Let triangle P Q R be a triangle | Maths | JEE Advance 2015

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JEE Advance 2015

Paper-1 2015

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Question

Let $\triangle P Q R$ be a triangle. Let $\vec{a}=\overrightarrow{Q R}, \vec{b}=\overrightarrow{R P}$ and $\vec{c}=\overrightarrow{P Q}$. If $|\vec{a}|=12,|\vec{b}|=4 \sqrt{3}$ and $\vec{b} \cdot \vec{c}=24$, then which of the following is(are) true?

Select ALL correct options:

A

$\frac{|\overrightarrow{\mathrm{c}}|^2}{2}-|\overrightarrow{\mathrm{a}}|=12$

B

$\frac{|\vec{c}|^2}{2}+|\vec{a}|=30$

C

$|\vec{a} \times \vec{b}+\vec{c} \times \vec{a}|=48 \sqrt{3}$

D

$\overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{b}}=-72$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

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