Mechanics

# 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:

Exellent! Sir

thank you.