In Exercises 3 and 4, display the following vectors using arrows on an xy -graph: u , v , − v , −2 v , u + v . u − v , and u − 2 v . Notice that u − v is the vertex of a parallelogram whose other vertices are u , 0 , and − v . 3. u and v as in Exercise 1 4. u and v as in Exercise 2 In Exercises 1 and 2, compute u + v and u − 2 v . 1. u = [ − 1 2 ] , v = [ − 3 − 1 ]
In Exercises 3 and 4, display the following vectors using arrows on an xy -graph: u , v , − v , −2 v , u + v . u − v , and u − 2 v . Notice that u − v is the vertex of a parallelogram whose other vertices are u , 0 , and − v . 3. u and v as in Exercise 1 4. u and v as in Exercise 2 In Exercises 1 and 2, compute u + v and u − 2 v . 1. u = [ − 1 2 ] , v = [ − 3 − 1 ]
In Exercises 3 and 4, display the following vectors using arrows on an xy-graph: u, v, −v, −2v, u + v. u − v, and u − 2v. Notice that u − v is the vertex of a parallelogram whose other vertices are u, 0, and −v.
3. u and v as in Exercise 1 4. u and v as in Exercise 2
In Exercises 1 and 2, compute u + v and u − 2v.
1.
u
=
[
−
1
2
]
,
v
=
[
−
3
−
1
]
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.
Linear Algebra and Its Applications plus New MyLab Math with Pearson eText -- Access Card Package (5th Edition) (Featured Titles for Linear Algebra (Introductory))
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