Home
Class 12
MATHS
Find the position vector of a point R wh...

Find the position vector of a point R which divides the line joing two points P and Q whose position vectors are `hati+2hatj-hatkand-hati+hatj+hatk` repectively , in the ratio `2:1`
(i) nternally
(ii) externally

Text Solution

Verified by Experts

The correct Answer is:
(i) `-(1)/(3)hati+(4)/(3)hatj+(1)/(3)hatk`
(ii) `-3hati+3hatk`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the positioon vector of a point R which divides the line joining two points P and Q whose position vectors are hati + 2hatj-hatk and -hati + hatj +hatk respectively in the ratio 2 : 1 Internally

Find the position vectors 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 ration 2:1 . (i) Internally, (ii) Externally.

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are (2veca+vecb)and(veca-3vecb) externally in the ratio 1:2 Also , show that P is the mid point of the line segment RQ.

The position vectors of A and B are 2hati-9hatj-4hatk and 6hati-3hatj+8hatk respectively, then the magnitude of AB is

Find the angle between the vectors hati-2hatj+3hatkand3hati-2hatj+hatk

If the position vectors of P and Q are (hati+3hatj-7hatk) and (5hati-2hatj+4hatk) , then |PQ| is

Find the sine of the angle between the vectors hati+2hatj+2hatkand3hati+2hatj+6hatk .

If three points A,B and C are collinear, whose position vectors are hati-2hatj-8hatk,5hati-2hatk and 11hati+3hatj+7hatk respectively, then the ratio in which B divides AC is