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Math Help - perpendicular vectors

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    perpendicular vectors

    Let and let . Find vectors such that with parallel to and perpendicular to .

    Any help with this question would be brilliant cheers x
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    Quote Originally Posted by Haris View Post
    Let and let . Find vectors such that with parallel to and perpendicular to .
    The formula for a is \mathbf{a} = (\mathbf{v.u}/\|\mathbf{u}\|^2)\mathbf{u}, where the dot denotes the scalar product and \|\mathbf{u}\| = (4^2+(-4)^2+5^2)^{1/2} is the norm (or length) of u. Once you have found a, let b=v-a, and keep your fingers crossed that b is orthogonal (perpendicular) to u.
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