Find angle between two vectors

The angle between two vectors is referred to as a single point, known as the shortest angle by which we have to move around one of the two given vectors towards the position of co-directional with another vector. It is found by using the definition of the dot product of two vectors.

How to find Angle b/w two vectors?

We can find the angle between vectors by the following steps.

• Identify vectors
• Write the formula of Cosine
• Find the dot products of given vectors
• Find the magnitude of given vectors individually
• Put the values of magnitude and dot product in the formula of Cosine

Angle between two vectors formula

Now!
we solve some examples to find the angle b/w 2  vectors.

Find the angle between the vectors a= 2 i –j + k  and b= –i + j
Solution:
a . b = ( 2i -j + k) . (-i + j + 0 k)
= (2)(-1) + (-1)(1) + (1)(0)
= -3

 

 

 

 

θ = 5 π/6
Let’s see video now: