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 \(AB\).
\( B=[-8,0]\)
\( B=[1,3]\)
\( B=[10,6]\)
\( B=[-5,1]\)