Question

Define the negative of a vector.

Answer 1

Hint: To solve this question, we will, first of all, define a vector and its deviation by an example and then we will define the negative of a vector and use the example stated above to define the negative of that vector as stated in the above definition to get the result.

Complete step-by-step answer:
To solve this question, we will first of all define the positive of a vector or a vector itself. A vector \[\overrightarrow{a}\] is given as

This is for example. This vector \[\overrightarrow{a}\] points to the right-hand side means this is a vector in the right-hand side direction. Finally, let us define a negative of a vector. A negative vector is a vector that points in the direction opposite to the reference positive direction. A negative vector is that has the opposite direction to the reference of a positive direction. Like scalars, vectors can also be added and subtracted. Like the example taken above of vector, \[\overrightarrow{a}\] the negative of the vector \[\overrightarrow{a}\] can be represented as \[-\overrightarrow{a}\] and will be drawn in the opposite direction to that of \[\overrightarrow{a}.\]

This is in the left direction.

Note: The magnitude of the vector never changes when the negative of the vector is taken. Also while calculating the negative of vector direction in accordance with the origin vector. It is not fixed in some specific direction in any case.