1.

The points a-2b+3c, 2a+3b-4c, -7b+10 c are

Answer»

COLLINEAR
non-collinear
can't say
None of these

Solution :Let the given points be A, B and C and O be the origin.
Then, `OA=a-2b +3c`
`OB=2a+3b-4c`
and `OC=7b+10c`

Now, `AC+OC-OA`
`="("-7b+10c-(a-2b+3c)`
`=-a-5b+7c`
`AB=OB-OA`
`=(2a+3b-4c)-(a-2b+3c)`
`=a+5b-7c`
`:. AB =-AB =(-1) XX AC`=scalar `xx AC`
HENCE, the points A, B and C are collinear.


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