Project ID:
7200000046
Accepted:
Type:
Layout:
Question:
Match each set of equations describing two lines, two planes, or a line and plane with the correct measure of the angle between them.
Questions Title:
Lines and Planes
Answers Title:
Angles
Question 1:
\begin{array}{lllll}
&p: &x = 3 + t, &y = -2 + 3t, &z = 2 + 4t, & t\in\mathbb{R},\cr
&q: &x = -4 + 3s, &y = 5 - 4s, &z = 1 - s, & s\in\mathbb{R}.
\end{array}
Answer 1:
$60^{\circ}$
Question 2:
\begin{aligned}
&p: x = 1 - 3t,\ y = -2 + 4t,\ z = 1 + 2t,\quad t\in\mathbb{R},\cr
&\beta: 2x - y + 5z - 9 = 0.
\end{aligned}
Answer 2:
$0^{\circ}$
Question 3:
\begin{aligned}
&\alpha: x - 2z + 2 = 0,\cr
&\beta: 3y + 1 = 0.
\end{aligned}
Answer 3:
$90^{\circ}$
Question 4:
\begin{aligned}
&\alpha: 3x - 2 = 0,\cr
&q: x = -4 + t,\ y = 7,\ z = 1 - t,\quad t\in\mathbb{R}.
\end{aligned}
Answer 4:
$45^{\circ}$
Answer 5:
$150^{\circ}$
Answer 6:
$30^{\circ}$