JEE Main 2026 (5 Apr, Shift 2) Maths Q16: Vector Algebra

Question

Let O be the origin, $\overrightarrow{OP}=\vec{a}$ and $\overrightarrow{OQ}=\vec{b}$. If R is the point on $\overrightarrow{OP}$ such that $\overrightarrow{OP}=5\,\overrightarrow{OR}$, and M is the point such that $\overrightarrow{OQ}=5\,\overrightarrow{RM}$, then $\overrightarrow{PM}$ is equal to :

Accepted Answer

Option 2: $\frac{1}{5}\left(\vec{b}-4\vec{a}\right)$

Answer

$\frac{1}{5}\left(\vec{a}-4\vec{b}\right)$

Answer

$\frac{1}{5}\left(\vec{b}-4\vec{a}\right)$

Answer

$\frac{1}{5}\left(-\vec{a}+4\vec{b}\right)$

Answer

$\frac{1}{5}\left(-\vec{b}+4\vec{a}\right)$

JEE Main 5 April 2026, Shift 2, Maths Q16