For , the scalar projection of on is . Find the value of…

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

Problem

For v=xi+2j+3k\mathbf{v}=x\mathbf{i}+2\mathbf{j}+3\mathbf{k}, the scalar projection of v\mathbf{v} on w=3i−j+2k\mathbf{w}=3\mathbf{i}-\mathbf{j}+2\mathbf{k} is 44. Find the value of xx. (a) 414+43\dfrac{4\sqrt{14}+4}{3} (b) 414−43\dfrac{4\sqrt{14}-4}{3} (c) 414−83\dfrac{4\sqrt{14}-8}{3} (d) 414−46\dfrac{4\sqrt{14}-4}{6}

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