1.

If a and b are the position vectors of A and B respectively and C is a point on AB producted such that AC = 3 AB, then the position vector of C is

Answer»

3 a -2b
3b -2a
3b +2a
2a - 3b

Solution :Let the POSITION vector for C be c.
Clearly , B divides AC internally in the ratio 1:2
` thereforeb=(2a +1.c ) /(2+1)IMPLIES c=3b-2a`


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