Question The non-zero vector a, b and c are such that a x b=c x a. given that b ≠ -c, find a linear relationship between a, b and c

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

Linearrelationship betweena,b,cis –a x (b + c).non – zerovectors a, b and c (b ≠ c) and –linearrelationship 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) .a x b = c x a–(a x c)vectorproperty :A x (B + C)= A x B + A x C, we get –a x (b + c) = 0Linearrelationship betweena,b,cis –Vector Cross Product, visit the link below-