Position vectors of P and Q are p̄ and q̄. The point R divides PQ internally in ratio m:n. Position vector of R:
A(p̄ + q̄)/2
B(mq̄ + np̄)/(m+n)
C(mp̄ + nq̄)/(m+n)
Dp̄ - q̄
Answer & Solution
Correct answer: B. (mq̄ + np̄)/(m+n)
Section formula (internal division in ratio m:n from P toward Q): r̄ = (mq̄ + np̄)/(m+n). Note ORDER: the larger ratio multiplier goes with the second point.
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