Question

How to find angle between two vectors if two vectors are given?

Answer 1

The formula to find angle between two vectors is

cosα = $\frac{a.b}{modea.modb}$

Here is a small example.....

Example - Find the angle between two vectors a = {3; 4} and b = {4; 3}.

Solution: calculate dot product of vectors:

a·b = 3 · 4 + 4 · 3 = 12 + 12 = 24.

Calculate vectors magnitude:

|a| = √32 + 42 = √9 + 16 = √25 = 5

|b| = √42 + 32 = √16 + 9 = √25 = 5

Calculate the angle between vectors:

Congrats!