Determine if vectors u and v are orthogonal, parallel, or neither. If neither state if the angle formed is obtuse or acute.

a. u = <16, 10> v = <8, 4>

b. u = <6, 9> v = <3>

c. u = 8i + 4jv = 2i j

d. u = <-4, 7> v = <10, 3>

e.A rifle is fired at a target with an initial velocity of 1200 feet per second at an

angle of 28 with the horizontal. Find the vertical and horizontal component

of the velocity.

Vertical:

Horizontal:

f.Forces with magnitudes of 2000 pounds and 900 pounds act on a machine

part at angles of 33 and -44, respectively, with the x-axis. Find the direction

and magnitude of the resultant of these forces.

Direction:

Magnitude:

g.Three forces with magnitudes of 80 pounds, 50 pounds, and 100 pounds act on

an object at angles of -35, 45, and 150, respectively, with the x-axis. Find the

direction and magnitude of the resultant of these forces.

Direction:

Magnitude:

h.A force of 200 pounds is applied to an object at an angle of 58 with the

horizontal. The object is pushed 35 feet. How much work is done?