Question

If none of vector a , b , c are zero and if vector a × vector b =0 and vector b × vector c =0 then the value of vector a × vector c

Answer 1

Answer:

A⃗ ,B⃗  and C⃗  are three vectors such that A⃗ ⋅B⃗ =0 and A⃗ ⋅C⃗ =0

A. B = 0 implies A is perpendicular to B

A. C = 0 implies A is perpendicular to C

⇒A⃗ ⊥B⃗  and A⃗ ⊥C⃗ ,

(assuming that we are not dealing with zero vectors.)

⇒A⃗

is normal to the plane on which B⃗  and C⃗  lie.

So, A is perpendicular to both B and C.

When two vectors are perpendicular to each other their dot product is zero.

Hence your answer is zero.