hlep me these 2 t, 3- 3 and (-2r, 3-, ) 11.) Determine the point of...
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...
Solve the following problems. Submit the written solution and a GeoGebra file. A. Determine a vector equation for the plane that contains the following two lines. 11:r = (2,4,-2) + t(1,-1,3), t E R 12:7 = (2, 4,-2) + s(3, 2,-2),s E R (2,4,-2)+11 ',-1,5) +S(5,2,-2) か B. Find the angle between these lines. C. Determine the corresponding Cartesian equation of this plane. D. Determine the distance between point Q(2,2,-1) and Line 1. E. Determine the coordinates of the point...
please help me through these questions for a area of a rectangle In this problem, we'll walk through the steps to find the area of the rectangle bounded by: The line f(x) = 3z + 8 The line g(x) parallel to f(x) passing through the point(0,3) The line h(z) perpendicular to f(z) passing through (26,0) The line j(x) perpendicular to f(x) passing through (0,8) bility a) Find the equation for the line g(x) 9(z) = Preview b) Find the equation...
Please provide clear handwritings for answers and specific step by step explanations of questions 3 and 4. Thank you. 3. Are the plane 6z 3y - 4z-12 and line L 2, y 32t, z2-2t parallel? If so, find the distance between them. If they are not parallel, but are intersecting (at a single point), find the point of intersection. If they are none of the above, draw a cat. 4. The line r(t) = 〈1, 1,1〉 +t(1,3,-1) and the plane...
3. (14 points) Given the lines: 21:2(t) = -3t – 1, y(t) = 2t +4, z(t) =t+4 12: x(u) = 5 - 3u, y(u) = u +1, (u) = u +2 1. Determine whether li and ly are parallel, skew or intersect. If the lines intersect, find the point of intersection of li and 12. 2. If the lines intersect or are parallel, give an equation for the plane which contains both lines. If the lines are skew, find a...
1. 2. Find an equation for the plane that is perpendicular to the plane 2.1 + y + 2z = 1 and contains the line Lor=2+t, y = 1+ 4t, z = 1+ 4t. Find the equation of the tangent plane to the surface 2z - 12 = 0 at the point (2,0,2).
Question 2 (5%). Let L be a line in 3D such that it is perpendicular to the plane X - Y - z = 1. Choose the correct answer for vectors which are perpendicular to L. (A) All normal vectors of the plane X – Y – z = 10. (B) All normal vectors of the plane x + 2y + 3z = 3. (C) All vectors parallel to the line (-1,-1,1) ++(-1,-1,1). (D) All vectors parallel to the line...
(1 point) Find the point of intersection of the two linesh : x = 〈10, 18, 3〉 + t 〈4-k-2) and 12 : X = 〈 18, 19, 20) + t 〈 Intersection point: 4, 0-5) (1 point) The plane π is defined by the vector-parametric equation π : x(s, 1-(1,-8,6) + s 〈-1,-4,-3〉 + 1 〈3,-4,0). Find an equation for π in general form Plane equation (1 point) Find the point of intersection of the two linesh : x...
1) Show that two lines are skew x+1 y+2 z+3 4:x=y=z and L: +7=5 2) Find the general equation of the plane containing the point P (1,2,3 ) and L, . 3) Find the point Q-the point of intersection the plane found in 2) and the line L. 4) Find the distance from the point (1,-1,2) to the line Lą.
could someone please hlep me to solve this Ex?? Exercise 5- Space group Imm2 Below, there is the representation of the Imm2 space group. The projections are in the (001) plane with the symmetry operations on the one hand and the general positions of the space group on the other hand. a 1-What is the crystal system, the Bravais lattice and the point group of this space group (SG)? 2- Name an give the direction of the point symmetry operations...