JEE Mathematics · Hard

Vectors: Mixed MCQ

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

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MixedHardQuestion 260018

Question

The vector perpendicular to both î + ĵ and ĵ + k̂ is:
  1. A
    î − ĵ + k̂
    Correct
  2. B
    î + ĵ + k̂
  3. C
    î − k̂
  4. D
    2î − ĵ − k̂

Correct answer

î − ĵ + k̂

Explanation

Cross product (î+ĵ) × (ĵ+k̂) = |î ĵ k̂; 1 1 0; 0 1 1| = î(1−0) − ĵ(1−0) + k̂(1−0) = î − ĵ + k̂.