Write the position vector of point which divides the join of points with position vectors 3a-2b and 2a+3b in ratio 2:1. (a and b are vectors)

Asked by Vivek.d8765 | 29th Oct, 2019, 10:14: PM

Expert Answer:

Let C be the point that divides the join of points A and B with position vectors 3a-2b and 2a+3b respectively in ratio 2:1
T h e r e f o r e comma space p o s i t i o n space v e c t o r space o f space C space w i l l space b e
stack O C with rightwards arrow on top equals fraction numerator 2 left parenthesis 2 a plus 3 b right parenthesis plus 1 left parenthesis 3 a minus 2 b right parenthesis over denominator 2 plus 1 end fraction
equals fraction numerator 4 a plus 6 b plus 3 a minus 2 b over denominator 3 end fraction
equals fraction numerator 7 a plus 4 b over denominator 3 end fraction

Answered by Renu Varma | 30th Oct, 2019, 09:59: AM