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Question

Mathematics Question on Vector Algebra

For any two non zero vectors a\vec{a} and b\vec{b}
A. If a=b|\vec{a}| = |\vec{b}|then a=b\vec{a} = \vec{b}
B. If a=b\vec{a} = \vec{b} then a=b|\vec{a}| = |\vec{b}|
C. a.b=b.a\vec{a} . \vec{b}=\vec{b} . \vec{a}
D. a×b=b×a\vec{a} \times \vec{b}=\vec{b} \times \vec{a}
E. area of the parallelogram = 12a×b\frac{1}{2} |\vec{a} \times \vec{b}|. where a\vec{a} and b\vec{b} represent resent the diagonals of the parallelogram.
Choose the correct answer from the options given below:

A

B, C, E only

B

A, B, C only

C

B, C, D only

D

C, D only

Answer

B, C, E only

Explanation

Solution

The correct option is (A): B, C, E only