I trying to find a parametric representation of the plane which goes through the origin and contains the vectors \$i-j\$ and \$j-k\$. I found the cross product for these vectors and found that the formula for the plane is \$x+y+z=0\$. Now I assigned \$x=u\$ and \$y=v\$ and from that determined that \$z=-u-v\$.

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The answer given in my book is \$x=u\$, \$y=v-u\$, and \$z=-v\$. Is this essentially the same answer as mine? There is no "absolute correct" answer, you can choose whatever you want to simplify your question.

For example, if you want to do x=u+v,y=u-v,z=-2u, it"s absolutely ok as long as it can simplify your problem.

Parametric form is just a way to simplify your integral/area.  Thanks for contributing an answer to couchsurfingcook.comematics Stack Exchange!

But avoid

Asking for help, clarification, or responding to other answers.Making statements based on opinion; back them up with references or personal experience.

Use couchsurfingcook.comJax to format equations. couchsurfingcook.comJax reference.

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