engineering recuitment BARC Stipendiary Trainee Category II 2023 Mock Test Mathematics Vector Algebra Properties of Vectors
The position vector of the point which divides the join of points \(\rm2\vec{a}−3\vec{b}\) and \(\rm\vec{a}+\vec{b}\) in the ratio 3 ∶ 1 is
1
\(\rm\frac{3 \vec{a}−2 \vec{b}}{2}\)
2
\(\rm\frac{7 \vec{a}−8 \vec{b}}{4}\)
3
\(\rm\frac{3 \vec{a}}{4}\)
4
\(\rm\frac{5 \vec{a}}{4}\)