Question

For 3 non zero vectors a, b, c prove that (a-b b-c c-a) = 0

Answer 1

The solution is given below.

Step-by-step explanation:

The (a-b b-c c-a) = 0. This can be happen when the values of a, b, and c are equal.

Suppose, the sign between the b and b, c and c is of addition (+) nad take the values f a, b and c be 3. So,

                     ⇒ (3 - 3 + 3 - 3 + 3 - 3 ) = 0

Suppose, take the sign of multiply.

                     ⇒  ( 3 - 3 x 3 - 3 x 3 - 3) = (9 -9 - 9)

                                                            = 0