Question

Which of the following is/are true?
1) Equal vectors have same direction but not necessarily the same magnitude.
2) Equal vectors have same magnitude and same direction.
3) Equal vectors cannot start from different points.

• A. 1, 2 and 3 are true
• B. Only 2 is true
• C. None of them is true
• D. 2 and 3 are true

Answer 1

The correct option is B Only 2 is true

For two vectors to be equal their direction and magnitude should be the same. If any one of them is not same, they can't be equal vectors.
Also for two vectors to have same magnitude and same direction, they need not start from the same point. See the following two vectors.

$\overrightarrow{AB}=\overrightarrow{CD}$ as they have same magnitude and same direction but they start from different points, $\overrightarrow{A}and\overrightarrow{C}$ respectively.