A) \[\frac{8}{5}\,\vec{a}-\frac{7}{5}\vec{b}\]
B) \[4\,\vec{a}+\vec{b}\]
C) \[\,\vec{a}+4\vec{b}\]
D) \[\frac{7}{5}\vec{b}-\frac{8}{5}\vec{a}\]
Correct Answer: B
Solution :
Given, \[A\,(\vec{a}-2\vec{b})\] and\[B\,\,(2\,\vec{a}-\vec{b})\]. The position vector of the point which divides AB in the ratio \[3:2\]externally is \[\frac{3(2\vec{a}-\vec{b})-(\vec{a}-2\vec{b})}{3-2}4\vec{a}+\vec{b}\]You need to login to perform this action.
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