How do you find two unit vectors perpendicular to the xy plane with equation 3x-4y=17?

1 Answer
Eddie
Feb 24, 2017

See below

Explanation:

The x-y plane has 2 natural basis vectors hat x = ((1),(0),(0)) and hat y = ((0),(1),(0)), and orthonormal vector hat z = ((0),(0),(1)).

Any ordered pair that satisfies 3x - 4y = 17 is a point that lies on the xy plane. Any vector that connects any 2 such points also lies on that xy plane.

I am afraid that the question does not make much sense to me :(

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