Let , , and . Find if…

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

Problem

Let u=2i^−3j^+4k^\mathbf{u}=2\hat{i}-3\hat{j}+4\hat{k}, v=−i^+5j^−2k^\mathbf{v}=-\hat{i}+5\hat{j}-2\hat{k}, and w=3i^−j^−k^\mathbf{w}=3\hat{i}-\hat{j}-\hat{k}. Find ∣R∣|\mathbf{R}| if R=u−2v+w\mathbf{R}=\mathbf{u}-2\mathbf{v}+\mathbf{w}. (a) 757\sqrt{5} (b) 767\sqrt{6} (c) 226\sqrt{226} (d) 1515

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