For the vectors A 4 i 2 j 8 k and B 3 i Stephanie Redfern Saylor

Question 37 / 40: For the vectors A= 4 i + 2 j + 8 k and B = 3 i -2 j - 7 k, where i, j, and k are unit vectors in a rectangular coordinate system, perform the following task. From the formula ||A x B|| = ||A|| ||B|| sin(q), calculate q.

A 38.4 degrees

B 84.3 degrees

C 0.843 degrees

D 0.85 radians

E 3.84 radians

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Explanation:

q = asin(54.44/72.17) = 0.843 radians. Note that this answer is not the same as that obtained via the scalar dot product. Rather, that answer is exactly pi (3.14159) - q.

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©flickr: Alexander

Mechanics I ME102

Author:

Stephanie Redfern

The Saylor Foundation

USA

Access: Public Instant Grading

Attribution: Stephanie Redfern, Ranjeet (Ron) Agarwala, and Dr. Steve Gibbs. Mechanics I. The Saylor Academy 2014, http://www.saylor.org/courses/me102/

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