Calculus and vectors (LINEAR SYSTEMS)

Please show all work leading to answer

9 Write a vector equation for a line given each direction vector m and point Po a ) m = [ - 3 , 1 , 57 , Po ( 6 , 9 , - 3 ) 6 ) m = [ 2 , 3 , - 4 ] , Po ( 9 , - 7 , 4 ) write the vector equation of thelike that passes through each pair of points. a ) A ( - 3, 2 , 5 ) , B ( 9 , - 6, 3 ) b ) A ( 8 , - 6 , 4 ) , B ( 1 , 2 , 3 )Which of the following points lies on the like x = 2t , y = 3+t Show your work. P ( 2, 4, 2 ) Q ( - 2, 2, 1 ) R ( 4 , 5 , 2 ) 5 ( 6, 6, 2)12) Find The vector, parametric & symmetric equations. of the like that passes through P. and direction vector d. Po (2, 4, 6 ), d = ( -1, - 3, 2 ) - 4 , - 613 Does the point (4, 5, - 3) lie in the plane blase 1 = ( 4 , 1 , 6 ) + 1 ( 3 , - 2 , 1 ) + 8 ( - 6, 6, - 1 ) ? Show your work including the parametric equations for the plane.