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Help With Easy Vector Addition Problem?

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What is the angle theta between vectors A and B if A = 4i - 2j and B = -7i + 7j

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  1. Using the dot product (A•B) method:

    A = <4,-2>

    B = <-7,7>

    A•B = 4*(-7) + (-2)*7 = ...

    ||A|| = sqrt(4² + (-2)²) = ...

    ||B|| = sqrt((-7)² + 7²) = ...

    Θ = arccos[(A•B) / (||A||*||B||)] = ...

    (arccos = cos^-1)

    Or you can do it the long way, using the xy-plane and some trig formulas.

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