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30 ifo >v 24 1.25v 18.67V + 62.3 if4 < v < 45 ifv > 45W (v)...

Question

30 ifo >v 24 1.25v 18.67V + 62.3 if4 < v < 45 ifv > 45W (v)

30 ifo >v 24 1.25v 18.67V + 62.3 if4 < v < 45 ifv > 45 W (v)



Answers

Simplify. $$ 30 v^{4} w^{3}-12 v^{4} w^{3} $$

In this problem, I can write the given Express an edge 45 the blue minus 63 by W to the power five Multiplication W is square by 30 W minus 42. Now applying the distributive property law, I can I devalue its nine multiplication five w minus seven Multiplication W Square Bye w Square Multiplication W Q. Multiplication six Multiplication five W minus seven. No, just canceling the same terms so I can die the A particular ation edge city by W. Q. Multiplication one by two and on solving, I get the final answer. Age three by toe The Blue Cube.

So whereas to find these two vectors, are there a saga? Nall? Parallel. So first thing we do is gonna check for parallel and multiplied by any number and get its equal W then we know the parallel. Rarely we conceived take V and multiply it by two. D and w are not equal to each other, so they're not parallel. Next thing we're gonna d'oh got product of two and see if it's equal to zero. If it is equal to zero, they are In fact, Aristotle W would have three times six plus negative five times 18/5. This is gonna be called 18 minus 18 which is equal to zero. Since the dot product of two is equal to zero, they are, in fact, forethought.

To over beat plus 1/5 Equals three over W. And what are we solving for here? We're solving for W. Mhm. So I multiplied W. So now I have W. Two Over v. Plus one. Over 5 equals three. I'm going to get um Inside the parentheses be one common fraction. So my common denominator would be the five. So I have to multiply my first fraction Times five. So I would get 10/85. Yes multiplying my second fraction by the over B. Five Equals three. But my w. Out front. So this becomes 10 plus the over the five or five. The oh um so now I can divide both sides by what's in the parentheses. So I get w equals three over 10 plus the over five ft. And we don't like a fraction a fraction. So this is really the same thing as saying three divided by 10 plus the over five. The And do that. We keep the first one the same multiply and flip the 2nd 1 And this is really over one. So 3 times five v. Is 15 V. one times 10 plus b. is 10 plus the so now we have W equals 15 the Over 10 Plus B.

Okay, we're going to find the quantity v minus or B plus five W. So in order to do that, we will first just right V. We had a two by minus three J. But when we write our five W, we're going to be multiplying each of our components by five, giving us five I plus 10 J. So now to find our new vector quantity, we can add our eyes and we can add RJ's, resulting in seven I plus seven J.


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