Answers

1. The Linear relationship between a, b, and c is –  a x (b + c).

   We have three non – zero vectors a, b and c (b ≠ c) and –

   a x b = c x a.

   We have to find the linear relationship between a, b and c.

   If a x b = c x a then is it true that a x b = – (a x c) ?

   Yes, if a x b = c x a then a x b = – (a x c) .

   We have the following vector relation with us –

   a x b = c x a

   It can be written as –

   a x b = – (a x c)

   (a x b) + (a x c) = 0

   Using the following vector property : A x (B + C) = A x B + A x C, we get –

   a x (b + c) = 0

   Hence, the Linear relationship between a, b, and c is –

   a x (b + c).

   To solve more questions on Vector Cross Product, visit the link below-

   https://brainly.com/question/4887005

   #SPJ1

   Reply