Calculus Problems...Help? Award At End!

Find parametric equations for the line through (5,1,0) that is perpendicular to the plan 2x - y - z = 1

Question

Calculus Problems...Help? Award At End!

Find parametric equations for the line through (5,1,0) that is perpendicular to the plan 2x - y - z = 1

dan815 · Answer

okay

dan815 · Answer

the plane has the normal line 2,-1,-1

dan815 · Answer

what a perpendicular line to that?

dan815 · Answer

every line on the plane is perpendicular to that normal line

dan815 · Answer

now just write a paremetric equation that passes through the given point and with that slopes 2,-1,-1

dan815 · Answer

r(t)=<2t+5,-t+1,-t>

dan815 · Answer

can you follow?

dan815 · Answer

we can take another approach to finding the normal line if you havent learnt about why the gradient of the plane function is the normal line

dan815 · Answer

line find any 3 points that form 2 independant vectors on your plane and cross them to find a normal line to your plane

dan815 · Answer

like*

anonymous · Answer

Thank you so much! So the answer is r(t)=<2t+5,-t+1,-t>?