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MHT CET202210 Aug 2022Evening ShiftMathematicsThree Dimensional GeometryActual

Let n be a vector of magnitude 3 3 such that it makes equal acute angles with the co-ordinate axes. Then the vactor equation of a plane passing through (1,-1,2) and normal to n is

Options

  1. Ar ( i + j + k )=3
  2. Br (3 i +3 j +3 k )=12
  3. Cr (3 i +3 j +3 k )=1
  4. Dr (3 i +3 j +3 k )=6

Correct answer

D. r (3 i +3 j +3 k )=6

Step-by-step solution

aligned & r n = a n & r ( i + j + k )=( i - j +2 k ) ( i + j + k ) & r ( i + j + k )=2 & r (3 i +3 j +3 k )=6 aligned

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