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(a) Find the scalar product of the two vectors A = 4.00î + 7.00ĵ and B %3D = 5.00î – 2.00ĵ %3D (b) Find the angle between these two vectors.

(a) Find the scalar product of the two vectors A = 4.00î + 7.00ĵ and B %3D = 5.00î – 2.00ĵ %3D (b) Find the angle between these two vectors.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I am having a really hard time understanding this problem for my physics 50 class.

10- (a) Find the scalar product of the two vectors A = 4.00î +7.00ĵ and B %3D = 5.00î – 2.00ĵ (b) Find the angle between these two vectors.
Transcribed Image Text:10- (a) Find the scalar product of the two vectors A = 4.00î +7.00ĵ and B %3D = 5.00î – 2.00ĵ (b) Find the angle between these two vectors.
Expert Solution
Step 1

Scalar product of two vectors A and B, making an angle θ with each other, is given as

A•B = ABcosθ 

⇒θ = cos⁻¹(A•B/AB)      .....(1) 

Where A and B are magnitudes of the vectors.

 

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