Mathematik-Online problems: Problem 233: Vector Representation of Geometric Objects

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	Mathematik-Online problems:
	Problem 233: Vector Representation of Geometric Objects

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#./aufgabe233_en.tex#Given vectors

$\vec{a}=$ $\left(\begin{array}{c}1 \\ 1\end{array}\right)$ and $\vec{b}=$ $\left(\begin{array}{r}-1 \\ 1\end{array}\right)$ .

Which geometric objects are described by the following formulas?

a) $\vec x= t \vec a + (1-t)\vec b$ ,          $0 \leq t \leq 2$

b) $\vec x = r \vec a + s \vec b$ ,         $r,s \geq 0$

c) $\vec x = \vec a \cos t + \vec b \sin t$ ,          $0 \leq t \leq 2 \pi$

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automatisch erstellt am 6. 2. 2018

a)	$\vec x= t \vec a + (1-t)\vec b$ ,	$0 \leq t \leq 2$
b)	$\vec x = r \vec a + s \vec b$ ,	$r,s \geq 0$
c)	$\vec x = \vec a \cos t + \vec b \sin t$ ,	$0 \leq t \leq 2 \pi$