Let a = i + j + 2k and b = −i + 2j + 3k... | Vectors

JEE MAIN 2021

27-07-21 S1

Question

Let $\vec{a}=\hat{i}+\hat{j}+2 \hat{k}$ and $\vec{b}=-\hat{i}+2 \hat{j}+3 \hat{k}$. Then the vector product $(\vec{a}+\vec{b}) \times((\vec{a} \times((\vec{a}-\vec{b}) \times \vec{b})) \times \vec{b})$ is equal to.

Select the correct option:

$5(34 \hat{i}-5 \hat{j}+3 \hat{k})$

$7(34 \hat{i}-5 \hat{j}+3 \hat{k})$

$7(30 \hat{\mathrm{i}}-5 \hat{\mathrm{j}}+7 \hat{\mathrm{k}})$

$5(30 \hat{i}-5 \hat{j}+7 \hat{k})$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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