Question

A= 2i+3j B= -i+2j Find the angle between A and B vectors

Answer 1

Given :-

A = 2î + 3j

B = -î + 2j

To find the angle between A and B. We will simply use the formula.

A • B = AB CosØ

CosØ = A • B/|A||B|

CosØ = (2î + 3j)•(-î + 2j)/√[(2)²+(3)²]×√[(-1)²+(2)²]

CosØ = -2 + 6/√13 × √5

CosØ = 4/√65

Ø = Cos-¹(4/√65)

Hence,

The angle between A and B = Ø = Cos-¹(4/√65)