Find the indicated cross product.
-v = 6i - 5j + 4k, w = -6i + 2j + 3k Find v × w.

Question

Quizplus · Accepted Answer

The cross product of two vectors is a vector that is perpendicular to both of the original vectors. The direction of the cross product is given by the right-hand rule. The magnitude of the cross product is equal to the area of the parallelogram formed by the two vectors.In this case, the cross product of v and w is:v × w = (6i - 5j + 4k) × (-6i + 2j + 3k)= -36i^2 + 12ij - 18ik + 30ji - 10j^2 - 12jk + 24ki - 10kj - 12k^2= -23i - 42j - 18kTherefore, the correct answer is A.

Find the Indicated Cross Product