Find the dot product of (u+v)*w

u=-1,3
v=2,4
w=2,-5

Answer choices:
A:37
B:-37
C:-29
D:-33
E:29
F:9

I am used to seeing brackets when writing vectors

u+v = [-1,3] + [2,4] = [1,7]

(u+v) dot w
= [1,7] dot [2,-5]
= 2 - 35
= - 33

Thanks dude! That was a tough question.

To find the dot product of two vectors, we multiply the corresponding components of each vector and then add the products together.

First, we need to calculate the sum of vectors u and v.
u + v = (-1, 3) + (2, 4)
= (-1+2, 3+4)
= (1, 7)

Next, we multiply the resulting vector (u + v) by vector w.
(u + v) * w = (1, 7) * (2, -5)
= (1*2, 7*(-5))
= (2, -35)

Finally, we calculate the dot product by adding the components of the resulting vector together.
2 + (-35) = -33

Therefore, the dot product of (u + v) * w is -33.

The correct answer is D: -33.