The value of

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

Problem

The value of aa , for which the points, AA , BB , CC with position vectors 2i^−j^+k^2\hat{i} - \hat{j} + \hat{k} , i^−3j^−5k^\hat{i} - 3\hat{j} - 5\hat{k} and ai^−3j^+k^a\hat{i} - 3\hat{j} + \hat{k} respectively are the vertices of a right angled triangle with C=π2C = \frac{\pi}{2} are [AIEEE 2006] (1) -2 and -1 (2) -2 and 1 (3) 2 and -1 (4) 2 and 1

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