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) Determine a unit vector perpendicular to the plane of A = ˆi − 2ˆj + kˆ r and B = 2ˆi + 3ˆj − kˆ r
) Determine a unit vector perpendicular to the plane of A = ˆi − 2ˆj + kˆ
r
and B = 2ˆi + 3ˆj − kˆ
Assume the vector to be ai + bj + ck
as it is perpendicular to other two vectors dot product must be 0
so we get a - 2b + c = 0 by taking dot prod. with first one
and 2a + 3b - c = 0 by taking dot prod. with second one
and it is a unit vector this means a^2 + b^2 + c^2 = 1
you have three variables and three equations solve to get the answer.
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