finding parametric equations through a point and perpendicular to a plane ex find the equation of a plane given an orthogonal line parametric and a point ex find the parametric equations of a line perpendicular to a plane through a point you a find parametric equations for the line through 1 2 6 finding parametric equations passing through two points ex 2 find the parametric equations of the line of intersection of two planes using vectors you the doent ex find the parametric equations of a line in space given two points on the line you write vector equation of line perpendicular to yz plane or parallel to y axis 1 1 5 10 find parametric equations and symmetric equations for the line line geometry k a plane and a line are either intersect or are parallel a plane defined via vectors perpendicular to a normal thomas calculus 12th edition textbook 453 764 pages 201 250 text version fliphtml5 parametric equations for the line of intersection of two planes kristakingmath you parallel lines from equation example 3 ytic geometry khan academy 008370871 1 91077b5ea8fac7fe9a4c52b0b653913c png now if we let n a b c n a b c then since p0p p 0 p is perpendicular to n n we have applet distance from point to plane distance between a point and a line or plane thomas calculus 12th edition textbook 453 764 image titled find the equation of a line step 6 let s look at a couple of additional examples before moving on to lines and planes in r3 2 find the equation toric sections the torus plane intersection simulation with geogebra finding the equation of a plane from three points find vector parallel line whose cartesian equations find unit vector perpendicular plane c q parametric equationotion concept the doent aaron becker parametric equation of a circle in 3d parametric equations of line passing through a point so we must solve x y 1 x 2y 1 the then solve the linear system of 3 planes using the above formula