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Find the position vector of a point R wh...

Find the position vector of a point `R` which divides the line joining two points `P` and `Q` whose position vectors are `hati+2 hatj-hatk` and `-hati+hatj+hatk` respectively, in the ratio `2: 1`
(i) internally (li) externally.

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Find the position vector of a point R which divides the line joining the points P and Q whose vectors are i+2j-k and -i+j+k in the ratio 2:1 Internally.

Find the position vector of a point R which divides the line joining the points P and Q whose vectors i+2j-k and -i+j+k in the ratio 2:1 externally.

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Show that the points with position vectors 2hati+6hatj+3hatk,hati+2hatj+7hatk and 3hati+10hatj-hatk are collinear.

The points with position vector 60 hati + 3 hatj, 40 hati - 8 hatj and a hati - 52 hatj are collinear if

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