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kol2008pgn227ejc05

Module by: Daniel Felipe Gonzalez Obando. E-mail the author

Summary: Un ejercicio de vectores en el plano

Sección 4.1 Vectores en el planoDaniel Felipe González Obando

Texto ÁLGEBRA LINEAL. Bernard Kolman, David R. Hill

Ejercicio 5.

Determine u+vu+v, u-vu-v, 2u2u y 3u-2v3u-2v.

(a) u=(2,3)u=(2,3), v=(-2,5)v=(-2,5)

(b) u=(0,3)u=(0,3), v=(3,2)v=(3,2)

(c) u=(2,6)u=(2,6), v=(3,2)v=(3,2)

Solución

(a)

sage] u=vector([2,3])

sage] v=vector([-2,5])

sage] u+v

0 , 8 0 , 8

sage] u-v

4 , - 2 4 , - 2

sage] 2*u

4 , 6 4 , 6

sage] 3*u-2*v

10 , - 1 10 , - 1

(b)

sage] u=vector([0,3])

sage] v=vector([3,2])

sage] u+v

3 , 5 3 , 5

sage] u-v

- 3 , 1 - 3 , 1

sage] 2*u

0 , 6 0 , 6

sage] 3*u-2*v

- 6 , 5 - 6 , 5

(c)

sage] u=vector([2,6])

sage] v=vector([3,2])

sage] u+v

5 , 8 5 , 8

sage] u-v

- 1 , 4 - 1 , 4

sage] 2*u

4 , 12 4 , 12

sage] 3*u-2*v

0 , 14 0 , 14

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