Find the indicated cross product.
-v = 6i + 5j - 3k, w = -4i - 4k Find v × w.
A) -20i + 12j - 20k
B) -20i + 36j + 20k
C) -15i + 34j + 30k
D) 20i + 20j - 36k

Question

Quizplus · Accepted Answer

The cross product $ \mathbf{v} \times \mathbf{w} $ is calculated using the determinant of a matrix formed by the unit vectors $ \mathbf{i}, \mathbf{j}, \mathbf{k} $ in the first row, the components of $ \mathbf{v} $ in the second row, and the components of $ \mathbf{w} $ in the third row. The calculation yields $ -20\mathbf{i} + 36\mathbf{j} + 20\mathbf{k} $, which matches option B.

Find the Indicated Cross Product