B

9000101108

Časť: 
B
Vypočítajte vzdialenosť priamky \(q\) a roviny \(\beta \).\[ \beta \colon x+4y+2z-4 = 0,\qquad \qquad \begin{aligned}[t] q\colon x& = 4, & \\y & = -2t, \\z & = 1 + 4t;\ t\in \mathbb{R} \\ \end{aligned} \]
\(\frac{2} {\sqrt{21}}\)
\(\frac{4} {\sqrt{21}}\)
\(0\)
\(1\)

9000101802

Časť: 
B
Je daný vektor \(\vec{a} = (1;-2)\). Ktorý z vektorov \(\vec{u} = \left (- \frac{2} {\sqrt{2}};2\sqrt{2}\right )\), \(\vec{v} = (-5;10)\), \(\vec{w} = (2{,}5;-5)\), \(\vec{r} = (-3{,}5;6)\) nie je rovnobežný s vektorom \(\vec{a}\)?
\(\vec{r}\)
\(\vec{w}\)
\(\vec{v}\)
\(\vec{u}\)

9000101605

Časť: 
B
Umocnite daný výraz \(\left (4x^{2}y + 2xy^{2}\right )^{3}\).
\(64x^{6}y^{3} + 96x^{5}y^{4} + 48x^{4}y^{5} + 8x^{3}y^{6}\)
\(16x^{2}y^{3} + 24x^{3}y^{3} + 8x^{3}y^{6}\)
\(64x^{6}y^{3} + 96x^{3}y^{3} + 96x^{4}y^{5} + 8x^{3}y^{6}\)
\(64x^{6}y^{3} + 8x^{3}y^{6}\)