Main Points:
Vectors are comprised of a point with a magnitude from the origin to that point. The notation can be simply written as the point would such as (2,3). Vectors can be multiplied too. If multiplied by a scalar, you simply multiply the x and y by the number and the new coordinates represent the new vector. If you add two or more vectors together you simply add all the x values together and all the y values together to get the resultant vector. To find a dot product, you multiply the x values together and add the product of the y, z etc. values (x*x + y*y + z*z etc.). The result is a scalar. If two lines are perpindicular, the dot product will be 0. The length of a vector (a) is equal to the square root of (a^2). To find the angle between two vectors (u and v), use the equation u*v=(length of u)*(length of v)*cos(the angle between the two vectors).
Challenges:
I think it may be a typo that is screwing me up right now. The reading says that to find the angle between u and u you use the equation u * v = (length of u)*(length of u)*cos(angle). Where did that v come in? Is it a typo?, because I can't make any sense of it.
Reflections:
I thought the dot product section of the reading was the most interesting. I thought it was interesting how we could calculate the angle between two vectors with this simple equation they gave involving simply the length and magnitude of the vectors. I just thought that was neat.
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