Ali U1 Ov Heet

Ejercicios con vectores



1. Encuentra la suma de los siguientes vectores:


a. u = (5, -3), v = (4, 2) u+v= R R=(9,-1)

b. u = (1, 7), v = (2, -2) u+v= R R(3,5)

c. u = (-11, -6), v = (13, 9) u+v= R R= (2,3)


2. Encuentra la magnitud del vector resultante de la suma de los vectores anteriores.


a. R = (9,-1) = √(9)2+ (-1)2= √81+1 = √82 R= 9.05

b. R = (3,5) = √(3)2+ (5)2 = √9+25 = √34 R= 5.83

c. R = (2,3) = √(2)2+ (3)2 = √4+9 = √13 R= 3.60




3.Representa la suma de vectores en el plano cartesiano.



| | | |y | | | | | | | | | | | | | | | | | | | | |Punto final | | | | | | | | | | | | | | | | | | | | | |Punto inicial | | | |b. |(3,5) | | || | | | | | | | | | |c. |(2,3) | | | | | | | |-y | | | | | | | | | | | | | | | | | | | | | | | | | | | |x | | | | | | | | | |a. |(9,-1) | | | | | | | | | | | |magnitud | | |dirección | |sentido | | || | | | |-x | | | | | | | | | | |








4. Encuentra la resta de los siguientes vectores:


a. u = (1, 1, 2), v = (0, 2, 1) R= (1,-1,1)

b. u = (6, 0, 2), v = (3, 5, 1) R=(3,-5,1)

c. u = (6, 1), v = (7, -1) R= (-1,2)


5. Representa la resta de vectores en el plano cartesiano.
a.
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | || | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |v=(0, |2,1) | | | | | |R=(1, |-1,1) | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | || | | | | | | | | | | |A=(1, |1,2) | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
b.
| | |v=3,5,1) | | | | |R=(3,-5, |1) | | | | | | | | | | | | | | | | | | | | | | | | | | | || | | | | | | | | | | | | | | | | | | | | | | | | |u=(6,0,2) | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |








c.
| | |y | | | | | | | | | | | | | | | | |...