Vectors

Determine the angle that vector a= (12,-3,4) makes with the y-axis.

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  1. A vector B along y axis could be 0i + 1 j + 0 k
    Then what is A dot B ?
    B = 0 i + 1 j + 0 k
    A = 12i - 3 j + 4 k

    A dot B = 0 -3 + 0 = -3
    |A| = sqrt (144+9+16)
    |B| = 1
    cos (T) = -3/(|A||B|)

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