- #1

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Given are the two sets

[tex] A = \left \lbrace (x_{0}, x_{1}, x_{2}, x_{3}) \in \mathbb{R}^{4} \mid x_{0}^{2} = \vec{x} \, ^{2}, x_{0} \geq 0 \right \rbrace [/tex]

and

[tex] B = \left \lbrace (x_{0}, x_{1}, x_{2}, x_{3}) \in \mathbb{R}^{4} \mid (k_{0} - x_{0})^{2} = (\vec{k} - \vec{x})^{2}, x_{0} \leq k_{0} \right \rbrace [/tex]

where [tex] \vec{x} = (x_{1}, x_{2}, x_{3}) [/tex]

and [tex] k = (k_{0}, k_{1}, k_{2}, k_{3}) [/tex] should be an arbitrary point (i.e. free of choice, but fix) with [tex] k_{0} > 0 [/tex]. For example: [tex] k = (k_{0}, 0, 0, 0) [/tex]

Now I want to plot both sets and I want to highlight the intersection of A and B.

How do I do that??? Has someone any idea? I've some basics in Maple and Mathematica, but plotting is not one my strengths.