Question

Example 11 Consider two points P and Q with position vectors OP = 3a - 25 and
2
op=+. Find the position vector of a point R which divides the line segment
P and Q in the ratio 2:1, (i) internally, and (ii) externally.
joining
Im getting the answer for i) as 7a-3b/3.plz tell if its correct or not

Answer 1

Answer:

op~=3a~-2b~

oq~=a~+b~

poison vector of R=20q~+10p~ divided by 2+1

OR~ 2(a~+b~) +1(3a~-2b~) divided by 2+1

2a~+2a~+3a~-2b~ divided by 3

=5a~divided by 3

Thus position vector of R dividing p and q internally is 5a~divided by 3.

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