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Chapter 10: Q.17 (page 848)

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

Short Answer

Expert verified

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

Step by step solution

01

Given Information

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

02

Angle between two vector

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

So,

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

\(u\cdot v=0\)

\(|u|=1\)

\(v=2\)

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

\(\theta=90^\circ\)

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