Use the given vectors to find the indicated expression.
-v = -3i + 5j - 4k, w = 2i + 4j - 2k, u = -4i - 4j - 3k Find v · (v × w).
A) 90
B) 0
C) -90
D) 130

Question

Quizplus · Accepted Answer

The dot product of a vector with the cross product of two vectors, including itself (v · (v × w)), is always 0. This is because the cross product of two vectors is orthogonal (perpendicular) to both vectors, and the dot product of a vector with a perpendicular vector is 0.

Use the Given Vectors to Find the Indicated Expression