Vectors
Vectors: magnitude and direction
Practice
Scalar Multiplication
Sum of vectors Must add head to tail A B C Example: + =
Vector Subtraction u v - v u - v - v u
Name the resultant This means sum Start at the dot Follow “roads” u v w u v -w u u + v – w (resultant) Had to flip w to follow road
Dot Product
Components (aka triangles) use SOH CAH TOA X Y 30 ̊ 15 - Be careful what quadrant X and y both positive X Y 30 ̊ 15 X positive, y negative
Find the resultant: draw the vectors given and answer is the path they make A C B
Find the resultant of forces ̊ ̊ resultant Have to move to add, Use law of cos or sin
Vector VS Scalar Vector is 2 numbers Scalar is 1 numbers 3 = vector ||v||= scalar