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Question 260010
JEE Mathematics · Medium

Vectors: Section formula MCQ

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Section formulaMediumQuestion 260010

Question

If P divides AB in ratio m:n internally, the position vector of P is:
  1. A
    (mb⃗ + na⃗)/(m+n)
    Correct
  2. B
    (na⃗ + mb⃗)/(m+n)
  3. C
    (a⃗ + b⃗)/2
  4. D
    (mb⃗ − na⃗)/(m−n)

Correct answer

(mb⃗ + na⃗)/(m+n)

Explanation

Internal section formula: P = (m·b⃗ + n·a⃗)/(m+n) where a⃗ = position of A, b⃗ = position of B, and ratio AP:PB = m:n.

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