Vectors

Vocabulary

100

Magnitude 

Length

200

Initial Point

Starting Point; tail

300

Terminal Point

Ending Point; tip

400

Resultant

Combination of vectors

500

What does a vector have?

Both magnitude and direction

Component Form of Vector

100

How do you get the component form?

Terminal-Initial

200

QP=

<P₁-Q₁, P₂-Q₂>

300

V=<_,_>

V=<v₁,v₂>

400

Implies vector is in standard position

Component Form of Vector

500

What is the standard position?

Initial point (tail) is at the origin

Mixture

100

Tail to tip method 

Triangle Method

200

Find PQ in component form

P(1,5) Q(-2,3)

<-3,2>

300

Find NM in Component Form

M(0,-2) N(-5,3)

<5,-5>

400

How do you find the angle between the vector and x-axis?

Tan theta = y/x 

500

Who is the best math teacher?

Mrs. Southers!

Xtra

200

What method is there other than the triangle method?

Parallelogram Method

400

How do you find the magnitude of a vector?

The distance formula