Vectors A =4

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

Problem

Vectors A=4 i^+3 j^\mathbf{A}=4\,\mathbf{\hat{i}}+3\,\mathbf{\hat{j}} and B=−1 i^+5 j^\mathbf{B}=-1\,\mathbf{\hat{i}}+5\,\mathbf{\hat{j}} are taken one after the other as two sides of a triangle. Which of the following vectors must be the third side so that the triangle closes? (a) 3 i^+8 j^3\,\hat{\mathbf{i}}+8\,\hat{\mathbf{j}} (b) 8 i^+3 j^8\,\hat{\mathbf{i}}+3\,\hat{\mathbf{j}} (c) −3 i^−8 j^-3\,\hat{\mathbf{i}}-8\,\hat{\mathbf{j}} (d) −3 i^+8 j^-3\,\hat{\mathbf{i}}+8\,\hat{\mathbf{j}}

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