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

Answer 1

okay

Answer 2

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

Answer 3

what a perpendicular line to that?

Answer 4

every line on the plane is perpendicular to that normal line

Answer 5

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

Answer 6

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

Answer 7

can you follow?

Answer 8

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

Answer 9

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

Answer 10

like*

Answer 11

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