Points , and are given. Determine the vector that must be added to so that the sum…

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

Problem

Points A(1,−2,3)A(1,-2,3), B(4,0,−1)B(4,0,-1) and C(−2,5,2)C(-2,5,2) are given. Determine the vector p\mathbf{p} that must be added to BA→\overrightarrow{BA} so that the sum equals BC→\overrightarrow{BC}. (a) 3i^−7j^+k^3\hat{i}-7\hat{j}+\hat{k} (b) −9i^+3j^+7k^-9\hat{i}+3\hat{j}+7\hat{k} (c) −3i^+7j^−k^-3\hat{i}+7\hat{j}-\hat{k} (d) −3i^+7j^+k^-3\hat{i}+7\hat{j}+\hat{k}

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