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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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Most popular questions from this chapter

Suppose f and g are functions such that limx→3f(x)=5,limx→4f(x)=2andlimx→3g(x)=4

Given this information, calcuate the limits that follow, if possible. If it is not possible with the given information, explain why.

limx→3-2f(x)

Give an example of three vectors in ℝ3that form a right-handed triple. Explain how you can use the same three vectors to form a left-handed triple.

Find u+vandu-valso sketch u,v,u+v,u-v

u=4,0andv=0,3

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If u and v are vectors in ℝ3 such that u×v=v×u, what can we conclude about u and v?
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