Given the vectors a=<8,6,8> and b=<1,2,-1>, express a as a sum of a vector parallel to b and a vector perpendicular to b. Thanks!
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$\displaystyle a = \frac{{a \cdot b}}{{b \cdot b}}b + \left[ {a - \frac{{a \cdot b}}{{b \cdot b}}b} \right]$
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