Question

Which of the given 2 vectors are same?

• A. (A) & (C)
• B. (C) & (B)
• C. both option (A) & (B)
• D. None of these

Answer 1

The correct option is B

(C) & (B)

For 2 vectors to be equal their magnitude and direction has to be same.

Option A: says vector A and E surely they are pointed in the same direction but if we see magnitude wise the vector A has a magnitude of 2 units or it is only 2 boxes long, while vector E has magnitude of 3 units, so vector A & E can't be same.

Option B: says vector C & B, they are surely pointing in the same direction are their magnitudes also same.

Vector C has a unit of $2\sqrt{2}$ units and so does vector B.

So option B is correct.

Here we conclude that we can translate a vector anywhere on the 3D space, it wouldn't change it as long as I keep the magnitude of the vector same and keep it pointing in the same direction.