Find the indicated cross product.
-v = i + 2j + 2k, w = 6i + 5j - k Find v × w.
A) -12i + 13j - 7k
B) -7i + 12j - 13k
C) 9i - 8j - 28k
D) 8i - 11j + 17k

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 result is $ -12\mathbf{i} + 13\mathbf{j} - 7\mathbf{k} $.

Find the Indicated Cross Product