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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 `hat(i)+2hat(j)-hat(k)` and `-hat(i)+hat(j)+hat(k)` , respectively, in the ratio `2:1` .
(i) Internally
(ii) Externally

Text Solution

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The correct Answer is:
(i) `-(1)/(3)hat(i)+(4)/(3)hat(j)+(1)/(3)hat(k)`
(ii) `-3hat(i)+3hat(k)`
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