For each of the following pairs of points, draw the vector A B → . Then compute and redraw A B → as a vector in standard position. ( a ) A = ( 1 , — 1 ) , B = ( 4 , 2 ) ( b ) A = ( 0 , — 2 ) , B = ( 2 , − 1 ) ( c ) A = ( 2 , 3 2 ) , B = ( 1 2 , 3 ) ( d ) A = ( 1 3 , 1 3 ) , B = ( 1 6 , 1 2 )
For each of the following pairs of points, draw the vector A B → . Then compute and redraw A B → as a vector in standard position. ( a ) A = ( 1 , — 1 ) , B = ( 4 , 2 ) ( b ) A = ( 0 , — 2 ) , B = ( 2 , − 1 ) ( c ) A = ( 2 , 3 2 ) , B = ( 1 2 , 3 ) ( d ) A = ( 1 3 , 1 3 ) , B = ( 1 6 , 1 2 )
For each of the following pairs of points, draw the vector
A
B
→
. Then compute and redraw
A
B
→
as a vector in standard position.
(
a
)
A
=
(
1
,
—
1
)
,
B
=
(
4
,
2
)
(
b
)
A
=
(
0
,
—
2
)
,
B
=
(
2
,
−
1
)
(
c
)
A
=
(
2
,
3
2
)
,
B
=
(
1
2
,
3
)
(
d
)
A
=
(
1
3
,
1
3
)
,
B
=
(
1
6
,
1
2
)
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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