CHAPTER 02.26: VECTORS: Dot
product of two vectors Example In
this segment, we’ll see how we can find a dot product of two vectors example.
So let’s supposed the problem statement is saying that we are given a vector
as of 4 1 2 and 3 and b vector is also given to us as 3 1 7 and 2. And we’re
asked to find the dot product of two vectors which is A and B. So how we find
the dot product of A vector and B vector is simply looking at the
corresponding components, multiplying them to each other, and then adding the
result. So look the first component is 4 and the first component is 3. The second component here
is 1, and the second component here is 1; third component here is 2, and
third component here is 7; fourth component is 3, fourth component here is 2.
So we just multiply each other correspondingly and then add them up. I get 12
from here and 1 from here; I get 14 from here and I get 6 from here. And that
is 33, the dot product of two vectors in B in this case is 33. And that’s the
end of this segment. |