[Maths Class Notes] on Angle Between Two Vector Products Pdf for Exam

Before we get to know the angle between two vectors, let us first understand what a vector is. A vector quantity has a magnitude and a direction as well, unlike a scalar quantity which only has a magnitude. It is denoted by an arrow (→). The length of the arrow represents its magnitude and the direction of the arrow represents the direction of the vector. Suppose, ‘a’ is a vector quantity, then it will be written as [overrightarrow{a}]. [|overrightarrow{a}|] denotes the magnitude of a vector. Acceleration, velocity, displacement, force, and momentum are all examples of vector quantity as they have both magnitude and direction.

Angle Between Two Vectors

Two vectors are said to be equal when their magnitude and direction is the same. However, when the direction of the two vectors is unequal, they will form an angle between them. The angle between the two vectors is denoted by θ.

Angle Between Two Vectors Using Dot Product