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Most Important Selected Qs for JEE AdvancedMathematicsThree Dimensional Geometry

A line passes through the points whose position vectors are i + j -2 k and i -3 j + k . The position vector of a point on it at a unit distance from the first point is/are

Options

  1. A1 5 (5 i + j -7 k )
  2. B1 5 (5 i +9 j -13 k )
  3. C1 5 (6 i + j -7 k )
  4. D1 5 (4 i +9 j -13 k )

Correct answer

B. 1 5 (5 i +9 j -13 k )

Step-by-step solution

OP = r = OA AB | AB | = i + j -2 k OB - OA | OB - OA | = i + j -2 k -4 j +3 k |-4 j +3 k | = i + j -2 k 1 5 (-4 j +3 k )= 1 5 (5 i + j -7 k ), 1 5 (5 i +9 j -13 k )

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