Question

If A,B


and C


are non zero vectors and A.B


= 0

and B.B


= 0, find the value of A.C


.​

Answer 1

Answer:

\vec{a}\cdot \vec{b}=\vec{b}\cdot\vec{c}=0

All three vectors are coplanar.

a.b = 0

Thus, angle between a and b is 90

b.c = 0

Thus, angle between b and c is 90

a, b and c are coplanar

Therefore, Angle between a and c either 0 or 180

a.c = |a||c|cos(0) = 1*6*1 = 6

a.c = |a||c|cos(180) = 1*6*-1 = -6

|a.c|=|-6| = 6

Hence, The value of |a.c| = 6