Let a unit vector make angles with the positive directions of the co-ordinate axes respectively, where . If is perpendicular to the plane through points and , then which one of the following is true?

and Explanation: Solution 1. Plane ke vectors: 2. Normal vector ( ): 3. Unit vector (Direction Cosines): 4. ki condition check karna: Hume diya hai . Isliye hum negative ( ) sign lenge: 5. Result: Sahi Option: (3)

How do I solve JEE 2023 Mathematics questions?

Practice JEE 2023 Mathematics previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

What is the difficulty level of JEE Mathematics questions?

JEE Mathematics questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Are JEE previous year papers available for free?

Yes. Mathem Solvex provides free access to JEE previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

Let a unit vector $\widehat{OP}$ make angles $\alpha, \beta, \gamma$ with the positive directions of the co-ordinate axes $OX, OY, OZ$ respectively, where $\beta \in \left(0, \frac{\pi}{2}\right)$ . If $\widehat{OP}$ is perpendicular to the plane through points $(1,2,3), (2,3,4)$ and $(1,5,7)$ , then which one of the following is true?

JEE 2023 — Mathematics PYQ

Choose the correct answer:

Explanation

Solution

Explanation

Solution

Explore More