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8 January, 04:33

For what values of a are v = a i - j + k and w = a i + a j - 3 k perpendicular? give exact values.

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  1. 8 January, 04:39
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    The vectors are perpendicular when their dot product is zero. That is

    ... a^2 - a - 3 = 0

    ... (a - 1/2) ^2 - 13/4 = 0

    ... a = (1 ±√13) / 2
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