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Polnl) FInd non-zero vector $ perpendicular the veclorsJ = | :1 and a-[%]...

Question

Polnl) FInd non-zero vector $ perpendicular the veclorsJ = | :1 and a-[%]

polnl) FInd non-zero vector $ perpendicular the veclors J = | :1 and a-[%]



Answers

In Problems 13 and 14, find a nonzero vector that is perpendicular to both a and $\mathbf{b}$. $$ \mathbf{a}=2 \mathbf{i}+7 \mathbf{j}-4 \mathbf{k}, \mathbf{b}=\mathbf{i}+\mathbf{j}-\mathbf{k} $$

Okay, we're given vector W. As four. I plus one J. So we're going to find a vector that is perpendicular to W. So let's just remember our equation that actually has our co sign of the angle between two vectors in it. Remember perpendicular means 90. So think of the co sign of 90 that equals zero. So if the right side of our equation equals zero, the left side of our equation equals zero. So let's force are dot product to be zero. So I've come up with a new vector that's C. In the I. Direction, in D. In the J. Direction. So I've multiplied my four times C. Plus my one time's D. And I need to force this to equal zero. So one thing I could do is I could make C. One and D. Negative four. I could also make see a negative one and then D. Would have to be a positive for. So I have two options for answers. Um I'll just pick the one comma negative for sector

So two vectors. When we study musical way I cap for six in Jacob and lease will have nine a cup first. Well, Jacob, Nothing of the fighting deck. No value is us that even with Serbia proper Rhodesia so you would not be must be equal of zero since us performed oclock coffee Let tutto beauty and, uh, between you and we So you would our physical review B waas tater 30 ties go 90 degree So you be cause 90 is equal to zero Their horse Here I got the six and she got dot My nakedness, Music, app It's photos You this one place nine and 72 years ago zero these RL minus seven people than nine Musical of minus six Dinner minus eight. Therefore a minus eight forgiven Expect us to be perpendicular to each other

In this question given the letter, Africanist, as I included a do I ministry K, we can register into the Jew zero Ministry and we want to find a better be system. Uh, better be is technology elevator. I hear one option for the baby will be I will Kim da Media Godina coaches zero on now I would inter gender us first on the 3rd 1 So it's again that months three and the Jew here and then we gent this I'm one undercard tonight hand so I would remove the minus for now. And therefore we can very find out that I don't be getting a coach in the jute chemistry plus zero times there are plus minus three times to Then we get negative zero and doesn't implies then that I is on technology be therefore we get Our answer will be this better

In discussion. Where even know that to Manasquan. And we need to fire better number. Been in particular to the given for Thursday were conscious when we die and we need to find a B system. The big prevent declared that I So one option for being here would be we can't inter tend to coordinate now and then we will change. The one of them will be this I'm gonna blame something like this. Could be that becomes the minus 12 And then we will chance the same one arm the coordinates on would be this one and medicine that we can very find it. I don't be equal to the two times one does one time student and we get so doesn't means them that I is but medical it should be so The answer would be one Jew here


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