Demos/Vector-101-Intro-to-Vectors.demo.ps1
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#1. Getting Vectors # Numbers are great! # When we measure things with one number, it's technically called a scalar. # When we measure things with more than one number, it's called a vector # We can do lots of things with vectors. We can add or substract them, multiply and divide them. # Vectors are very useful. # Let's see how we can get a vector: # Create a 2D vector [Numerics.Vector2]::new(1,2) # Create a 3D vector [Numerics.Vector3]::new(1,2,3) # Create a 4D vector [Numerics.Vector4]::new(1,2,3,4) # The Vector module gives us three vector commands: Get-Vector2 1 2 Get-Vector3 1 2 3 Get-Vector4 1 2 3 4 # We can drop the `get` Vector2 1 2 Vector3 1 2 3 Vector4 1 2 3 4 # We can use the shorthand `v2`, `v3`, `v4` v2 1 2 v3 1 2 3 v4 1 2 3 4 # We can create vectors from a number v2 1 v3 1 v4 1 # Strings can be vectors, too (we just get the bytes) v2 "hi" v3 "hi" v4 "hi" # Let's start with addition. # We can add a scalar to a vector. (v2 1 2) + 1 (v3 1 2 3) + 1 (v4 1 2 3 4) + 1 # Let's try substraction: (v2 1 2) - 1 (v3 1 2 3) - 1 (v4 1 2 3 4) - 1 # How about multiplication? (v2 1 2) * 2 (v3 1 2 3) * 2 (v4 1 2 3 4) * 2 # What about division? (v2 1 2) / 2 (v3 1 2 3) / 2 (v4 1 2 3 4) / 2 # We can also work with other vectors: # Adding vectors: (v2 1 2) + (v2 1 2) (v3 1 2 3) + (v3 1 2 3) (v4 1 2 3 4) + (v4 1 2 3 4) # Subtracting vectors: (v2 1 2) - (v2 1 2) (v3 1 2 3) - (v3 1 2 3) (v4 1 2 3 4) - (v4 1 2 3 4) # Multiplying vectors: (v2 1 2) * (v2 1 2) (v3 1 2 3) * (v3 1 2 3) (v4 1 2 3 4) * (v4 1 2 3 4) # Dividing vectors: (v2 1 2) / (v2 1 2) (v3 1 2 3) / (v3 1 2 3) (v4 1 2 3 4) / (v4 1 2 3 4) # We can also negate a vector: -(v2 1 2) -(v3 1 2 3) -(v4 1 2 3 4) # We can compare two vectors to see if they are equal (v2 1 2) -eq (v2 1 2) (v3 1 2 3) -eq (v3 1 2 3) (v4 1 2 3 4) -eq (v4 1 2 3 4) # We can also see if they are not equal (v2 1 2) -ne (v2 1 2) (v3 1 2 3) -ne (v3 1 2 3) (v4 1 2 3 4) -ne (v4 1 2 3 4) |