find-mathbfamathbfb-2-mathbfa3-mathbfbmathbfa-and-mathbfa-mathbfb-mathbfa2-44-quad-mathbfb02-1

Question

Find $$\mathbf{a}+\mathbf{b}, 2 \mathbf{a}+3 \mathbf{b},|\mathbf{a}|, and |\mathbf{a}-\mathbf{b}|$$
$$\mathbf{a}=[2,-4,4], \quad \mathbf{b}=[0,2,-1]$$

Fuzail Shakir · Accepted Answer

Okay, so for this question, we have a is equal to two negative for four. B is equal to zero to native 10 to negative one. So a plus B A plus B is equal to two plus zero. That&#x27;s too negative. Four plus two. It&#x27;s negative to four minus one that is three to a plus three feet to a plus. Three B is equal to, uh, well. It&#x27;s four plus zero negative. Eight plus six eight minus three sore. Final answer is four negative to five magnitude of a is the square root off to swear plus four squared plus four square so that it&#x27;s equal to the square root of 36 which is just equal to six. Then we have the magnitude of a minus bees. A minus B is equal to the magnitude of the square root of two square that&#x27;s four plus six square. That&#x27;s 36 plus five square that&#x27;s 25. This is equal to the square root of 65

Fuzail Shakir · Answer

Okay, So is for one. Be is one negative two to a plus B is four plus one and then one plus negative, too. Right. Then you have to A plus three B to a plus. Three feet is too. So to a is eight. Cover one. Right. So eight, come off. +13 V is one. I&#x27;m a negative six. Our final answer is 11 from a negative fires. That&#x27;s our natives. Uh, big stuff tonight. Yeah, this negative four. Okay, then the magnitude of a is the square root off four squared, plus one square square, rich of 16 plus once of the square roots of 17. And then finally we have a minus V, which is equal to four minus one comma, one minus negative tubes. That&#x27;s one plus two. So it&#x27;s three from a, uh three.

Shamshad Waris · Answer

even better The original before I can get A and B because I get Jacob. How can people there, Victor a plus B so big, shapeless beat. And with I kept very that I can&#x27;t marry the one I get. So 1,000,000,000 I get And one day get my jacket. So one take at minus minus. Jake it So this is that a plus B now welcome people Who a plus TV. So multiply too. Must be prospector who were so the multi library Who with better it didn&#x27;t get here it I get less. Who, Jake it now less than here The plus like any with better be didn&#x27;t get TV I kept my mouth six dig Now I I kept If I get plus TV I gave it a living I get But let&#x27;s do Jay get minus six Jake, it will get minus pole. Jacob. So this is that you will bless. Be nine can build a model. Better it. So the model victor a tender dunder Because I So the question I I pulled so the police padlocks competent of b j 81. So the oneness square then we&#x27;ll get there was by 16 plus one. So 16 plus a one is 70. So the model a jingle do Internet seven. Now we&#x27;ll compute Ben. What marked off came and if so possibly come through a man s idiot so that it&#x27;s a click for I kept minus I get so the poor I kept menace I get the TV and you So you get pity I get no get minus minus, minus, minus. Here less So one plus who is TV so TV dick appear less city Gig it now end up Take the magnitude about this big in this by the vision of ice over competent of eyes td So tedious You can also say that that component off iced tea and from out of days TV certificates so tedious squared is nine lows tonight. Then you get that. I&#x27;m not getting valuable in our village. He grew Who? So this is a big job. Many judo better It minus better be. Thank you

