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Vector Algebra question

2010 · Shift 0 · Q49
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  5. /2010 · Shift 0 · Q49

Vector Algebra question

2010 · Shift 0 · Q49

JEE MainMathematicsVector AlgebraMCQ+4 / −1
If the vectors a→=i^−j^+2k^,     b→=2i^+4j^+k^   \overrightarrow a = \widehat i - \widehat j + 2\widehat k,\,\,\,\,\,\overrightarrow b = 2\widehat i + 4\widehat j + \widehat k\,\,\,a=i−j​+2k,b=2i+4j​+k and  c→=λi^+j^+μk^\,\overrightarrow c = \lambda \widehat i + \widehat j + \mu \widehat kc=λi+j​+μk are mutually orthogonal, then  (λ,μ)\,\left( {\lambda ,\mu } \right)(λ,μ) is equal to :
  1. A
    (2,−3)(2, -3)(2,−3)
  2. B
    (−2,3)(-2, 3)(−2,3)
  3. C
    (3,−2)(3, -2)(3,−2)
  4. D
    (−3,2)(-3, 2)(−3,2)
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