How can you tell whether the line x = x0 + tv in R3 is parallel to the plane x = x0 + t1v1 + t2v2 ?

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- February 17th 2013, 01:00 PMCivy71Another whether a line is parallel to a plane?
How can you tell whether the line x = x0 + tv in R3 is parallel to the plane x = x0 + t1v1 + t2v2 ?

- February 17th 2013, 07:05 PMchiroRe: Another whether a line is parallel to a plane?
Hey Civy71.

Hint: If a line lies on a plane then the line will be perpendicular to the plane normal. - February 17th 2013, 07:12 PMPlatoRe: Another whether a line is parallel to a plane?
- February 18th 2013, 06:28 AMCivy71Re: Another whether a line is parallel to a plane?
yes, it equals 0

- February 18th 2013, 06:48 AMPlatoRe: Another whether a line is parallel to a plane?
- February 18th 2013, 09:41 AMjohngRe: Another whether a line is parallel to a plane?
Here's another way to view the solution, purely algebraic.

Attachment 27114 - February 18th 2013, 10:28 AMHartlwRe: Another whether a line is parallel to a plane?