(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show graphically how [tex]\vec{a}\times\vec{x}=\vec{d}[/tex] defines a line. [tex]\vec{a}[/tex] and [tex]\vec{d}[/tex] are constants. [tex]\vec{x}[/tex] is a point on the line.

2. Relevant equations

[tex]\vec{a}\times\vec{x}=a\cdot x\cdot sin(\theta)\cdot \hat{n}[/tex]

3. The attempt at a solution

Not sure if the included relevant equation is even relevant in this case. In any case, trying to graph this as a line seems impossible. Holding [tex]\vec{a}[/tex] constant and varying [tex]\vec{x}[/tex] along the line must result in different values of [tex]\vec{d}[/tex] which breaks the constraints on the original problem. It seems to me as if the above equation could only have one solution and, therefore, result in a point, not a line.

The only way I see this working is to imply the the above equation has multiple solutions (points along the line). Is this possible? And, if so, could anyone explain it in a simple manner?.

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# Homework Help: Graphical Representation of Cross Product

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