A vector whose modulus is and makes the same angle with

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

Problem

A vector whose modulus is 51\sqrt{51} and makes the same angle with a=i^−2j^+2k^3\mathbf{a} = \frac{\hat{i} - 2\hat{j} + 2\hat{k}}{3} , b=−4i^−3k^5\mathbf{b} = \frac{-4\hat{i} - 3\hat{k}}{5} and c=j^\mathbf{c} = \hat{j} , will be (1) 5i^+5j^+k^5\hat{i} + 5\hat{j} + \hat{k} (2) 5i^+j^−5k^5\hat{i} + \hat{j} - 5\hat{k} (3) 5i^+j^+5k^5\hat{i} + \hat{j} + 5\hat{k} (4) ±(5i^−j^−5k^)\pm (5\hat{i} - \hat{j} - 5\hat{k})

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