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AP EAMCET2005MathematicsThree Dimensional Geometry

The point collinear with (1,-2,-3) and (2,0,0) among the following is

Options

  1. A(0, 4, 6)
  2. B(0,-4,-5)
  3. C(0,-4,-6)
  4. D(0,-4,-6)

Correct answer

C. (0,-4,-6)

Step-by-step solution

Let a = i -2 j -3 k , b =2 i +0 j +0 k Now take option (c). Let c =0 i -4 j -6 k Now, a aligned & a ( b c )= | array ccc 1 & -2 & -3 2 & 0 & 0 0 & -4 & -6 array | & =1(0)+2(-12)-3(-8)=-24+24=0 aligned Option (c) is correct.

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