Question

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

Short answer

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

Step-by-step solution

Given Information

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

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

Find the unit orthogonal vector

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

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

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