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Find the equation 0l the plane through (-1,4,2) and containing the line of intersection of the planes 4r-"+z=2 and Zr+y-23 =}...

Question

Find the equation 0l the plane through (-1,4,2) and containing the line of intersection of the planes 4r-"+z=2 and Zr+y-23 =}

Find the equation 0l the plane through (-1,4,2) and containing the line of intersection of the planes 4r-"+z=2 and Zr+y-23 =}



Answers

Find an equation of the line of intersection of the planes $Q$ and $R$ $Q:-x+2 y+z=1 ; R: x+y+z=0$

Were given to it. Questions to X minus Y minus two was That is a go to one and art is explosive. I am places a visible to minus one. We need to find the lines of the place where these two games in Disick it just fine. Directors of the Plains, which is given by in Q officials have expensive one comma, minus one, co minus two and and not one comma one Goma. Why? Let us find it to one common point. Putting There is a photo zero. So I get X minus bicycle to one and express very visible. Duke minus one. Adding the two equations I get to work, Suzie below zero. The former X is equal to zero, and I get by physical do minus one minus x with airport. My by is equal to minus when so we have one point. That is, you don't wanna minus one comma zero. Now we will find in next interception point that this en que into an honor that is, I didn t one minus one minus 211 So we will get the determinant for this I into minus one plus two. My last day in do one less too minus gate. Bruske in do one less when? So this is equal to we get I minus treated. Plus, to get there from my end of interception is one Come on, minus tree coma toe. Now the last step is to find decoration are it is given by ex not combined not from a zed not bless t into a B c will be gives us explored from Mumbai Node Common said no and and will give us a B comma. See, they're just put the values I get are the going to zero minus one comma zero this de run minus c Do so this Give me zero plus t t minus one minus treaty. Andi Hopeless to dia's duty. So they go. My X is equal to t. Why is able to minus one minus stating bridges goto Prudie's mint solution

We have given two equations Que express to wear minus said, is a good one and our explosive I bless their disease doing. We need to find the The questions are there in dissecting to win. Uh, so for that we will find the victors off a Q and R so they are given by profession. So X, y and Zed. So this is one going two for minus one, and we get an out as one number one. So let us find the two woman points for this. So for that, let us put their dizzy below zero. I get decorations is express to y is equal to one on X plus y is equal to one. So this calculated I get my physical do. Zero Andi X is equal to what Now I get why that's one common zero comma zero. So we have to find the victor off in Q into Ener to find the another point. But in the in the section, So this is given by geeky on. We have Victor's as one Tu minus one 11 but so this is equal to I do to President minus J into J into one blessed one plus a into one minus two. The physical do three I minus J minus key. So therefore my one of the point of interception iss three comma minus two minus one. So the question is given by it's not come away, not commas. They're not rusty and do it easy. So were the points off beer doing bags not come away. Not coma. They're not. And points are even by ABC there. That's why in decoration or putting the values our music will do. One comma, zero comma, zero LST and do three minus two minus one. So I get one plus treaty as makes zero minus to D. I get minus 20 zero minus t. I get minus t. So there go X is equal to one treaty rising Goto minus duty as a physical to minus T of the employee in question.

Were given to aggressions. You two weeks minus way less trees at minus one is a good zero and r minus X plus three were blessed. Zed minus pulled out a zero. We need to find the equations richer in dissecting this planes, so we need to find the victors before that. So and he was given by the coefficients of It's Crazy. And similarly, I'm not is given by officials we get and U N and not so. Let us put their physical 20 to find one common point supporting that is 20 I get a question two x minus y Is it going toe one on minus X plus three way physical Do so that the soul them multiply the equation Do as to so what it to works minus pi is equal to one and minus two x plus six way Is it going to need so ending them I get five by usable do night, which implies by easy going toe nine by fine but in the really off by get to works is equal to one last nine by value, which is equal to for Dean divided by by. So they go my X is equal. Do seven by right. So I did 1.7. The great work by 90 weighed with pipe and zero. Now Step two will be toe for finding and you into enough What they will do I d tu minus 13 on my list. 13 n one. This will give you the interception point. This is a Quito the dome, and I do minus one minus night minus j and do two plus three plus K into six minus one. So this is equal to minus 10. I minus by Chip plus bank. So I get in as a deception point minus stand on minus paid from a fight. Sort of finally equal. So define immigration. RT is given by eggs. Not come by. Not Gomez said not bless Dean do in b c. We're points B R x, not y, nor dead nor on the envy. Phoned is even ABC. They're just my foot devalues our is included. You explore by notice seven but by 95 0 rusty into minus day. Minus bite. Right. So this is a Quito seven by by minus 10 D. Goldman nine by five minus Bryant D comma zero plus piety. So this will be 50. So my pine and equations are X is equal to 75 minus sterility. Bicycle to nine by fire minus piety. That is a gold. Oh, writing.

This question. We need to find the question under plan. Just that in going through the origin, so be there. Zero and content the lion. The intersection on the two plans The first plan. Reader experts y less Jews ee coaches zero Does it go live in the next months? Why don't you fall? And now for the first life, we can find a normal one. Really? Go to the car for shooting front of the X y Z Therefore again 112 similarly fund plan to gonna into difficult to know one minus 10 And now, when we cost them again, no more on the plan we're looking for here. And then we get Nico Jew? Uh, yeah, we get, uh, Jew and this woman get Inco attuned, Uh uh, minus doing into hair square and isn't again minus one minus one. They're gonna minus two. Here we can get in on the simple form will be We don't do you find out everything they wanna gonna 11 minus one. And we found, uh, point on a normal better and you cushion under plan becomes, uh, we have that one Times X men is our plus one times Prime Minister Girl minus one times Z minus zero equals you. So we're gonna express No, I'm gonna say equal to zero.


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