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Chapter 10: Q.20 (page 848)

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

Short Answer

Expert verified

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

Step by step solution

01

Given Information

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

The result of the Cross-product of two vectors that is vector and perpendicular to both vectors.

Let the orthogonal vector be \(w\).

02

Find the orthogonal vector

The orthogonal vector is,

\(w=\begin{vmatrix}i&j&k\\1&0&0\\0&2&0\end{vmatrix}\)

\(w=2k\).

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