Question

If AxB = C ( vector) then which of the following statements is wrong?
a. C perpendicular to A
b. C perpendicular to B
c. C perpendicular to ( A+B)
d. C perpendicular to (AxB)

Answer 1

option d. C is perpendicular to (AxB) ... is wrong statement.. so.. this is the right answer ..
bcoz ...AxB gives a Victor which is perpendicular to both the vectors ( A vector and B vector)
C is parallel to AxB ...

Answer 2

Answer:

C perpendicular to $A\times B$, this statment is wrong.

d is correct.

Explanation:

Given that,

$\vec{A}\times\vec{B}= \vec{C}$

Cross product :

Given two vectors A and B lies in same plane.

So, The resultant C also lies in same plane.

The cross product of the A and B is $A\times B$ that is perpendicular to A and B.

So, C is perpendicular to the resultant vector because the resultant vectors lies in same plane.

Therefore, a,b and c are correct statements.

Hence, C perpendicular to $A\times B$, this statement is wrong.