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12 September, 20:54

Determine, for vectors u = i + 2j - k, v = - i + j + k, w = i + k (a) a unit vector in the direction u + 2v - 3w

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  1. 12 September, 21:04
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    U=i+2j-k

    v=-i+j+k

    w=i+k

    thus:

    u+2v-3w

    i+2j-k+2 (-i+j+k) - 3 (i+k)

    =i+2j-k-2i+2j+2k-3i-3k

    =i-2i-3i+2j+2j-k+2k-3k

    =-4i+4j-2k
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