If vector is rotated through an angle of

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

Problem

If vector i^+2j^+2k^\hat{i} + 2\hat{j} + 2\hat{k} is rotated through an angle of 90∘90^\circ , so as to cross the positive direction of YY -axis, then the vector in the new position is (1) −25i^+5j^−45k^-\frac{2}{\sqrt{5}}\hat{i} + \sqrt{5}\hat{j} - \frac{4}{\sqrt{5}}\hat{k} (2) 25i^−5j^+45k^\frac{2}{\sqrt{5}}\hat{i} - \sqrt{5}\hat{j} + \frac{4}{\sqrt{5}}\hat{k} (3) 4i^−j^−k^4\hat{i} - \hat{j} - \hat{k} (4) None of these

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