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3 methods for adding and subtracting vector values. 1.tip-to-tail 2. Component 3.Vector Notation
Tip-to-Tail Method is? Place tip end of one vector (A) at the tail end of the following vector (B). The resulting vector from tail of 1st vector to tip of 2nd vector will read A+B;
Component method? This method involves breaking each vector into perpendicular components. Given vector (V), draw right triangle with (V) as hypotenuse. Solve for X and Y components through trig functions.
Vector Notation Defining two dimensional vectors by their x and y components Add different x and y components A = 3i + 5j B = 2i + -5j = 5i + 0j
Multiplication (Vector)*(Vector) (Vector)*(Vector) = Scalar Multiply magnitudes and cos of angle between two A*B = |A| |B| cos∅
Multiplication (Vector)*(Vector) (Vector)*(Vector) = vector Multiply magnitudes and sin of angle between two A*B = |A| |B| sin∅
Scalar Examples Distance = d Speed = v Time = t Energy = E Mass = m
Vector Examples Displacement = d Velocity = v acceleration = a Force = F Torque = \tau t
Speed/Velocity Speed denotes to [L]/[T}, Distance traveled/elapsed time. Velocity denotes to same but with the added part of what direction. v= displacement/elapsed time
Created by: ravijkriss