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MHT CET20242 May 2024Evening ShiftMathematicsVector AlgebraActual

If C is a given non-zero scalar and A and B are given non-zero vectors such that A , is perpendicular to B . If vector X is such that A X = C and A X = B then X is given by

Options

  1. AC A + A B | ~A |^2
  2. BC A B | A |^2
  3. CC A - A B | A |^2
  4. DC A + B | ~A |^2

Correct answer

C. C A - A B | A |^2

Step-by-step solution

aligned & A X = B & A ( A X )= A B & ( A X ) A -( A A ) X = A B & CA -| A |^2 X = A B [ A X = C ] & X = CA - A B | A |^2 aligned

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