9000106203
Level:
A
In the following list identify a vector having the same direction as the parametric
line \(p\).
\[ \begin{aligned}
p\colon x & = -5, \\
y & = 5t;\ t\in \mathbb{R}
\end{aligned}\]
\((0;1)\)
\((5;5)\)
\((5;0)\)
\((-5;5)\)
Analytical Plane Geometry
9000106204
Level:
A
In the following list identify a vector having the same direction as the parametric
line \(p\).
\[ \begin{aligned}
x & = 2t, \\
y & = 0;\ t\in \mathbb{R}.
\\\end{aligned}\]
\((1;0)\)
\((0;0)\)
\((0;1)\)
\((0;2)\)
9000106207
Level:
A
In the following list identify a normal vector to the line
\(p\).
\[
p\colon - x + 2y + 3 = 0
\]
\((1;-2)\)
\((2;3)\)
\((-1;3)\)
\((2;-1)\)
9000106208
Level:
A
In the following list identify a normal vector to the line
\(p\).
\[
p\colon 2y - 1 = 0
\]
\((0;1)\)
\((2;0)\)
\((2;-1)\)
$(2;1)$
9000106801
Level:
A
Find the vector in the direction of the following line.
\[
2x + 1 = 3y - 2
\]
\((3;2)\)
\((-3;2)\)
\((2;-3)\)
\((-3;3)\)
9000106209
Level:
A
In the following list find the vector having the same direction as the line
\(p\).
\[
p\colon y = 2x + 1
\]
\((1;2)\)
\((2;-1)\)
\((2;1)\)
\((1;-2)\)
9000106001
Level:
A
In the following list identify a vector in the direction of the following parametric
line.
\[\begin{aligned}
x =\ &1 + t, & &
\\y =\ &3 + 2t;\ t\in \mathbb{R} & &
\end{aligned}\]
\(\left (1;2\right )\)
\(\left (1;3\right )\)
\(\left (0;2\right )\)
\(\left (3;1\right )\)
9000106206
Level:
A
In the following list find the vector having the same direction as the line passing through
the points \(A = [3;4]\)
and \(B = [5;8]\).
\((1;2)\)
\((4;2)\)
\((1;3)\)
\((2;-4)\)
9000106002
Level:
A
In the following list identify a vector in the direction of the following parametric
line.
\[\begin{aligned}
x =\ &t - 1, & &
\\y =\ &t - 2;\ t\in \mathbb{R}\text{.} & &
\end{aligned}\]
\(\left (1;1\right )\)
\(\left (1;2\right )\)
\(\left (-1;-2\right )\)
\(\left (1;-1\right )\)
9000106205
Level:
A
In the following list find the vector having the same direction as the line passing through
the points \(A = [3;-3]\)
and \(B = [-1;-9]\).
\((2;3)\)
\((2;-12)\)
\((4;-6)\)
\((-4;6)\)