Question

What is an orthogonal vector?

Answer 1

Hint: In this question, we need to define the concept of an orthogonal vector and its significance. The word “orthogonal” means “perpendicular”. In simple words, it means right angle.
Also, the vector is a quantity that has both magnitude and direction.


Complete step by step answer:
 Consider two vectors \[m\] and \[n\] are any two vectors.


Image: Orthogonal Vector

The vectors \[m\]and \[n\] are said to be orthogonal if and only if the angle between them is \[{90^o}\]. That means they are perpendicular to each other. Also, it is denoted by \[m \bot n\].
Therefore, the two vectors are orthogonal means they are perpendicular.

Note: The vectors \[m\] and \[n\] are said to be orthogonal if and only if the angle between them is \[{90^o}\]. That means they are perpendicular to each other. Also, it is denoted by \[m \bot n\].

Therefore, the two vectors are orthogonal means they are perpendicular.

Additional Information: Vectors are geometrical structures with magnitude and direction. A vector can be visualised as a line with an arrow pointing toward its direction and its length showing the vector's magnitude. As a result, vectors are depicted by arrows and have starting and end points. If we look at the characteristics of orthogonal vectors, we can see that the zero vectors, which are effectively zero, are virtually orthogonal to each and every vector.