distance between P(3, 5, 7) and r= <1+5t, 2-2t, 2+3t>
Professor put this on the test, so I suposse I need to use that?!
So I get that [MATH]v=<5, -2, 3>[/MATH];
[MATH]PQ[/MATH] is [MATH]P(3,5,7)*Q(1, 2, 2)[/MATH]
So I did the determinant and got: [MATH]-19i-19j+19k[/MATH]
So, [MATH]V*PQ[/MATH] do I need to do the determinant or should I just multiply [MATH]<5, -2, 3>*<-19i-19j+19k>[/MATH]?
By doing that, if its right, I got ,[MATH]|(-95i+38j+57k/(sqr38)|[/MATH] where [MATH]|v|= sqr [(5)^2+(-2)^2+(3)^2]= sqr 38[/MATH]
With that, I got [MATH]sqr 13718/|sqr 38|=19[/MATH]
I have no idea, if that was righ, although I got 19.
I tried to find a video or something showing how to do with parametrics, but I can only find with with general or using two points, idk, I have a test in 11h from now, if someone can give me the steps.
I also did another way. Might be right, I'll share.
distance between P(3, 5, 7) and r= <1+5t, 2-2t, 2+3t>
[MATH]A(1, 2, 2) V(5, -2, 3) AP=(3-1, 5-2, 7-3) AP=(2, 3, 5)[/MATH]
[MATH]V.AP=[/MATH] did the determinant and got [MATH]-19i-19j+19k[/MATH]
[MATH]d= sqr [(-19)^2+(-19)^2+(19)^2]/[sqr of (5)^2+(-2)^2+(3)^2][/MATH][MATH]sqr of 1083 / sqr of 38 = 5,33[/MATH]
Is any of that right or on the way, I really need some step by step, don't wanna miss this on my test tomorrow, seems not to be difficult
Professor put this on the test, so I suposse I need to use that?!
So I get that [MATH]v=<5, -2, 3>[/MATH];
[MATH]PQ[/MATH] is [MATH]P(3,5,7)*Q(1, 2, 2)[/MATH]
So I did the determinant and got: [MATH]-19i-19j+19k[/MATH]
So, [MATH]V*PQ[/MATH] do I need to do the determinant or should I just multiply [MATH]<5, -2, 3>*<-19i-19j+19k>[/MATH]?
By doing that, if its right, I got ,[MATH]|(-95i+38j+57k/(sqr38)|[/MATH] where [MATH]|v|= sqr [(5)^2+(-2)^2+(3)^2]= sqr 38[/MATH]
With that, I got [MATH]sqr 13718/|sqr 38|=19[/MATH]
I have no idea, if that was righ, although I got 19.
I tried to find a video or something showing how to do with parametrics, but I can only find with with general or using two points, idk, I have a test in 11h from now, if someone can give me the steps.
I also did another way. Might be right, I'll share.
distance between P(3, 5, 7) and r= <1+5t, 2-2t, 2+3t>
[MATH]A(1, 2, 2) V(5, -2, 3) AP=(3-1, 5-2, 7-3) AP=(2, 3, 5)[/MATH]
[MATH]V.AP=[/MATH] did the determinant and got [MATH]-19i-19j+19k[/MATH]
[MATH]d= sqr [(-19)^2+(-19)^2+(19)^2]/[sqr of (5)^2+(-2)^2+(3)^2][/MATH][MATH]sqr of 1083 / sqr of 38 = 5,33[/MATH]
Is any of that right or on the way, I really need some step by step, don't wanna miss this on my test tomorrow, seems not to be difficult