Find the angle between each of the following pairs of vectors A⃗ = Axi^+Ayj^ and B⃗ = Bxi^+Byj^ ... Ax1 = - 3.20, Ay1 = 4.40; Bx1 = 2.70, By1 = - 3.10. i know this is dot prodoct but the calculater just keep saying error

Question

Aliana Parks

Mathematics

22 June, 11:13

Find the angle between each of the following pairs of vectors A⃗ = Axi^+Ayj^ and B⃗ = Bxi^+Byj^ ... Ax1 = - 3.20, Ay1 = 4.40; Bx1 = 2.70, By1 = - 3.10. i know this is dot prodoct but the calculater just keep saying error

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Answers (1)

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Cedric Duffy · Answer 1

You can solve this using the formula

θ = cos-1 [ (Ax1 Bx1 + Ax2 Bx2) / (sqrt ((Ax1^2 + Bx1^2) (Ax2^2 + Bx2^2)))

You plug in the given values and you get the angle which is

θ = 172°

The angle between the two vectors is 172°