Hi! Can someone help me with these? Thanks a bunch! :)
1.) Find the dot product.
<0, 3> ∙ <4, -2>
2.) Find the dot product of u and v.
u = <-4, 1>
v = <2, -3>
Of course, I'd be happy to help you with these questions!
1.) To find the dot product of two vectors, you need to multiply their corresponding components and then sum them up.
For the given vectors <0, 3> and <4, -2>, the dot product can be calculated as follows:
Dot product = (0 * 4) + (3 * -2)
Therefore, the dot product is -6.
2.) Similarly, for the vectors u = <-4, 1> and v = <2, -3>, we can calculate the dot product by multiplying their corresponding components and summing them up:
Dot product = (-4 * 2) + (1 * -3)
This results in a dot product of -11.
I hope this helps! Let me know if you have any more questions.