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If `barp=hati-2hatj+hatkand barq =hati+4hatj-2hatk` are position vector (P,V.) of points P and Q find the position internally in the ratio 2:1. |
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Answer» Let R `(vecr)` is the point which divides th line segment joining the points P and Q internally in the ratio `2:1.` `vecr=(2(hati+4hatj-2hatk)+1(hati-2hatj+hatk))/(2+1)` `vecr=(3hati+6hatj-3hatk)/(3)` `thereforevecr=hati+2hatj-hatk` and the coordinates of the point R are `(1,2-1).` |
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