For any two non zero vectors $\vec{a}$ and $\vec{b}$

A. If $|\vec{a}|=|\vec{b}|$ then $\vec{a}=\vec{b}$

B. If $\vec{a}=\vec{b}$ then $|\vec{a}|=|\vec{b}|$

C. $\vec{a}.\vec{b}=\vec{b}.\vec{a}$

D. $\vec{a}×\vec{b}=\vec{b}×\vec{a}$

E.  Area of the parallelogram $=\frac{1}{2}|\vec{a}×\vec{b}|$, where $\vec{a}$ and $\vec{b}$ represent the diagonals of the parallelogram.

Choose the correct answer from the options given below :

B, C, E only

The correct answer is Option (1) → B, C, E only

(A) false as $\vec a= \vec b$ only if $|\vec a|=|\vec b|$ and $\hat a = \hat b$

(B) true

(C) true (dot product is commutative)

(D) false (cross product is not commutative)

(E) true 

⇒ B, C, E only true