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Chapter 10: Q.21 (page 848)

Find a unit vector orthogonal to both \(u=i\) and \(v=2j\).

Short Answer

Expert verified

The unit vector is\(\hat{w}=k\).

Step by step solution

01

Given Information

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

The orthogonal vector is \(w=2k\).

02

Find the unit orthogonal vector

\(\hat{w}=\frac{\vec{w}}{|w|}\).

\(\hat{w}=\frac{2k}{2}\)

\(\hat{w}=k\).

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