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Q.

P, Q, R, S have position vectors p,q,r,s respectively such that (p-q)=2(s-r) then QS and PR

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a

Trisect each other externally

b

Bisect each other

c

Trisect each other

d

all the above

answer is B.

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Detailed Solution

P-q=2S-2r P+2r=q+2S P+2r3=q+2S3  QS & PR are trisect each other

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P, Q, R, S have position vectors p,q,r,s respectively such that (p-q)=2(s-r) then QS and PR