Question

5
a,b,c are pairwise non zero and non
collinear vectors. If a+b is collinear with
Ĉ and b+c is collinear with a then find
the vector a+b+c.​

Answer 1

Step-by-step explanation:

let let a + 2B = XC and b +3C= y a

then a + 2B + 6c =(x+6) c

and also a + 2B+6c = (1 + 2y)a

so (X + 6)c =(1+2y)a

since a b and c are non zero and non culinear

we have X + 6 = 0

and 1 + 2 y = 0 therefore x = -6 and y = - 1/2

in either case we have a + 2 b + 6 c e = 0