If a·b=1, b·c=2, c·a=3...... | JEE Main 2022

JEE MAIN 2022

26-06-2022_S1

Question

If $\vec{a} \cdot \vec{b}=1, \vec{b} \cdot \vec{c}=2$ and $\vec{c} \cdot \vec{a}=3$, then the value of $[\vec{a} \times(\vec{b} \times \vec{c}) \vec{b} \times(\vec{c} \times \vec{a}) \vec{c} \times(\vec{b} \times \vec{a})]$ is:

Select the correct option:

$-6 \overline{\mathrm{a}} \cdot(\overline{\mathrm{b}} \times \overline{\mathrm{c}})$

$12 \overline{\mathrm{c}} \cdot(\overline{\mathrm{a}} \times \overline{\mathrm{b}})$

$-12 \vec{b} \cdot(\vec{c} \times \vec{a})$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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