12. In the following configuration, points A, B, and F are collinear and points E, D, and F are also collinear. Prove that AF EAX CA BF BDxCB E (Apply Menelaus' theorem to AABC) B C D 27

Q: 1. Given the points P(5, 3, - 4) and Q(7 - 1, - 3), find the following: a. the vector PO b. PQl

A:

Q: 3. Construct the perpendicular bisector of GT. G T

A: A perpendicular bisector of line GT

Q: 19. In a coordinate plane, triangle ABC has vertices of A(1,1), B(1,5), and C(5, 1). a Triangle ABC…

A: We have to find point

Q: What property must the set (AU B) have if the statement below is true? [(aff A) U (aff B)] C (AU B)…

A: The given question has been solved below.

Q: 4. Determine the name of the point that meets the given conditions. a) R(A) = R,(C) = b) g R, (D) =…

A: "Since you have asked multiple question, we will solve first question for you. If you want any…

Q: 2. If B is the midpoint of AC, which of the, following must be true? I. АВ + ВС 3D АС II. 2ВС - АС…

A:

Q: Let A = (-1, 6), B = (1, 0), and C = (10, 3). Prove that AABC is a right-angled triangle. Let u =…

A:

Q: Give another name for plane W

A: Plane :— Plane is a 2 - Dimensional space which is named by three Points.

Q: Let A = (1, 1, -1), B = (-3, 2, -2), and C = (2, 2, -4). Prove that ABC is a right-angled triangle.…

A:

Q: Answer this question by considering A(X1,Y1), C(X2,Y2) and B=u+v=(X1+X2,Y1+Y2), and justify your…

A: Step 1: Express the vectors in terms of u and vStep 2: Step 3: Step 4: Since both pairs of opposite…

Q: 6.11. Prove that two reflections s and t commute, that is, st = ts, if and only if their mirrors are…

A:

Q: 5. 6. 7. Which is the best representation of ¢ × ả a) √126 b) √125 c) -5[2, 1, 0] d) [10, 5, 0]…

A:

Q: 8. Let AL, BM, and CN be three concurrent Cevians of AABC. Use Menelaus' theorem to prove that AN BL…

A: Menelaus' theorem says, For transversal lines AFL and BFM.(AF/FL) × (LB/LC)×(CM/MA)=1