Please help solve this while providing a detailed solution
Please help solve this while providing a detailed solution Given three points A = (0, -8,10),...
please anyone answer all the questions as soon please 2 4 3 3 4 1. Given three points A = (0,–8, 10), B = (2, -5, 11), C = (-4,-9, 7) in R3. (a) Show that these three points are not collinear (not in a straight line). (b) Find the area of the triangle ABC. (c) Find the scalar equation of the plane containing the points A, B and C. (d) Find a point D on the plane such that...
Please help solve this while providing a detailed solution = Given vectors ū = (-9, -1, -6]T, ū [10, 2, 7]T E R3. Determine whether the vector [7,-1,4]T is in span{ū, v}. If the vector is in the span then express it as a linear combination of ū, ū. 7 - .
Please help solve while providing a detailed solution. Being given the following information, use the equations provided to find the steady-state current in the following RLC circuit. R=82 L= 0.5H C= 0.1F E(t) = 100 cos(2t) V knowing that at t = 0, i(0) = 0 Equations: UR = Ri VL = = L- di 9 Uci dt С VR + V1 + Vc = e(t) or =V (if the source voltage is constant) dq duc i= = C- q=ſidt...
2. (5 points) (a) Find a vector perpendicular to the plane through the points A(0, -2,0), B(4,1, -2) and C(5,3,1). (b) Find an equation of the plane through the points A, B, and C. (b) Find the area of the triangle ABC.
2. (5 points) (a) Find a vector perpendicular to the plane through the points A(0, -2,0), B(4,1, -2) and C(5,3,1). (b) Find an equation of the plane through the points A, B, and C. (b) Find the area of the triangle ABC.
(3) 9. (a) Let (21,91,2), B(22,92,-2),(3,3,3) be three non-collinear points in that is, three points which do not all lie on a straight line. Then the equations of the plane through these three points is: 30 Iii 0 12 32 22 3 Page 1 2 (b) Find the equation of the plane through (1,2,2), B(1,2-1), B(0,1,2)
Could someone please help me with this exercise a) to f) Thanks 3) Answer the questions below carefully. Provide any relevant sketches. a) Pick three points in the first quadrant with six distinct coordinates. b) Find the equation for each side of the triangle. Label them fog and h. c) Use three definite integrals to find the area of the triangle. d) Verify your result from part (c) using a method other than calculus. e) Verify your result from part...
Could you please help me by providing an accurate and detailed worked solution for the following question. Please only answer if you have neat and easy to read hand writing and are 100% sure you can solve the problem and get the correct answer. I will leave feedback that reflects the quality and effort you put into the response. Thank you. A solid is bcunded -above by the funchon Cooy)360c exp (3cy), :0 and x= 1 and belon by me...
Q1. Given the points A: (0,0,2), B: (3,0,2), C: (1,2,1), and D: (2, 1,4 a) Find the cross product v - AB x AC. b) Find the equation of the plane P containing the triangle with vertices A, B, and C c) Find u the unit normal vector to P with direction v d) Find the component of AD over u and the angle between AD and u, then calculate the volume of the parallelepiped with edges AB, AC, AD...
Given in space the points A(4,7,1), B(2,1,3), and c(0,-1,2) The vectors ū = AB , and ✓ = AC a. (9%) Find ū. v , ū x ū , proj, u b. (3%) Find the area of triangle ABC. c. (3 %) Find the parametric equation of line (AB). d. (3 %) Find the distance from point C to the line (AB). e. (3 %) Find the equation of the plane (ABC). A relatively easy way of getting into international...