Let and . Determine the vector projection (component) of along…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let a=3i−j+4k\mathbf{a}=3\mathbf{i}-\mathbf{j}+4\mathbf{k} and b=2i+2j+k\mathbf{b}=2\mathbf{i}+2\mathbf{j}+\mathbf{k}. Determine the vector projection (component) of a+b\mathbf{a}+\mathbf{b} along b\mathbf{b}. (a) 173 b\dfrac{17}{3}\,\mathbf{b} (b) 179 (a+b)\dfrac{17}{9}\,(\mathbf{a}+\mathbf{b}) (c) 179 b\dfrac{17}{9}\,\mathbf{b} (d) 89 b\dfrac{8}{9}\,\mathbf{b}

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