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Vector Algebra question

2006 · Shift 0 · Q65
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Vector Algebra question

2006 · Shift 0 · Q65

JEE MainMathematicsVector AlgebraMCQ+4 / −1
The values of a, for which the points A,B,CA, B, CA,B,C with position vectors 2i^−j^+k^,  i^−3j^−5k^2\widehat i - \widehat j + \widehat k,\,\,\widehat i - 3\widehat j - 5\widehat k2i−j​+k,i−3j​−5k and ai^−3j^+k^a\widehat i - 3\widehat j + \widehat kai−3j​+k respectively are the vertices of a right angled triangle with C=π2C = {\pi \over 2}C=2π​ are :
  1. A
    222 and 111
  2. B
    −2-2−2 and −1-1−1
  3. C
    −2-2−2 and 111
  4. D
    222 and −1-1−1
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