the position vectors a,b,c of three given points satisfy the relation 4a-9b+5c. prove that three points are collinear.
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The equation should have be given as :4a-9b-5c
- For 3 vectors to be collinear, a vector should divide the other two vectors into some ratio.
⇒4a-9b+5c=0
⇒4a=9b-5c
⇒a=(9b-5c)/4
The above equality indicates a divides b and c externally in ratio 9:5.
Hence the vector points are collinear.
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