Calculating Dot Product Using Components Video Lessons

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Problem: Find the angle between the following pair of vectors A = Ax î + Ay ĵ and B = Bx î + By ĵ.Ax1 = -2.20, Ay1 = 6.60; Bx1 = 2.00, By1 = -2.30.

FREE Expert Solution

Vector dot product:

A·B=|A||B|cosθ

Vector magnitude:

|A|=Ax2+Ay2

θA1B1=cos-1(A1·B1|A1||B1|)

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Problem Details

Find the angle between the following pair of vectors A = Ax î + Ay  and B = Bx î + By .

Ax1 = -2.20, Ay1 = 6.60; Bx1 = 2.00, By1 = -2.30.

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