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Show that the points having position vectors a bar, b bar and 3a bar- 2b bar are collinear, where a bar , b bar and c bar are any vectors.

Show that the points having position vectors a bar, b bar and 3a bar- 2b bar are collinear, where a bar , b bar and c bar are any vectors.

Grade:12

1 Answers

Arun
25763 Points
3 years ago
Dear Aayushi
 
Let the points P, Q and R
then for collinearity
PQ = \lambda PR
Now check
b – a = \lambda (3a – 2b – a)
b – a =  – 2(b – a)
Hence these are collinear vectors

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