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P(vec p) and Q(vec q) are the position v...

`P(vec p) and Q(vec q)` are the position vectors of two fixed points and `R(vec r)` is the position vectorvariable point. If R moves such that `(vec r-vec p)xx(vec r -vec q)=0` then the locus of R is

A

A plane containing the origin O and parallel to two non- collinear vector vector `OP and OQ`.

B

the surface of a sphere described on PQ as its diameter.

C

a line passing through the points P and Q.

D

a set of lines parallel to the line PQ.

Text Solution

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The correct Answer is:
(c)
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