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The value of 'a' for which the points A...

The value of 'a' for which the points A, B,C with position vectors ` 2hati - hatj + hatk , hati + 2hatk, hati -3hatj - 5hatk and a hati -3hatj +hatk` respectively are the vertices of a right angled triangle with ` C = pi//2`, are

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