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  • Find the position vector of the point which divides the join of points with position vectors <img alt="$\overrightarrow{\mathrm{a}}+3 \overrightarrow{\mathrm{b}}$" src="https://entrancecorner.codecogs.com/gif.latex?%24%5Coverrightarrow%7B%5Cmathrm%7Ba%

Find the position vector of the point which divides the join of points with position vectors \overrightarrow{\mathrm{a}}+3 \overrightarrow{\mathrm{b}} and \overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{b}} internally in the ratio 1: 3

 

 

 

 
 
 
 
 

Answers (1)

Required position vector is \frac{1(\vec{a}-\vec{b})+3(\vec{a}+3 \vec{b})}{1+3}=\vec{a}+2\vec{b}.

Posted by

Ravindra Pindel

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