B

9000101802

Level: 
B
Among vectors \(\vec{u} = \left (- \frac{2} {\sqrt{2}},2\sqrt{2}\right )\), \(\vec{v} = (-5,10)\), \(\vec{w} = (2.5,-5)\), \(\vec{r} = (-3.5,6)\) find the vector which is not parallel to the vector \(\vec{a} = (1,-2)\).
\(\vec{r}\)
\(\vec{w}\)
\(\vec{v}\)
\(\vec{u}\)

9000101710

Level: 
B
Factor the following polynomial. \[ x^{2}y - x^{2}z - 4xyz + 4xy^{2} + 4y^{3} - 4y^{2}z \]
\(\left (y - z\right )\left (x + 2y\right )^{2}\)
\(\left (y - z\right )\left (x - 2y\right )^{2}\)
\(\left (y - z\right )\left (x^{2} + 4y + 4y^{2}\right )\)
\(\left (y + z\right )\left (x - 2y\right )^{2}\)

9000101103

Level: 
B
Find the distance between two parallel lines \(p\) and \(q\). \[ \begin{aligned}p\colon x& = 2, & \\y & = 3t, \\z & = 1 - t,\ t\in \mathbb{R} \\ \end{aligned}\qquad \qquad \begin{aligned}q\colon x& = 3, & \\y & = 6s, \\z & = 1 - 2s,\ s\in \mathbb{R} \\ \end{aligned} \]
\(1\)
\(2\)
\(3\)
\(4\)