1. Given parallelogram ABCD, F is a point on BC, E is the intersection of DF and AB. Prove that FCD ~ FBE

Q: Determine the accuracy of the statements given below. X = 1- 2t I: x+ 2y+ 2z = 3 plane and y = 2+ 3t…

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Q: 2x - 3y 1₂ 3x + 6y - 2x − 3y = 0, 2x − 3y = 8, 3x + 6y = 1, 3x + 6y = 5. Give the exact answer. Find…

A: The parallelogram is enclosed by the lines 2x-3y=0, 2x-3y=8, 3x+6y=1, 3x+6y=5. We have to find…

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE ACBE "AE CE…

A: topic - congruence of triangles

Q: -7) 2) (3,-2) EXERCISE-2 (LOCUS) LEVEL-I us of the point, the sum of whose distances from the…

A: The Locus of the point, the sum of whose distances from the coordinate axes is 9 is Explanation:…

Q: 4! find lim, B4,-2) S x approachesto I from postve direction.

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Q: 1.Use vector methods to show that the diagonals of a parallelogram bisect each other. 2.Let…

A: We have to prove That Diagonals of a parallelogram bisect each other.

Q: 1. Given the vectors Q = (3, - 2,-1) and R= (2,4,3), determine a) The projection of Q along R. b)…

A: Solution: The objective is to find the smallest angle of the given vectors

Q: The distance between the line P(t) = (-4,-3,-5) +t(1,0, 2) %3D and the line Q(t) = (-3, -4,0) +t (2,…

A: The vector equation of a line passing through a point with position vector a1→ and parallel to a…

Q: 8 Consider the following three points: A(1, 2, -3), B(3, 5, -2) and C(m, 1,-10m). Determine m so…

A: I am attaching image so that you understand each and every step.

Q: Show that the lines L₁ : x = 1 -t, y = 2t, z = 5 + t and L₂: x=1+3t, y = 3-6t, z = 5-3t are parallel…

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Q: A(-3, 2), В(5, — 4), С(7, 7)

A: Consider the given points,  Now, prove that C is on the perpendicular bisector of segment…

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

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Q: Suppose that u and v are vectors in R7 both of length 2√2 and that the length of u - v is also²√².…

A: Solution :

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

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Q: 7. Given three point A(1, 1, 3), B(-14, 4, 21) and C(-4, 2, 9), a) use a vector method to show that…

A: We have to solve given Questions.

Q: Suppose that OABC is a parallelogram. Let M be the midpoint of OA and let P be the point of…

A: 1st we will draw diagram of the given situation and then find position of P using section formula…

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: Prove that C is on the perpendicular bisector of segment AB.

A: Solution:Given A(-4,-3), B(6,1) and C (5,-11)To Prove: C is perpendicular bisector of ABi.e., to…

Q: Hi, parts a) and b) of this question are attached.    Thanks so much!!!

A: The problem concerns the distance and angle functions in the complex plane (the set of all complex…

Q: Take any quadrilateral with vertices A, B, C and D. Let P, Q, R and S be the middle points of its…

A: Step 1 Step 2 Step 3 : Step 4

Q: Q-3: a) i. Is (9,0,9) in W? Justify your answer. ii. Is W = R³? Justify your answer. Let W =…

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Q: If the position vectors of the points A, B, C, D are a = i +j+k, b = 2i+ 3j, c = 3i+ 5j – 2k, d= k –…

A: The position vectors of points A, B, C and D are a=i+j+k,  b=2i+3j,  c=3i+5j-2k  &  d=k-j. Now…

Q: (1.3) 8ymmihic trom of the line ,& . A180 find its general form. (1i4) check which þair of planes…

A: Given lines are, π1:2x-y+z=6π2:x+y+2z=3π3:3x-4y+5z=10π4:2x-y+z=3π5:x-3y+2z=1

Q: 14) 13) 5x + 2 3x 24 16) XM = 11 MZ = 2x - 5 15) HD= 24 FD = 13x – 4 E W

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 1. The vertices of a triangle are located at A(4,1, –3), B(-2,5,4) and C(0, 1, 6). Using vector…

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Q: Question *

A: We know that, In a rectangle the diagonals bisect each other at intersection point.

Q: Given the points O(0,0), A (-15, -9), and B(12,-20), are re OA and OBbperpendicular?

A: Given, O(0,0) , A(-15,-9) and B(12,-20)