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MathsJEE Main 6 Apr 2026, Shift 2·Q15·MCQ·Easy–moderate

Vectors · Area of triangle by cross product

Let a⃗=2i^+3j^+3k^\vec a = 2\hat i + 3\hat j + 3\hat k and b⃗=6i^+3j^+3k^\vec b = 6\hat i + 3\hat j + 3\hat k. Then the square of the area of the triangle with adjacent sides determined by the vectors (2a⃗+3b⃗)\left(2\vec a + 3\vec b\right) and (a⃗−b⃗)\left(\vec a - \vec b\right) is:
  1. (1)450
  2. (2)900
  3. (3)1800
  4. (4)2400

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