Find parametric eq for a line with point and plane

[marquitos]

Find parametric equations for the line through Po=(3,-1,1) perpendicular to the plane 3x+5y-7z=29.


Hey guys I am slightly confused on where to even start on this one the only way i can think about doing it would be finding two other coordinates on the and then taking the cross product of the two vectors but honestly I am not really sure how to obtain the other two points either. So any help would be nice i might just be over thinking it. Thank you.

 

[dangish]

well i would go,

|x|...|3| ...|3|
|y|= |-1|+t|5|
|z|...|-1| ..|-7|

then you have x = 3+3t , y= -1+5t, and z = -1-7t

is this of any help?

 

[LCKurtz]

Find parametric equations for the line through Po=(3,-1,1) perpendicular to the plane 3x+5y-7z=29.


Hey guys I am slightly confused on where to even start on this one the only way i can think about doing it would be finding two other coordinates on the and then taking the cross product of the two vectors but honestly I am not really sure how to obtain the other two points either. So any help would be nice i might just be over thinking it. Thank you.

Remember that the normal to the plane (which is obvous, no?) will do for a direction vector for the line.