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Vector Operations
Vectors
Area/Bearings and More
Law of Sin and Cosine
Complex Numbers
100

<V1a,V2a> + <V1b,V2b>  =  

<V1a+V1b,V2a+V2b> 

100

It is a Line Segment with Magnitude and Direction

What are Vectors?

100

Two vectors that are are orthogonal 


What is v ⋅ u = 0

100

AAS, ASA, and SSA are types of types for Law of Sine but SSA has a special case

What is an ambiguous case?

100

r(cosθ + isinθ)

What is Trig. Form?

200

2 * <6,2> = ?

<12,4>

200

Vector has an initial point that  is on the origin

What is Standard Position?

200

Two vectors that are are parallel if?

What is u = k(scalar) ⋅ v

200

SSS and SAS

What is Law of Cosine?

200

Standard Rectangular Form of Complex Numbers

What is (a+bi)

300

When you multiply a Vector by a constant


What is Scalar Multiplication?

300

Vector with magnitude of one unit

What is a Unit Vector

300

Semi-Perimeter of a Triangle

What is S?

300
Three Possibilities of SAS

  • No Triangle

  • 1 Triangle 

  • 2 Triangles

300

sqrt(a2+b2) is the equation for a complex number's...

What is modulus or magnitude?

400

<5,8> - <9,11> =

<-4,-3>

400

arctan(sin(theta)/cos(theta)) =

What is theta?


400

sqrt(s(s-a)(s-b)(s-c))

What is Heron's Formula?

400

Steps to avoid ambiguous cases when solving

  • Find the angle of the largest side or the value of the largest side first

  • Then use this information to find the rest of the values

400

zn=rn(cosθ + sinθ)

What is DeMoivre's Theorem?


500

<128, 121> + <13, 1> + <1,4> = ?

<142, 126>

500

In a Unit Vector, the first component can also be represented as this on a unit circle.

What is cos(theta)?


500

This is how many Triangles are possible given that one of the angles plus the supplement of another angle adds up to >= 180. 

What are two triangles?
500

Area of Triangle with the following:

Side a: 5 Units

Side b: 4 Units

Side c: 3 Units


What is 6 Units^2

500

The constant multiplied by θ in the power of complex numbers, zn=rn(cos(?*θ) + sin(?*θ)),

What is n?