🛠️ JEE➗ Maths

Let \(O\) be the origin, \(\overrightarrow{O P}=\vec{a}\) and \(\overrightarrow{O Q}=\vec{b}\). If \(R\) is the point on…

Q1

Let \(O\) be the origin, \(\overrightarrow{O P}=\vec{a}\) and \(\overrightarrow{O Q}=\vec{b}\). If \(R\) is the point on \(\overrightarrow{O P}\) such that \(\overrightarrow{O P}=5 \overrightarrow{O R}\), and \(M\) is the point such that \(\overrightarrow{O Q}=5 \overrightarrow{R M}\), then \(\overrightarrow{P M}\) is equal to:

[JEE Main 2026, 5 Apr (Shift 2)]

a

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

b

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

c

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

d

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

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