Let a=(5,2) and b=(-3,1), find a (dot) b
what are your thoughts on this one? Have you not done any dot products yet?
Nope, our teacher probably gave this to us to see if we can figure it out. But I haven't been able to.
Surely your text explains how to do them.
(a,b) dot (c,d) = (ac,bd)
That is, just multiply the respective components of the two vectors. The result is just a scalar number.
google can provide you with many explanations and examples.
To find the dot product of two vectors, you need to multiply their corresponding components together and then sum those products.
In this case, you have two vectors a=(5,2) and b=(-3,1).
1. First, multiply the corresponding components of the two vectors:
a • b = (5 * -3) + (2 * 1) = -15 + 2
2. Then, simplify the expression:
a • b = -13
Therefore, the dot product of vectors a and b is -13.