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V=(-2, - 2) Skelch the veclors, Iind Ihe anglo botween the veclors and compule Ihe dot producl using the definition Consider Ihe veclors u = (7,0} and(Type an exact...

Question

V=(-2, - 2) Skelch the veclors, Iind Ihe anglo botween the veclors and compule Ihe dot producl using the definition Consider Ihe veclors u = (7,0} and(Type an exact answer; Using a5 needed )What the dol product?(7,0) (-2,(Simplity your answer )Enter your answer in the answer box and then click Check Answer:Check AnskerClear AllAll parts showingSnoxi

v=(-2, - 2) Skelch the veclors, Iind Ihe anglo botween the veclors and compule Ihe dot producl using the definition Consider Ihe veclors u = (7,0} and (Type an exact answer; Using a5 needed ) What the dol product? (7,0) (-2, (Simplity your answer ) Enter your answer in the answer box and then click Check Answer: Check Ansker Clear All All parts showing Snoxi



Answers

Multiply as indicated. Write each product in standand form. $$i(2+7 i)(2-7 i)$$

For this term just quickly. So we have a four plus 40 I and minus 14 I and minus minus or deny I square so it becomes four plus for deny, which is 53.

Okay, we have 2%. I minus two minus five a night. So just confused. So we have four for King High AZ minus 14. I I and minus or deny I square. So we know that finest I square should be one. So this should be 53 and two storm advantages, right?

So for these problems, they want us to solve them. A plus B I form and I have the chart of eyes here for easy reference to help us out. So the first thing we're gonna do is foil out thinking Negative two negative seven I. So just attribute those across method. It's called foil. So foiling is taking the first term, multiplying it across the two terms in the binomial and then taking a second term and doing the same thing. And then, uh, you'll have the binomial multiply. So to start out, we're gonna multiply a negative to buy negative two, which is equal to four, since the negatives cancel than negative two times seven I. So that is negative. 14 I the negative seven I times negative to the negatives. Cancel so that it's plus 14 i on the negative seven I times seven I, which is negative. 49. I squared because it's i times I. So then what we have to do is simplify this. So then I get a 49 in the 14 night cancels, and then we're looking at the I squared over here and over at our chart. I squared is equal to negative one. So we could do is change the ice cream and to negative one which should make this positive 49. So this would actually be for plus 49 and then four plus 49 equals 53. And that would be your answer to part A. They said to put it in a plus B I form, but we don't need to because the I change into negative ones. So for part B, we're going to do the same thing. We're going to change colors here, so foil out the twos and I and then two times two equals four, two times negative. I equals negative. Too high, high times too well plus too high. And I attempt negative. I equals negative. I squared. So again we have I squared. So we're gonna change that into negative one, which make this a positive. Let's do that in a different color. Positive. So we're going to cancel out the negative, too. I am the positive to I and then what we have left is four plus one, which equals five and again the I the eyes canceled out here and then the ice square changes to negative one. So the answer is five

All right. So we want to find too opposite direction ventures that arse organo too, given Dr Vita you, which is negative. Fly over to I minus three j. All right, So you already get authority? No, we just need that. That part of this to Victor being zero, right? So that's a view on. It's gonna be three. I minus five over to J. Bye. To verify this, we just need to top product with this too. So it's gonna be negative. Flight over two times. Three close, native, three times negative. Fund over to price it zero price check or a V two is tow opposite direction of 31 So it's gonna be a negative three. I plus fighting over to J, right?


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