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Mathematics Question on Vector Algebra

The co-ordinates of the points P and Q are (2, 6, 4) and (8, -3, 1) respectively. If the point R lies on the line segment PQ such that 2∣PR→∣=∣RQ→∣2|\overrightarrow{PR}|=|\overrightarrow{RQ}|, then the co-ordinates of R are

A

(4,-3,3)

B

(4,3,-3)

C

(2,-3,1)

D

(4,3,3)

E

(2,3,3)

Answer

(4,3,3)

Explanation

Solution

The correct option is (D): (4,3,3)