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Chapter 10: Q.32 (page 849)

Find a vector orthogonal to both \(u=<2,4,-1>\) and \(v=<0,-3,2>\).

Short Answer

Expert verified

The orthogonal vector is \((5i-4j-6k)\).

Step by step solution

01

Given Information

The given vectors are \(u=<2,4,-1>\) and \(v=<0,-3,2>\).

Let the orthogonal vector be \(b\).

\(b=u\times v\).

02

Find the orthogonal vector

The vector is,

\(\begin{align*}\vec{b}&= \begin{vmatrix}i&j&k\\2&4&-1\\0&-3&2\end{vmatrix}\\&=5i-4j-6k\end{align*}\)

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