Introduction to Vectors 1/18/2014
Vector: Magnitude and a direction ||V||=magnitude, v= entire vector (either bolded v or draw arrow on
top of it)
Magnitude: A number representing the length of vector. A vector with magnitude one can be pointed in
any direction. Formula:√𝑋 + 𝑌 (In 2 dimensions, add z if in 3)
Translate: Move vector to different location without changing magnitude or direction.
Vector space: Any space with vectors.
Linear Combination: Sum. Scalar multiplication of 2 or more vectors. EX: <4,4> is a linear combination of
<6,2> and <2,4>.
Unit Vector: ||v||=1 Formula: v/ √ + 𝑌
Normalizing: Turning any vector into a unit vector.
Triangle Inequality: ||v+w||≤||v||+||w|| the sum of 2 vectors is shorter than the 2 components