Find the triple scalar product (u x v) · w of the given vectors.
-u = 2i - 4j + 3k; v = -4i - 7j + 9k; w = 7i - 3j + 3k
A) 495
B) -3
C) 142
D) -105

Name: Find the triple scalar product (u x v) · w of the given vectors. -u = 2i - 4j + 3k; v = -4i - 7j + 9k; w = 7i - 3j + 3k A) 495 B) -3 C) 142 D) -105
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Question

Quizplus · Accepted Answer

u x v =  (2i - 4j + 3k) x (-4i - 7j + 9k)
= -15i - 6j - 30k

(u x v) · w = (-15i - 6j - 30k) · (7i - 3j + 3k)
= -105 + 18 + 90
= - 87

Therefore, the answer is D, -105.

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