The position vector of a point, which divides the join of points with position vectors \(\vec{a}-2 \vec{b}\) and \(2 \vec{a}+\vec{b}\) externally in the ratio 2 : 1 is.
A. \(3 \vec{a}-4 \vec{b}\)
B. \(3 \vec{a}+4 \vec{b}\)
C. \(4 \vec{a}+3 \vec{b}\)
D. \(4 \vec{a}-3 \vec{b}\)
Answer:B
The position vector of a point, which divides the join of points with position vectors \(\vec{a}-2 \vec{b}\) and \(2 \vec{a}+\vec{b}\) externally in the ratio 2 : 1 is.
A. \(3 \vec{a}-4 \vec{b}\) B. \(3 \vec{a}+4 \vec{b}\) C. \(4 \vec{a}+3 \vec{b}\) D. \(4 \vec{a}-3 \vec{b}\)