UP TGT Mathematics Vector Analysis Test Series - Part 1

The position vector of a point dividing the join of points with position vectors 'a' and 'b' internally in the ratio m :...

Type: MCQ • Marks: 1
The position vector of a point dividing the join of points with position vectors 'a' and 'b' internally in the ratio m : n is:
Options
A. (m b - n a) / (m - n)
B. (m a - n b) / (m + n)
C. (m a + n b) / (m + n)
D. (m b + n a) / (m + n)
Explanation
By section formula for internal division, the position vector r = (m b + n a) / (m + n).
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