Prove that `(vec(a) + vec(b)) xx (vec(a) - vec(b)) = 2 (vec(b) xx vec(a))`

Prove that (vec(a)-vec(b)) xx (vec(a) +vec(b))=2(vec(a) xx vec(b))

Show that (vec(A) - vec(B)) xx (vec(A) +vec(B)) = 2(vec(A) xx vec(B))

What is (vec(a)- vec(b)) xx (vec(a) + vec(b)) equal to ?

The vectors vec(a), vec(b), vec(c ) and vec(d) are such that vec(a) xx vec(b) = vec(c ) xx vec(d) and vec(a) xx vec(c )= vec(b) xx vec(d) . Which of the following is/are correct? 1. (vec(a)- vec(d)) xx (vec(b) - vec(c ))= vec(0) 2. (vec(a) xx vec(b))xx (vec(c ) xx vec(d))= vec(0) Select the correct answer using the codes given below

If (3 vec(a) - vec(b)) xx (vec(a) + 3 vec(b))= k vec(a) xx vec(b) , then what is the value of k?

What is (vec(a)-vec(b))xx(vec(a)+vec(b)) equal to?

If vec a + vec b + vec c = 0, prove that (vec a xx vec b) = (vec b xx vec c) = (vec c xx vec a)

The vectors vec(a), vec(b), vec(c) and vec(d) are such that vec(a)xx vec(b) = vec(c) xx d and vec(a) xx vec(c)= vec(b) xx vec(d) . Which of the following is/are correct? 1. (vec(a)-vec(d))xx (vec(b)-vec(c))=vec(0) 2. (vec(a)xx vec(b))xx (vec(c)xx vec(d))=vec(0) Select the correct answer using the code given below :

[(vec(a) xx vec(b)) xx (vec(b) xx vec(c)), (vec(b) xx vec(c)) xx (vec(c) xx vec(a)),(vec(c) xx vec(a)) xx (vec(a) xx vec(b))] is equal to

If vec(b) and vec(c) are two non-collinear vectors such that vec(a) || (vec(b) xx vec(c)) , then (vec(a) xx vec(b)).(vec(a) xx vec(c)) is equal to