Consider the vectors A = -21 + 51 - 4k and B = 51 - 7₁ + 6k. Calculate the following quantities. (Give your answers in degrees.) A. B AB (a) cos-1 171.8 (b) sin-1 A x B AB 46.3 X Review the formula for calculating the vector product directly from components. Be careful of the signs in your calculation. Be sure to take the magnitude of the result of the vector product. Be sure to find the angle in degrees and not radians. (c) Which give(s) the angle between the vectors? (Select all that apply.) ✔The answer to Part (a). The answer to Part (b).

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 8PQ
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Consider the vectors A = -
(a) cos
171.8
(b) sin
A . B
AB
-2î + 5ĵ - 4k and B = 5î − 7ĵ + 6k. Calculate the following quantities. (Give your answers in degrees.)
|A x B|
AB
O
46.3
Review the formula for calculating the vector product directly from components. Be careful of the signs in your calculation. Be sure to take the magnitude
of the result of the vector product. Be sure to find the angle in degrees and not radians. º
(c) Which give(s) the angle between the vectors? (Select all that apply.)
The answer to Part (a).
The answer to Part (b).
Transcribed Image Text:Consider the vectors A = - (a) cos 171.8 (b) sin A . B AB -2î + 5ĵ - 4k and B = 5î − 7ĵ + 6k. Calculate the following quantities. (Give your answers in degrees.) |A x B| AB O 46.3 Review the formula for calculating the vector product directly from components. Be careful of the signs in your calculation. Be sure to take the magnitude of the result of the vector product. Be sure to find the angle in degrees and not radians. º (c) Which give(s) the angle between the vectors? (Select all that apply.) The answer to Part (a). The answer to Part (b).
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