In the last video I was a little formal in defining what Rn is, and what a vector is, and what vector addition or scalar multiplication is. In this video I want to kind of go back to basics and just give …

In the last video I was a little formal in defining what Rn is, and what a vector is, and what vector addition or scalar multiplication is. In this video I want to kind of go back to basics and just give …

This topic covers: - Vector magnitude - Vector scaling - Unit vectors - Adding & subtracting vectors - Magnitude & direction form - Vector applications

A position vector is a vector with its tail in O (0,0,0) and its head in P (x1, x2, x3). However, since it is a vector, we need to consider the associated unit vectors with each component in the …

To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is …

When a vector is just a list of numbers, we can visualize it as an arrow in space. For example, we visualize the vector (4, 2) as an arrow whose tail is at the origin and whose tip is at the point …

Vector intro for linear algebra Real coordinate spaces Adding vectors algebraically & graphically Multiplying a vector by a scalar Vector examples Unit vectors intro Parametric representations …

Learn how to factor in magnitude and direction when adding and subtracting vectors. See how to break vectors into x and y components, and how to use unit vector notation to label vectors in …

As an introduction to vectors, we’re going to live in two dimensions. All of these examples can be fairly easily extended to three dimensions (and the object we will use— PVector —allows for …

Watch Sal figure out which of a few options could be represented by a vector. Remember that vectors have both magnitude and direction!