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MathsJEE Main 8 Apr 2026, Shift 2·Q14·MCQ·Moderate

Vectors · Vector cross product equations

Let a⃗=4i^−j^+3k^\vec a = 4\hat i - \hat j + 3\hat k, b⃗=10i^+2j^−k^\vec b = 10\hat i + 2\hat j - \hat k and a vector c⃗\vec c be such that 2(a⃗×b⃗)+3(b⃗×c⃗)=0⃗2(\vec a\times\vec b) + 3(\vec b\times\vec c) = \vec 0. If a⃗⋅c⃗=15\vec a\cdot\vec c = 15, then c⃗⋅(i^+j^−3k^)\vec c\cdot(\hat i + \hat j - 3\hat k) is equal to:
  1. (1)−6-6
  2. (2)−5-5
  3. (3)−4-4
  4. (4)−3-3

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