Sketch the vectors r 0 = − 2 , 0 and r 1 = 1 , 3 , and then sketch the vectors 1 3 r 0 + 2 3 r 1 , 1 2 r 0 + 1 2 r 1 , 2 3 r 0 + 1 3 r 1 Draw the line segment 1 − t r 0 + t r 1 0 ≤ t ≤ 1 . If n is a positive integer, what is the position of the point on this line segment corresponding to t = 1 / n , relative to the points − 2 , 0 and 1 , 3 ?
Sketch the vectors r 0 = − 2 , 0 and r 1 = 1 , 3 , and then sketch the vectors 1 3 r 0 + 2 3 r 1 , 1 2 r 0 + 1 2 r 1 , 2 3 r 0 + 1 3 r 1 Draw the line segment 1 − t r 0 + t r 1 0 ≤ t ≤ 1 . If n is a positive integer, what is the position of the point on this line segment corresponding to t = 1 / n , relative to the points − 2 , 0 and 1 , 3 ?
Sketch the vectors
r
0
=
−
2
,
0
and r
1
=
1
,
3
,
and then sketch the vectors
1
3
r
0
+
2
3
r
1
,
1
2
r
0
+
1
2
r
1
,
2
3
r
0
+
1
3
r
1
Draw the line segment
1
−
t
r
0
+
t
r
1
0
≤
t
≤
1
.
If n is a positive integer, what is the position of the point on this line segment corresponding to
t
=
1
/
n
,
relative to the points
−
2
,
0
and
1
,
3
?
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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