math

given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q are the unit vectors,find the dot product of vectors p and q?

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  1. we know that
    (p+2q)•(5p-4q) = 0
    5p•p + 10p•q - 4p•q - 8q•q = 0
    since p and q are unit vectors, we have
    5 + 6p•q - 8 = 0
    p•q = 1/2

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