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Math Help - Resolving a vector into the sum of two other vectors (using dot products)

  1. #1
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    Resolving a vector into the sum of two other vectors (using dot products)

    Hi, I'm having trouble with a linear algebra question and would really appreciate some help.

    resolve the vector u = 5i + j + 6k into a sum of two vectors, one of which is parallel to and the other perpendicular to v = 3i - 6j + 2k

    Thanks!
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    \displaystyle<br />
U_\parallel   = \frac{{U \cdot V}}<br />
{{V \cdot V}}V\;\& \,U_ \bot   = U - U_\parallel
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