La Medida

[pic]

[pic]
[pic]

[pic]
[pic]
[pic]
[pic]

[pic]

[pic]
[pic]

[pic]

[pic]
[pic]

[pic]


Dados los vectores [pic], [pic]y [pic]hallar:


1. [pic], [pic], [pic],[pic]


[pic]


[pic]


[pic]


[pic]


Hallar el ángulo que forman los vectores [pic] y [pic].


[pic]


[pic]


Dados los vectores[pic]=(2, k) y [pic]= (3, - 2), calcula k para que los vectores [pic]y [pic]sean:


1 Perpendiculares.


[pic]


[pic]


2 Paralelos.


[pic]


[pic][pic]


[pic]


3 Formen un ángulo de 60°.


[pic]


[pic]


Suponiendo que respecto de la base ortonormal {[pic], [pic]} del plano los vectores [pic]tienencomo expresiones:


[pic]


Calcular el valor de k sabiendo que [pic].


[pic]


[pic]


[pic]


[pic]


Suponiendo que respecto de la baseortonormal {[pic], [pic]} del plano los vectores [pic]tienen como expresiones:


[pic]


Calcular el valor de k para que los dos vectores sean ortogonales.


[pic]


[pic][pic]


Dados los vectores [pic], [pic]y [pic]hallar:


1. [pic], [pic], [pic], [pic]


[pic]


[pic]


[pic]


[pic]


2.[pic][pic]


[pic]


[pic]


3. [pic], [pic], [pic]


[pic]


[pic]


[pic]


4.[pic], [pic]


[pic]


[pic]Hallar el producto vectorial de estos dos vectores:


a (2, −2, 3) y (3, −3, 2).


[pic]


[pic]


Hallar un vector perpendicular a [pic]y [pic], y y su módulo.[pic]


[pic]


Dados los vectores [pic]y [pic], hallar:


1 Los módulos de [pic]y [pic]·


[pic]


[pic]


2 El producto vectorial de...