Question

Consider the following vectors in component form.

→u=⟨3.2,2.5⟩
→v=⟨−6.3,−5.9⟩
→w=⟨−0.2,0.9⟩
→z=⟨11,−3⟩
Represent each of the following resultant vectors in component form. (Each answer should be in the form "< #, #>".) →u+→v=
→v+→w=  
→u+→z=
→w+→z+→u=​

Answer 1

Cartesian Coordinate System

• Also called

rectangular coordinate

system

• x- and y- axes intersect

at the origin

• Points are labeled (x,y)

Polar Coordinate System

– Origin and reference

line are noted

– Point is distance r from

the origin in the

direction of angle θ,

ccw from reference

line

– Points are labeled (r,θ)

Cartesian to Polar Coordinates

• r is the hypotenuse and θ

an angle

θ must be ccw from

positive x axis for these

equations to be vali

Explanation: