JEE Mathematics · Medium

Vectors: Area MCQ

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

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AreaMediumQuestion 260009

Question

The area of parallelogram with sides a⃗ and b⃗ is:
  1. A
    |a⃗ × b⃗|
    Correct
  2. B
    a⃗ · b⃗
  3. C
    |a⃗||b⃗|
  4. D
    |a⃗ + b⃗|

Correct answer

|a⃗ × b⃗|

Explanation

The area of a parallelogram with sides a⃗ and b⃗ is |a⃗ × b⃗| = |a⃗||b⃗|sin θ, where θ is the angle between them.