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Let the position vectors of the points P...

Let the position vectors of the points `P ,Q, R and S` be `veca=hati +2hatj-5hatk , vecb=3hati+6hatj+3hatk, vecc = 17/5 hati +16/5 hatj +7hatk and vecd=2hati+hatj+hatk`, respectively. Then which of the following statements is true ?

A

The points `P ,Q , R and S` are "NOT" coplanar

B

`(vecb+2 vecd)/3` is the position vector of a point which divides PR internally in the ratio `5:4`

C

`(vecb+2 vecd)/3` is the position vector of a point which divides PR externally in the ratio `5:4`

D

The square of the magnitude of the vector `vec b xx vecd` is 95

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