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Chapter 10: Q.16 (page 848)

Compute \(u\times v\) if \(u=i\) and \(v=2j\).

Short Answer

Expert verified

The cross product is \(2k\).

Step by step solution

01

Given Information

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

02

Find cross product

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

\(=0i+0j+2k\)

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Most popular questions from this chapter

In Exercises 22鈥�29 compute the indicated quantities when u=(2,1,鈭�3),v=(4,0,1),andw=(鈭�2,6,5)

Find the area of the parallelogram determined by the vectors u and v.

What is Lagrange鈥檚 identity? How is it used to understand the geometry of the cross product?

Find the norm of the vector.v=0,0,6

In Exercises 22鈥�29 compute the indicated quantities when u=(2,1,鈭�3),v=(4,0,1),andw=(鈭�2,6,5)

role="math" localid="1649400253452" (u脳v)脳wandu脳(v脳w)

Find PQ鈬赌

P=5,-3,Q=3,-6
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