5.) Find the equation for the plane containing the points P (5,1,4), 0 (5.312), R (1,-2,2)...
Question 8 Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. sin 20 Tangent Plane: z= ? Edit Normal Line: x(t) = ? Edit ) = Edit z(t) = 1 - 1 MapleNet
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...
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
Question 8 Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. Р 14 Tangent Plane: z= Edit Normal Line: X(t) = ? Edit y(t) = Edit z(t) = 1-t
ILI UU Q3 (8 points) Find general equation of the plane containing the following two lines C: y =24+1 t +3 5+2 and = 24 L : y = -2 25t-1 + Drag and drop your files or Click to browse Q4 (8 points) (a) Find parametric equations of the line passing through the point A(S. -2,9) and perpendicular to the plane 32 - y - 63 + 2 = 0. (b) Find two planes that intersect along the line...
Question 8 Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. Z= =e&y sin 8x: P 16 P G6,0,1) Tangent Plane: z = ? Edit Normal Line: X(t) = 2 Edit yt) = Edit z(1) = 1-1
(1 pt) Find a vector equation for the line through the point P = (1, -2, 3) and parallel to the vector v = (-3, 2, -3). Assume r(0) = li – 2 + 3k and that v is the velocity vector of the line.. r(t) = i + j+ Rewrite this in terms of the parametric equations for the line. X < N
3. (5 points) (a): Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x=etcost, yr etsint, z=et; (1,0,1) (b): Find the unit tangent vector T, the principal unit normal N, and the curvature k for the space curve, r(t) =< 3 sint, 3 cost, 4t >.
2. Let A:(-1,1,-1), B:(2,0.2), C:(4.1.-3), and D:(-3, 1, 10) be points in R. (a) Find the angles (in degrees) of the triangle with vertices A, B and C. (b) Find an equation of the plane passing through the points A, B, and C. (c) Find two unit vectors perpendicular the plane through A, B, and C. (d) Find the volume of the tetrahedron with vertices A, B, C, D. 3. (a) Find an equation of the tangent line to the...
Find the derivative, r'(t), of the vector function. r(t) = eti- j+ln(1 + 7t)k r'(t) = Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. T = 5e, y = te, c = tetp:/5, 0, 0) x(t), y(t), z(t) =