Notes for 2/3

Today we talked about the dot product of two vectors. Basically, if you have two vectors and want to find the dot product of them, you have to take the first term of each and multiply them together and add that to the second terms multiplied together (the dot product of vector "a" and vector "b" would be a1*b1 + a2*b2). We also learned the equation to find the angle between two vectors, as shown in the notes. By applying what we learned today about dot products and what we learn previously about vectors' magnitudes, we could figure out the angle. We proceeded to do a practice problem with this concept. Something to note about dot products is that if the dot product of any two vectors =0, the vectors are orthogonal (perpendicular in more than two dimensions). Another important thing is the diagram in the upper right-hand corner of the notes.