
Homework Equations
The Attempt at a Solution
1.)
0 = -3x - y + 11 - z
-11 = - 3x - y - z
Perpendicular vector is then:
-3i -j -k
And to make that a unit vector, divide it by sqrt(11)
2.)
Here's what I'm not sure of. Can I just pick anything that gives me a dot product of 0 with the above?
Such that:
- 3a - b - c = 0?
Choosing a = -3, b = 5, c = 4,
A parallel vector to the plane is -3i + 5j + 4k?
Or is that incorrect?