Question

Compute the angle between \(u=i\) and \(v=2j\).

Short answer

The angle is \(90^\circ\).

Step-by-step solution

Given Information

The two vectors are \(u=i\) and \(v=2j\).

Angle between two vector

\(\cos\theta=\frac{u\cdot v}{|u||v|}\)

So,

\(u\cdot v=(i+0j)\cdot(0i+2j)\)

\(u\cdot v=0\)

\(|u|=1\)

\(v=2\)

\(\therefore \theta=\cos^{-1}\frac{0}{2}\)

\(\theta=90^\circ\)