JEE Main 2021 (4 Aug, Shift 1) Maths Q76: Vector Algebra

Question

If $\vec{a}=\hat{i}+\hat{j}+\hat{k}$, $\vec{b}=4\hat{i}-2\hat{j}+3\hat{k}$ and $\vec{c}=\hat{i}-2\hat{j}+\hat{k}$ are three vectors, then a vector
of magnitude 6 units, which is parallel to the vector $2\vec{a}-\vec{b}+3\vec{c}$, is

Accepted Answer

Option 3: $2\hat{i}-4\hat{j}+4\hat{k}$

Answer

$2\hat{i}+4\hat{j}+4\hat{k}$

Answer

$4\hat{i}+2\hat{j}-4\hat{k}$

Answer

$2\hat{i}-4\hat{j}+4\hat{k}$

Answer

$4\hat{i}+4\hat{j}-2\hat{k}$

JEE Main 4 August 2021, Shift 1, Maths Q76