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AP EAMCET201726 Apr 2017Morning ShiftMathematicsVector AlgebraActual

The triad (x, y, z) of real number such that (3 i - j +2 k )=(2 i +3 j - k ) x+ ( i -2 j +2 k ) y+(-2 i + j -2 k ) z is

Options

  1. A(–2, 5, 3)
  2. B(2, –5, 3)
  3. C(2, 5, 3)
  4. D(2, 5, –3)

Correct answer

C. (2, 5, 3)

Step-by-step solution

It is given that, array r (3 i - j +2 k )=(2 i +3 j - k ) x+( i -2 j +2 k ) y+(-2 i + j -2 k ) z = i (2 x+y-2 z)+ j (3 x-2 y+z)+ k (-x+2 y-2 z) array On comparing both the sides, we get aligned & 2 x+y-2 z=3 & 3 x-2 y+z=-1 & -x+2 y-2 z=2 aligned Now, by checking the options for coordinates ( x , y , z ) , option (c) satisfies them.

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