
What is a position Vector?_{}
A vector that's tail is at the origin and Head is at some point (V_{1}, V_{2})

What is the Position Vector of points Q(2,1) and U(6,5)?
The position vector is with the tail at the origin (0,0) and head at (8,4)

Find two vectors that are both parallel and 3times the magnitude/length of V. V=<V_{1},V_{2}>
Two vectors parallel to V are

How can a Vector be Orthogonal to another?
Two vectors can be Orthogonal if and only if U⋅V = 0

What are the two forms of the DOT product?

What are the properties of the DOT Product?
 U⋅V = V⋅U Commutative property
 C(U⋅V) = (CU)⋅V = U⋅(CV) Associative property
 U⋅(V+W) = U⋅V+U⋅W Distributive property

1. If you have projection U onto V (Proj_{V}U) how would you represent the length of the projection?
2. What would the vector created by the projection then be represented by? (Magnitude ⋅ Direction)
1. also known as the scaler comp
 2.
 NOTE: may need to sub out using DOT product equations.


1.) Equation of a Sphere?
2.) Equation of a Ball?
1.
2.

What is the distance formula for 3D space?


If you are given Point P and point M, what is vector ?

Vector Operations?
Vector Addition
Vector Subtraction
Scaler Mult. When C is a constant.

What is the magnitude of a Vector?
The Length of the vector
is the distance from P to Q therefore mag. is

