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MHT CET202310 May 2023Morning ShiftMathematicsVector AlgebraActual

Scalar projection of the line segment joining the points A (-2,0,3), B (1,4,2) on the line whose direction ratios are 6,-2,3 is

Options

  1. A23 7
  2. B1
  3. C7
  4. D1 7

Correct answer

B. 1

Step-by-step solution

Let a be the vector joining A (-2,0,3) and B (1,4,2) . aligned & a =(1-(-2)) i +(4-0) j +(2-3) k & =3 i +4 j - k & and b =6 i -2 j +3 k & Projection = a b | b | = 3 6+4 (-2)-1 3 6^2+(-2)^2+3^2 & = 18-8-3 49 & = 7 7 & =1 & aligned

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