Question

How can i find the angle between two vectors, given in the format '' i+j ''

Answer 1

You use the formula below...,

Angle theta = cos^-1 [scalar product of the two vectors ÷ multiplication of their moduli]

For example...the angle between

(2i + 3j) and (4i + 5j)

Angle theta = cos^-1 [( 2(4) + 3(5))÷((square root of (2^2 + 3^2))×(square root of (4^2 + 5^2))

Angle theta = cos^-1 [ 23 ÷ ((square root of(13)) × (square root of (41)]

Angle theta = 5°