2000001408
Level:
A
Find the vector \(\vec{c} = \vec{a} - \vec{b}\), where \(\vec{a}=(1;2) \) and \(\vec{b}=(-3;4) \).
\( (4;-2)\)
\( (-2;-2)\)
\( (4;2)\)
\( (2;-2)\)
Points and vectors
2000001409
Level:
A
Find the vector \(\vec{c} = 2\vec{a} - \vec{b}\), where \(\vec{a}=(3;5) \) and \(\vec{b}=(-1;4) \).
\( (7;6) \)
\( (5;6) \)
\( (5;14) \)
\( (4;1) \)
2010007401
Level:
A
Find the perpendicular vector to the vector \((3; -4)\).
\( (8;6)\)
\( (-6;8)\)
\( (6;-8)\)
\( (3;4)\)
2010007402
Level:
A
Find the perpendicular vector to the vector \((-1; 4)\).
\( (8;2)\)
\( (2;8)\)
\( (1;4)\)
\( (-2;8)\)
2010007403
Level:
A
Find the parallel vector to the vector \((1; 4)\).
\( (2;8)\)
\( (2;2)\)
\( (-1;2)\)
\( (8;-2)\)
2010007404
Level:
A
Find the parallel vector to the vector \((12; 4)\).
\( (6;2)\)
\( (-4;12)\)
\( (6;8)\)
\( (-6;2)\)
2010007405
Level:
A
Find the parallel vector to the vector \(\overrightarrow{AB}\), where \(A=[1;2]\), \(B=[4;-1]\).
\( (1;-1)\)
\( (3;3)\)
\( (3;1)\)
\( (5;1)\)
2010007406
Level:
A
Find the parallel vector to the vector \(\overrightarrow{AB}\), where \(A=[-3;2]\), \(B=[1;4]\).
\( (2;1)\)
\( (-1;2)\)
\( (4;6)\)
\( (4;1)\)
2010007407
Level:
A
Given the points \( A=[3;1]\) and \(S=[-1;3]\), find the point \(B\), such that \(S\) is the center of \(AB\).
\( B=[-5;5]\)
\( B=[1;2]\)
\( B=[7;-1]\)
\( B=[-3;4]\)
2010007408
Level:
A
Given the points \( A=[4;4]\) and \(S=[-2;2]\), find the point \(B\), such that \(S\) is the center of \(AB\).
\( B=[-8;0]\)
\( B=[1;3]\)
\( B=[10;6]\)
\( B=[-5;1]\)