Find the triple scalar product (u x v) · w of the given vectors.
-u = -5i - 3j + 4k; v = 8i - 6j + 7k; w = 8i - 7j - 10k
A) -169
B) -985
C) 29
D) -889

Question

Quizplus · Accepted Answer

The triple scalar product (u x v) · w is calculated by finding the cross product of u and v, and then taking the dot product of the result with w. The cross product u x v is calculated as the determinant of a matrix with i, j, k unit vectors in the first row, components of u in the second row, and components of v in the third row. The resulting vector is then dotted with w to get the scalar value -985.

Find the Triple Scalar Product (U X V) · W