Question

Which is true about a negative of a vector?

• A. A negative vector is a vector which points in the direction opposite to the reference positive direction.
• B. A vector is negative when it is multiplied by a negative coefficient.
• C. A vector is negative if it is of the different magnitude of the given vector but acts in a direction opposite to that of the given vector.
• D. None of the above

Answer 1

Answer: (A)

A negative vector is a vector which points in the direction opposite to the reference positive direction.

according to definition of equal vector

1)the direction of any vector is opposite then it said to be negative vector

$\overrightarrow{OA}=\hat{i}+\hat{j}$

$\overrightarrow{OB}=-\hat{i}-\hat{j}$

$\overrightarrow{OA}=-\left(\overrightarrow{OB}\right)$

So the vector OB is negative vector of OA