Prove that the kite's diagonals are perpendicular. Illustrate and show full solutions

Q: Let P(-2,–2,0), P,(1,0,–2), and P,(0, –4,–3) are three points of a triangle, Compute the vectors of…

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Q: 5[(-3 x 7) + 3°] + 4 is equal to: a. 15 O b. -29,156 O c. 34 O d. -74

A: To find  The value of  5[(-3*7)+3^3]+4

Q: (a) Find the direction angles for the vector ỉ =AB ỉ +CD j +EF k. "Example if A=5 and B=7 so AB=57."…

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Q: A line contains the point P(2, 4, 2). Point Q(6, 0, 4) is not on the line. The angle made with the…

A: We sketch the situation roughly. Distance between P and Q is:

Q: A parallelogram is determined by the vectors = (-2, 5) and 7= (3, 2). Determine the angle between…

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Q: Given vectors a=-37-9)andy=-12t-13, find vector x

A: We need to obtain the difference of the two vectors.

Q: Determine whether the lines h and I, intersect, are parallel, or are skew. 1: n= 4i+3j+ (i-j+6k) 12:…

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Q: Quadrilateral PQRS is shown. 4a + b R (6x+ 13)° 6b 11b-10 (7x-5) S. 2a + 8 What must the values of a…

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Q: Explain how to tell when two planes are perpendicular.

A: Consider two planes. A1x+B1y+C1z=D1 and A2x+B2y+C2z=D2. Here A1,A2,B1,B2,C1 and C2 are direction…

Q: If a point A, the position vector ai + bj lies on the line L, vector equations r = 2i +5j +c(i-i),…

A: To find the value of (a), we need to ensure that the position vector of point A, (ai + bj), lies on…

Q: 2. For v = (5,-2) and w = (3, 4), find v+w, v - w, v/2, -w and make one sketch labeling all 6 of…

A: Given,           v=<5,-2> and w=<3,4>

Q: Find the Norm, Direction and Sense of the Vector (8,10), it is requested to graph.

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Q: AABC has vertices at A (-3,-2), B (5,3) and C (5,-2). a. Sketch and label each of the points on a…

A: Given: ABC has vertices at  and Aim: To sketch the points on a graph.To calculate each of the…

Q: How many different direction vectors does a line have?

A: Query - How many different direction vectors does a line have? Answer- Direction numbers is a number…

Q: Consider the diagram below. G Which of the following statements are correct? Select all that apply.

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Q: Given the triangle ABC below with A(4, 3); B(7, -1) and C(2, -2). Answer the following questions:…

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Q: f v=[4,2,-3] what is dot(v,v)?

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Q: Explain how to solve this question in detailed steps.

A: Definition of Parallel Vectors: Two vectors are considered parallel if they have the same or…