For and , find the scalar projection of on…

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

Problem

For a=2i+3j+k\mathbf{a}=2\mathbf{i}+3\mathbf{j}+\mathbf{k} and b=i−j+2k\mathbf{b}=\mathbf{i}-\mathbf{j}+2\mathbf{k}, find the scalar projection of a\mathbf{a} on b\mathbf{b}. (a) −16-\dfrac{1}{\sqrt{6}} (b) 114\dfrac{1}{\sqrt{14}} (c) 16\dfrac{1}{\sqrt{6}} (d) 6\sqrt{6}

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