Q77 / 160 · AP EAMCET 2005 · Mathematics

I. Two non-zero, non-collinear vectors are linearly independent. II. Any three coplanar vectors are linearly dependent. Which of the above statements is/are true?

  • A
    Only I
  • B
    Only II
  • Correct answer
    C
    Both I and II
  • D
    Neither I nor II

Solution

I : It is true that non-zero, non-collinear vectors are linearly independent. II : It is also true that any three coplanar vectors are linearly dependent. $\therefore$ Both I and II are true.

Hence, the correct answer is option: 'C'.

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