StudySmarter AI is coming soon!

- :00Days
- :00Hours
- :00Mins
- 00Seconds

A new era for learning is coming soonSign up for free

Suggested languages for you:

Americas

Europe

Q. 22

Expert-verifiedFound in: Page 824

Book edition
1st

Author(s)
Peter Kohn, Laura Taalman

Pages
1155 pages

ISBN
9781429241861

In Exercises 22–29 compute the indicated quantities when $u=(2,1,-3),v=(4,0,1),\mathrm{and}w=(-2,6,5)$

$u\times v\mathrm{and}v\times u$

The value of $u\times v=1i+14j-4k$ and localid="1649397999598" $v\times u=-1i-14j+4k$

In Exercises 22–29 compute the indicated quantities when$u=(2,1,-3),v=(4,0,1),\mathrm{and}w=(-2,6,5)$

We have to find the value of $u\times v\mathrm{and}v\times u$

The value of vectors $u=(2,1,-3),v=(4,0,1)$

The cross product of $u\times v$

localid="1649398046712" $u\times v=\mathrm{det}\left[\begin{array}{ccc}\mathrm{i}& \mathrm{j}& \mathrm{k}\\ 2& 1& -3\\ 4& 0& 1\end{array}\right]$

$u\times v=\mathrm{det}\left[\begin{array}{ccc}\mathrm{i}& \mathrm{j}& \mathrm{k}\\ 2& 1& -3\\ 4& 0& 1\end{array}\right]\phantom{\rule{0ex}{0ex}}u\times v=\left(\right(1\left)\right(1)-(-3\left)\right(0\left)\right)i+\left(\right(2\left)\right(1)-(-3\left)\right(4\left)\right)j+\left(\right(2\left)\right(0)-(1\left)\right(4\left)\right)k\phantom{\rule{0ex}{0ex}}u\times v=(1+0)i+(2+12)j+(0-4)k\phantom{\rule{0ex}{0ex}}u\times v=1i+14j-4k$

The value of vectors $u=(2,1,-3),v=(4,0,1)$

The cross product of $v\times u=\mathrm{det}\left[\begin{array}{ccc}\mathrm{i}& \mathrm{j}& \mathrm{k}\\ 4& 0& 1\\ 2& 1& -3\end{array}\right]$

$v\times u=\mathrm{det}\left[\begin{array}{ccc}\mathrm{i}& \mathrm{j}& \mathrm{k}\\ 4& 0& 1\\ 2& 1& -3\end{array}\right]\phantom{\rule{0ex}{0ex}}v\times u=\left(\right(0\left)\right(-3)-(1\left)\right(1\left)\right)i+\left(\right(4\left)\right(-3)-(1\left)\right(2\left)\right)j+\left(\right(4\left)\right(1)-(0\left)\right(2\left)\right)k\phantom{\rule{0ex}{0ex}}v\times u=(0-1)i+(-12-2)j+(4-0)k\phantom{\rule{0ex}{0ex}}v\times u=-1i-14j+4k$

94% of StudySmarter users get better grades.

Sign up for free