Let and be three non zero vectors such that and . If be a vector such that , then is equa l to:

Explanation: Step 1: Vector Triple Product property ka use karein Hume diya gaya hai: Vector triple product ke formula ka use karne par: Dono taraf coefficients compare karne par: Step 2: Scalar Triple Product aur Dot Product property Hume nikalna hai: Vector identity ka use karne par: Step 3: Di gayi values put karein (humne Step 1 mein nikala) (Sawal mein diya hai aur humne Step 1 mein nikala) (Sawal mein diya hai) Ab in values ko formula mein rakhein: Final Answer: Iska sahi jawab (2) hai.

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JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

Let $\vec{a}, \vec{b}$ and $\vec{c}$ be three non zero vectors such that $\vec{b} \cdot \vec{c} = 0$ and $\vec{a} \times (\vec{b} \times \vec{c}) = \frac{\vec{b} - \vec{c}}{2}$ . If $\vec{d}$ be a vector such that $\vec{b} \cdot \vec{d} = \vec{a} \cdot \vec{b}$ , then $(\vec{a} \times \vec{b}) \cdot (\vec{c} \times \vec{d})$ is equal to:

JEE 2023 — Mathematics PYQ

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