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AP EAMCET2011MathematicsVector Algebra

Let v =2 i + j - k and w = i +3 k . If u is any unit vector, then the m 59 aximum value of the scalar triple product [ u v w ] is

Options

  1. A1
  2. B10 + 6
  3. C59
  4. D60

Correct answer

C. 59

Step-by-step solution

aligned & Since, [ u v w ]= u ( v w ) & [ u v w ] | u | v w | & [ u v w ] | v w | & Now, v w = | array rrr i & j & k 2 & 1 & -1 1 & 0 & 3 array |=3 i -7 j - k & v w = 9+49+1 = 59 aligned [ u v w ] 59

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