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JEE Main2003MathematicsVector AlgebraActual

Consider points A, B, C and D with position vectors 7 i -4 j +7 k , i -6 j +10 k ,- i -3 j +4 k and 5 i - j +5 k respectively. Then ABCD is a

Options

  1. Aparallelogram but not a rhombus
  2. Bsquare
  3. Crhombus
  4. Drectangle

Correct answer

C. rhombus

Step-by-step solution

No option satisfied wrong. A =(7,-4,7), B =(1,-6,10), C =(-1,-3,4) and D =(5,-1,5)A B= (7-1)^2+(-4+6)^2+(7-10)^2 = 36+4+9 =7 Similarly BC =7, CD = 41 , DA = 17

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