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20. Given vectors A = -2î+31 and B = 4î+ĵ, and if vector C has a magnitude of 5 and makes an angle of 453.13° with the positive horizontal (Note: vectors A, B and C all lie in the x-y plane), find: a. A + B = b. A-B = c. A + B - C =

20. Given vectors A = -2î+31 and B = 4î+ĵ, and if vector C has a magnitude of 5 and makes an angle of 453.13° with the positive horizontal (Note: vectors A, B and C all lie in the x-y plane), find: a. A + B = b. A-B = c. A + B - C =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
Problem 12T
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Question
20. Given vectors A = -2î+3ĵ and B = 4î+ĵ, and if vector C has a magnitude of 5 and makes an angle of 453.13° with the positive horizontal (Note: vectors A, B and C all lie in the x-y plane), find: a. A + B = b. A - B = c. A + B - C =
Transcribed Image Text:20. Given vectors A = -2î+3ĵ and B = 4î+ĵ, and if vector C has a magnitude of 5 and makes an angle of 453.13° with the positive horizontal (Note: vectors A, B and C all lie in the x-y plane), find: a. A + B = b. A - B = c. A + B - C =
Expert Solution
Step 1

The equation of a vector whose magnitude is r and makes and angle θ is given by

 P=r cos(θ)i + r sin(θ)j

Vector addition and subtraction are component wise addition and subtraction.

Vector sum and diffence obey associative law.

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