The vector , directed along the internal bisector of the angle between the vectors…

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

Problem

The vector c\mathbf{c} , directed along the internal bisector of the angle between the vectors a=7i^−4j^−4k^\mathbf{a} = 7\hat{i} - 4\hat{j} - 4\hat{k} and b=−2i^−j^+2k^\mathbf{b} = -2\hat{i} - \hat{j} + 2\hat{k} with ∣c∣=56|\mathbf{c}| = 5\sqrt{6} , is (1) 53(i^−7j^+2k^)\frac{5}{3}(\hat{i} - 7\hat{j} + 2\hat{k}) (2) 53(5i^+5j^+2k^)\frac{5}{3}(5\hat{i} + 5\hat{j} + 2\hat{k}) (3) 53(i^+7j^+2k^)\frac{5}{3}(\hat{i} + 7\hat{j} + 2\hat{k}) (4) 53(−5i^+5j^+2k^)\frac{5}{3}(-5\hat{i} + 5\hat{j} + 2\hat{k})

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