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
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
a . b = ( 2i -j + k) . (-i + j + 0 k)
= (2)(-1) + (-1)(1) + (1)(0)
θ = 5 π/6
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