Shamshad Waris · Answer

I&#x27;ve go minister with and be jiggle manatee. Momentous I must do. You can&#x27;t be here. Maybe law maker A plus B So the victor age I am not well less on better be my pick among minus six. No, en that I my hefty here didn&#x27;t get I my left TV and you will find that six. So you get who and there we get sick so that a less beat. Now I can feel Victor, do you have a blessed? So who is a I? Come on, my next will. He&#x27;s my next TV minus six Velvet light with five with five minus. So like I inherited Get bail Going to mine after mine and one people plus TV into my activity in man is mine and td minus six in minus. It&#x27;s no air. Get in minus nine My next one before minus 80. So did manage nineties. While we&#x27;re here, you are in my passport before my next it didn&#x27;t eat minus Or did you, Richard, that you were blessed taking now will compute that models It took about it the more mortal Mr A I Come on. My next is your questions. Who cannot I guess where plus minus to get is square. So here again would be fine plus 1,000,000 square one for people who don&#x27;t defy +14 people eat 1 69 And this pilot about 1 69 started. So the model a local opinion Next, One more a minus bi so fast. Will capital a minus need to a be? I am a manager with minus valuable B minus typical ah, minus six. Not a step back from the winter is because then you get teary minus dating my displeasure of TV plus I plus d j minus to get a minus minutes. Pleasure. My frustration behind us. Fix it. Nothing that mortal but this It&#x27;s quite plus six. Well, they love it describing sick people and the value of minus chickens by campy six 60 Purple escapee sixties under. So this 500 days beginning. So the model eminence be Jiggle it. Thank you

Carson Merrill · Answer

for the given problem, we want to find A plus B. For a plus to be absolute value of A or the magnitude of A and the magnitude of a minus B. So A plus B is going to be If we have negative 34 as are A. And we know that be Is equal to 9 -1 with vector edition. How it works is that we just add the components together. So we&#x27;re going to add our components and we&#x27;re going to get six three and that will be our answer. And then we can also look at um since for a place to be is very similar um let&#x27;s look at the magnitude because how you do magnitude as you take the component squared plus the other component squared. So we&#x27;ll get a negative three square that&#x27;s nine Plus the other component squared. four square to 16. So we get the square root of 9-plus 16. That&#x27;s the square root of 25. So our final answer is going to equal five.

Carson Merrill · Answer

for the given problem, we want to evaluate to some of the factors knowing that vector A is going to be 8 1 -4 And the B vector is going to be 5 -2, 1 with some of these vectors. If we do A plus B, okay, is going to be the component added together. So eight plus 5 13, 1 minus two, negative one and negative four plus one negative three. Then we want to find the magnitude of a. So magnitude of A is going to be the square root of eight squared, which is 64 Plus one Squared, which is one Um plus a negative 4th grade, which is 16. That takes us to 81 squared of 81 we know is nine. So that&#x27;s the magnitude and this is the final answer.

Problem

19-21 Find a unit vector that has the same direct…

Problem 18 Hard Difficulty

Find $$\mathbf{a}+\mathbf{b}, 2 \mathbf{a}+3 \mathbf{b},|\mathbf{a}|, and |\mathbf{a}-\mathbf{b}|$$
$$\mathbf{a}=[2,-4,4], \quad \mathbf{b}=[0,2,-1]$$

Answer

$a+b=[2,-2,3]$
$2 a+3 b=[4,-2,5]$
$|a|=\sqrt{36}=6$
$|a-b|=\sqrt{2^{2}+(-6)^{2}+(5)^{2}}=\sqrt{65}$

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James Stewart

Biocalculus Calculus for the Life Sciences

Anna Marie V.

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Vectors Intro

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$a+b=[2,-2,3]$$2 a+3 b=[4,-2,5]$$|a|=\sqrt{36}=6$$|a-b|=\sqrt{2^{2}+(-6)^{2}+(5)^{2}}=\sqrt{65}$

Biocalculus Calculus for the Life Sciences

Anna Marie V.

Kayleah T.

Samuel H.

Joseph L.

Vectors Intro

Vector Basics - Example 1

James StewartBiocalculus Calculus for the Life Sciences

Anna Marie V.

Kayleah T.

Samuel H.

Joseph L.

$a+b=[2,-2,3]$
$2 a+3 b=[4,-2,5]$
$|a|=\sqrt{36}=6$
$|a-b|=\sqrt{2^{2}+(-6)^{2}+(5)^{2}}=\sqrt{65}$

James Stewart

Biocalculus Calculus for the Life Sciences