please help me through these questions for a area of a rectangle In this problem, we'll...
A is the point (-1, 5). Let (x, y) be any point on the line y = 3x. a Write an equation in terms of x for the distance between (x, y) and A(-1,5). b Find the coordinates of the two points, B and C, on the line y = 3x which are a distance of √74 from (-1,5). c Find the equation of the line l1 that is perpendicular to y = 3x and goes through the point (-1,5). d Find the coordinates...
41,43,45 41. Write an equation for a line parallel to f(x)= -5x – 3 and passing through the point (2,-12) 42. Write an equation for a line parallel to g(x)= 3x -1 and passing through the point (4,9) 43. Write an equation for a line perpendicular to h(t)=–2t+4 and passing through the point (-4,-1) 44. Write an equation for a line perpendicular to p(t) = 3t + 4 and passing through the point (3,1) 45. Find the point at which...
hlep me these 2 t, 3- 3 and (-2r, 3-, ) 11.) Determine the point of intersection of the lines Note:4,1,2, with (1,2/3,-1)^k(-2.-1,1)=kv;, for any kER. So .1,. Change one of the parameters to s, then equate the corresponding coordinates of the lines and solve for t, and s. substitute the values of t, and s in their respective lines to get the required point. Locate the point of intersection of the plane 2x+ y-z-0 and the line through (3,1,0)...
Find the equation of the line passing through the point (1,2,4) and perpendicular to the plane x−y + z = 3
Find the equation of the line passing through the point (1,2,3), and perpendicular to the plane x + y + z = 6.
can someone please help me with this question 9.1 3.2 Determine the area of the triang in 2-space determined by and e area of the triangle formed by joining two opposite vertices of the parallelogram QUESTION 7 through the points (2,0, -1) and (3.1.1). and use li is the line in R that pass is the line in R defined by ER (1.7.2) = (2. 1. 2) + +(1,0,1). Suppose V is the plane in R defined by -2-y-22=2. 9.1...
Using MATLAB Please Write a MATLAB function that takes coord natos of four points as inputs and returns the coord nates of ntersection of the line passing through ooints 1 and 2 and the line passing through points 3 and 4. For function name and inout arguments, use: P line_int(P1, P2, P3, P4) The function should be able to handle row or column vector entries. This function will use a sub-function called line_eq. This sub-function takes coordinates of two points...
(1) (a) Find the equation of the line, Li, which passes through the points A : (4,y,z) = (0, -5, -3) and B : (x, y, z)=(3, 1,0). (b) Find the equation of the line, Ly, which passes through the points C:(x, y, z)=(-1, -3,2) and D: (x,y,z) = (4,3,6). (c) Show that L and Ly are not parallel lines. (d) Write the parametric equations for L, and L2, and then show that the lines Li and L2 do not...
Find the line through (9, 1, −6) that intersects and is perpendicular to the line x = −1 + t, y = −3 + t, z = −1 + t. (HINT: If (x0, y0, z0) is the point of intersection, find its coordinates. Enter your answers as a comma-separated list of equations.)
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...