Question

choose the correct statements.
a)If AxB.C=A.BxC=0,A,B and C are coplanar
b)Any vector can be split into more than two components
c)An arrow signifies a vector
d)pseudo vector has no direction

Answer 1

a) Yes if $\mathit{A}\times \mathit{B}.\mathit{C}=\mathit{A}.\mathit{B}\times \mathit{C}$ then they are coplanar. Because cross product of vector A and B will be perpendicular to the vector. So C must have to be in the same plane to have dot product to be zero. Provided that none of the vector is a null vector.

b) In three dimension any vector can be split in three component.

c) An arrow with proper amplitude and direction signifies a vector.

d) Pseudo vector has a direction.