Question

The angle between A = `hati` + `hatj` and B = `hati` − `hatj` is ______.

विकल्प

• 45°

• 90°

• – 45°

• 180°

Answer 1

The angle between A = `hati` + `hatj` and B = `hati` − `hatj` is 90°.

Explanation:

Since we know that, the angle between two vectors is given by

⇒ `cos theta = (vecA * vecB)/(|A||B|)`

Hence, ⇒ `cos theta = (1 - 1)/(sqrt(2) * sqrt(2)) = 0/2` = 0

i.e. ⇒ θ = 90°.