Find parametric equations of the plane that passes through the origin and has normal vector (3, 1, −6).
Find parametric equations of the plane that passes through the origin and has normal vector (3,...
Question 4 6-69) Consider the following three points: a-0 b-3and c-1 a) Find the parametric vector equation of the plane which passes through these three [3 marks] b) Find the vector cartesian equation of the plane passing through the three points listed [2 marks] c) Hence, or otherwise, find the non-vector cartesian equation of the plane passing through 3 marks] points above. the points above. Question 4 6-69) Consider the following three points: a-0 b-3and c-1 a) Find the parametric...
Find the normal form of the equation of the plane that passes through Find the vector form of the equation of the line in ℝ2 that passes through P = (5, −2) and is parallel to the line with general equation 5x − 4y = 2.
(a). Find the equation of the plane through Po = (1,2,1) with normal vector i = (3,1,2) (b). Find the equation of a plane through Po = (2,3,1) and parallel to the plane P:3x + 2y -- z = 4 | Q4. Consider the line z-3 y-2 3 L, : * - - - L2: **** 2+5 y-3 -1 2 (i). Write the equations of both lines in parametric form (ii). Find the direction vectors V1, V2 of the lines...
Find an equation of the tangent plane and parametric equations of the normal line to the surface ?? − ?? 3 + ?? 2 = 2 at the point ?(−1, −1, 2).
Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. x2 – xyz = 228; P(-6,8,4) Equation for the tangent plane: Edit Parametric equations for the normal line to the surface at the point P: Edit Edit z = 4 + 481
(1 point) (A) Find the parametric equations for the line through the point P = (-4, 4, 3) that is perpendicular to the plane 4.0 - 4y - 4x=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. (B) At what point Q does this line intersect the yz-plane? Q=(
(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?
Linear Algebra Problem 4: Given the normal vector n - 2 determine the matrix of the projection linear map through the plane (passing through the origin) which has n as a normal vector. Problem 5: Given the normal vector n = linear map through the plane (passing through the origin) which has n as a normal vector. V14' V14 V14 (#าพื้าพื้) determine the matrix of the reflection V14' V14 v14 Problem 4: Given the normal vector n - 2 determine...
Find sets of parametric equations and symmetric equations of the line that passes through the two points (if possible). (For each line, write the direction numbers as integers.) (5. -3, -2). (a) parametric equations (Enter your answers as a comma-separated list.) (b) symmetric equations XY 2+2 17 9 5-x 17 11 x-5 y - 3 15 11 2+2 9 5- X 17 Y = 2+2 9 Find f and fu, and evaluate each at the given point. y! f(x, y)...
24. Find the parametric and symmetric equations of the line that passes through the point (2, 1,-3) and is perpendicular to the planex+2y+2- 13. 14 marks] 25. Find the following quantities: 14 marks] a. (1+2)8- 5-5 b 23 (52 -1+i