Recent content by sawdee

Yes sorry, that 4x is supposed to be 4z! So you mean solve for each component (x,y,z) of the first plane equation and use those 3 points as in the intercepting points?

Hmm that does make sense, however the question still asks for the three forms of the line of intersection (parametric, vector and Cartesian). Do i simply write there are infinite solutions, or is there a way to find one?

In terms of that, how can I solve for the question? Is there a way to find this parallel point of intersection?

I think this is exactly what he wanted, thank you!

How can I find the line of intersection between the planes 2x-y+2x+1=0 and -4x+2y-4x-2=0 I realize these are parallel as they are multiples of each other, but I'm not sure how to solve for the point. I also have to convert this line into parametric, cartesian and vector form. Sorry for the...

Awesome thank you so much!

Thank you! :) Happy to be here. I picked that solution as well, but in terms of format I'm not sure how to set up the answer. Should I use a matrix with those 4 as my x values, and leave everything else as 0?

I know how to solve systems, but the question asks to work backwards. "Create a 4-d system that has a solution (-2,5,-6,1)." How would i do this?

Ok! so the no solution trumps over the infinitely many solutions?

I've actually managed to solve for the first two systems, however I'm stumped on the third one. I'll do my best to write it out here: 2x-y+2x =-1 -4x+2y-4z =2 6x-3y+6z =-1 I managed to bring this down to: 2x-y+2z =-1 0x+0y+0z = 0 6x-3y+6z =-1 This would imply that the system has infinitely...

Stuck on the last 3 systems on my worksheet, if someone could give me more than just the answer but also teach me how, it would be much appreciated! "Determine the nature of the intersection if it exists) between the following sets of planes. If it is a line, find the equation of it. If it is a...

I've done a question similar to this, however this one has no complete equations i can solve for. Determine the equation of the plane that passes through (1,3,8) and is perpendicular to the line of intersection of the planes 3x−2z+1=0 and 4x+3y+7=0. I know to take the cross product of the two...