2. (10 points) Starting with the vector parameterization, find the parametric equations of the line passing...
1. Find a vector equation and parametric equations for a line passing through (-1,2,3) in the direction of Ŭ = i + 21 – R.
Q4 (8 points) (a) Find parametric equations to the line passing through the point A(5,-2,9) and perpendicular to the plane 3x - y - 6x + 2 = 0 (b) Find two planes that intersect along the line.
Q4 (8 points) (a) Find parametric equations of the line passing through the point A(5,-2,9) and perpendicular to the plane 33 - Y --- 62 +2 = 0. (b) Find two planes that intersect along the line
Q4 (8 points) (a) Find parametric equations of the line passing through the point A(5,-2,9) and perpendicular to the plane 3.x - y-6z+ 2 = 0. (b) Find two planes that intersect along the line.
please answer both (12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0 (12(8 pts) Find parametric equations of the line through the point (2,...
2. Find a vector equation and parametric equations for the line segment that joins P to Q: P(-2, 4,0), Q(6,-1,2)
(1 pt) (A) Find the parametric equations for the line through the point P = (2, 3, 4) that is perpendicular to the plane 2x + 1 y + 3z 1 . Use 't', as your variable, t 0 should correspond to P, and the velocity vector of the line should be the same as the standard normal vector of the plane. X= y- (B) At what point Q does this line intersect the yz-plane?
PARAMETRIC EQUATIONS CAN YOU EXPLAIN WITH ALL DETAILS THANK YOU. Q1 10 Points Consider the line l : 771 = y2 = 0 Q1.1 5 Points Find A, B, C and D where Ax + By + Cz + D = 0 is an equation of the plane containing l and passing through the point (1,1,0). Q1.2 5 Points Find the parametric equations of the line which is contained in the plane x + y + 2z = 2, and...
vi) The points A and B in R3 have position vectors a) Find a parametric vector equation of the line I passing through A and B b) Hence find a point P on the line such that the sum of the z, y and ะ coordinates of P is equal to 62.
Find a parameterization for the line segment joining points (0,2) and (4,0) using the angle o in the figure to the right as the parameter. 2 (x,y) . Find parametric equations for the particle's motion along the line segment joining points (0,2) and (4,0), not including these points. X= y =