Q12 of 177 Page 24

If denote the position vectors of points A and B respectively and C is a point on AB such that 3AC = 2AB, then write the position vector of C.

Given that the position vector points A, B are .

Let us assume that C lies between A and B.


Then AB=AC+BC


Given that 3AC=2AB=2(AC+BC)


⇒ AC=2BC


Therefore AC: BC=1:2


Also, since the ratio is positive, our assumption was correct.


Using section formula,


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