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Manipal MET2019MathematicsThree Dimensional Geometry

The projection of a line on a co-ordinate axes are 2,3,6 . Then the length of the line is

Options

  1. A7
  2. B5
  3. C1
  4. D11

Correct answer

A. 7

Step-by-step solution

Let a =a₁ i +a₂ j +a₃ k Here, (a₁ i ) i =a₁=2 ; (a₂ j ) j =a₂=3 and (a₃ k ) k =a₃=6 a =2 i +3 j +6 k Now, required length aligned & =|a|= 2^2+3^2+6^2 & = 4+9+36 = 49 =7 aligned

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