Thread: Question Analytic Geometry

Determine the vector v that is orthogonal to the vector u = (2, -3, -12) and is colinear to the vector w = (-6, 4, -2)?

Know that answer is v = t(3, -2, 1), but I can not get to it.

Originally Posted by steel

Determine the vector v that is orthogonal to the vector u = (2, -3, -12) and is colinear to the vector w = (-6, 4, -2)?

Know that answer is v = t(3, -2, 1), but I can not get to it.

w is orthogonal to u therefore every vector v collinear to w is orthogonal to u

v = tw = t(-6, 4, -2) or t'(3, -2, 1) if you prefer (with t' = -2t)