# Sketch A Graph Of Each Vector

**I could draw it like that.**

**Sketch a graph of each vector**. The vector is normally visualized in a graph. Then try for a few minutes to obtain the analytical solution for x t. In this video i discuss the basic notion of a vector and how to add vectors together graphically as well as what it means graphically to. U i j v 2i 3j.

0 votes find a u v b u v and c 2u 3v then sketch each resultant vector. In each case sketch the vector field on the real line find all the fixed points classify their stability and sketch graph of x t for different initial conditions. The component form of a vector is the ordered pair that describes the changes in the x and y values. Sketching sums and differences of vectors.

Clicking on the end of a vector will also reveal its individual components. In the graph above x 1 0 y 1 0 and x 2 2 y 2 5. Sometimes there ll be a little arrow notation over the vector. So vector a could be right.

So vector a was this light blue color right there. But either of those vectors. If you get stuck don t try for too long since in several cases it s impossible to solve the equation in. Beyond simple math and grouping like x 2 x 4 there are some functions you can use as well.

Find a u v b u v and c 2u 3v then sketch each resultant vector. Vector basics drawing vectors vector addition. A vector between a and b is written as overrightarrow ab the vectors standard position has its starting point in origin. In this video i give three vectors and do a few examples of sketching the sum and difference of those vectors.

They are mostly standard functions written as you might expect. I could draw vector a here. So in order to sketch the graph of a vector function all we need to do is plug in some values of t t and then plot points that correspond to the resulting position vector we get out of the vector function. Look below to see them all.

So this is vector a. You can drag the diagram around and zoom in or out by scrolling with the mouse. This is vector a. Because it is a little easier to visualize things we ll start off by looking at graphs of vector functions in r2 r 2.