Vectors Whats a Vector Victor A vector is

Vectors

What’s a Vector Victor?

A vector is a directed line segment. Magnitude = 8 8 m 0 30 0 60 Direction is clockwise from North

Vector Component Form Standard form starts at the origin. Component form uses a point to 8 o 30 to describe the

Vector Component Form Get the X and Y components using trig. <4√ 3, 4> Sin 30 = y 8 8 y o 8 Sin 30 = y 30 4=y

Vector Component Form Get the X and Y components using trig. <4√ 3, 4> Cos 30 = x 8 8 o 8 Cos 30 = y 30 x 4√ 3 = y

Vector v = 3, 4 Find magnitude using Pythag Th 4 3 Use trig to Get the angle

The sum of two vectors Is a resultant. Obviously 6 m 8 m

Two Methods: Parallelogram Method 2 2 2 6 +8 =c 2 100 = c 10 = c 6 m 8 m

Two Methods: Parallelogram Method Tan x = 6/8 0 x= 36. 9 6 m x 8 m

Two Methods: Triangle Method End to end 10 x 8 m 6 m

---Plane travels East 5 oo mph What happens if the wind o blows 50 mph at 45 angle?

500 50 Speed and direction change

How can you find the Magnitude of the Resultant? 500 Angle is 50 0 135

How can you find the Magnitude of the Resultant? 500 50 0 135 Angle is Law of Cos

3 forces to pull out A tree stump 60 newtons 35 Now what? 0 40 Do 2 at a 50 time. A newton is a unit of force.

Find Magnitude by Law of Cosines 60 35 0 40 0 140 50

Right angle with ground 60 80

60 100 80 This is the resultant force On the stump.

Always keep your words soft and sweet in case you have to eat them.