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AP EAMCET202317 May 2023Evening ShiftMathematicsThree Dimensional GeometryActual

If p =4 i - j + k is a point and q =9 i -2 j +6 k is a vector, then the perpendicular distance of origin from the plane passing through p and perpendicular to q is

Options

  1. A4
  2. B3 2
  3. C9
  4. D11

Correct answer

A. 4

Step-by-step solution

p =4 i - j - k ; q =9 i -2 j -6 k Equation of plane passing through p and perpendicular to q is q ( r - p )=0 q r - q p =0 array r (9 i -2 j +6 k ) (x i +y j +z k )-(9 i -2 j +6 k ) (9 i - j + k )=0 array 9 x-2 y+6 z-44=0 Now, the perpendicular distance from origin = | -44 81+4+36 |= | -44 121 |= 44 11 =4

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