JEE Mathematics · Medium

Three Dimensional Geometry: Mixed MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
MixedMediumQuestion 350013

Question

Lines with direction ratios (2, 3, 6) and (3, −6, 2) are:
  1. A
    Perpendicular
    Correct
  2. B
    Parallel
  3. C
    Same line
  4. D
    Skew

Correct answer

Perpendicular

Explanation

Dot product: 2(3) + 3(−6) + 6(2) = 6 − 18 + 12 = 0. Since dot product = 0, the direction ratios are perpendicular → lines are perpendicular.