Prove the following statements about sets A and B. (AUB)° = A° Bº

Q: O a) -a Ob) -b Oc) b O d) a

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

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Q: Activity 1: Give the proof of theorem 49. Given: ZBOY is right angle В ZSHE is right angle Prove:…

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Q: find the value of ar if ABC 90 with A-ai3), Blx;-1) and c(A;-1).

A: We have given that - ∠ABC=90° and A(-6,3), B(x,-1) and C(4,-1). We have to find the value of x on…

Q: Given =16,-2,k) and V=14,-4, 0]. Determine the value(s) of k if the angle between ü and v is 60°.

A: We will find the possible values of K as shown below

Q: 10. Given đ = [3,6, 3] and b = [1,-3,4]: a) Calculate the angle between å and b. b) If = [1,–2, t],…

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Q: Assume that ||v|| = 3, ||w||= 5, and the angle between v and w isθ = π/3 .  Find ||v + w||.

A: Given: v=3,w=5,θ=π3 We know that v+w is given by v+w=v2+w2+2vwcosθ…

Q: II1. Find all constants a for which the (smaller) angle between the planes ax + y + z =7 and x – y +…

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Q: b. Fltl =(ct)j +(sin.t). .. .人 1..

A: As per our guideline we are supposed to solve only one question you can repost other questions in…

Q: Determine the reasons for statement 2 and 4: * Given: mZ1+mZ2 = 180° Prove: 1 m %3D Complete the…

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Q: A O chads AB and co intersect at point E. m CB = 120° and m AD =180°, find m AED. 120

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Q: 80. Given v = -2li + 33.6j and w = 5i – 8j, a. Find the angle between v and w. b. Are the vectors…

A: We have given two vectors v=-21i+33.6j and w=5i-8j. First we have to find the angle between v and w.…

Q: Evaluate u v given the following information. . |||ū|| = 4, |||| = 8, The angle between u and is…

A: We have to evaluate u•v.

Q: lat T=iーチーズut and V=3i+5j+3K Find: The angle between u and

A: Vector problem...

Q: Let u = = (1, 2, 3, 4), v = (0, 2, t, 3), and w = (1, 1, 0, 1). Find t so that the angle between u −…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: O Let t- ,=<8, 4) and -8,4) and w = -6î - 2. Find: %3D a) ū + ☆ Caleulate the angle between i and T.

A: Given:

Q: Points E, F, G, H, and J lie on 00. H a. mEF 2 and MEHF %3D b. Suppose JH = HG. theorem that…

A: given: E,F,G,H,J lie on OTo find:…

Q: Let a=|2 and b=| 0 5 3 a) Find the projection of b onto Span a. b) Find the cosine of the angle…

A: The projection of 'b' onto the Span of 'a' can be visualized as, This projection vector must be…

Q: Find a • b if ||ā|| = 10, ||7|| = 3, and the angle between a and is π/6. Answer:

A: The objective of this question is to find the dot product of two vectors given their magnitudes and…

Q: 4) Again let Universe U = {0, 1, Let S = {1,2},T = {2,4,6, 8}, R = {1, 3,5}. Give the following: %3D…

A: According to Bartleby guidelines I can only 3 subparts of the questions.

Q: Use set identities or different proof method to show that: (A U B) n (B U A°) = B

A: To prove A∪B∩B∪Ac=B If A and B both are empty sets φ, then there is nothing to prove. If A=φ, B≠φ,…

Q: 1. For an angle to be in standard position, which of the following conditions MUST be satisfied? i.…

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Q: Let X = R and Y = {(0, a, 0), a EE R} %3D %3D and V = {(b,0, b), be R} %3D Then X = Y e V %3D O True…

A: FALSE

Q: Let θ be the angle between u and v. Determine cos(θ) as a function of t b) Find the angle between u…

A: Given three vectors

Q: Exercise 1:If 0 is the angle between vectors a and b, show that projab. projpa = (a.b) cos (0) COS

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Q: Consider 25 25 25 and 25 24 where tE R Ca) Compute CBC -CB) (A°+B°+C °) b. Find al teR that satisay…

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Q: 5. Using property 1, find the value of ZAin each of the following cases. i) ii) ii) 30% A 45 60°

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Q: EXERCISE 3. Calculate a x b when la = between 1, b| = 3 and the angle a and b is 0 = 30° %3D

A: Given that |a|=1 and |b|=3 The angle between a and b is 30°

Q: Let A and B be nonzero vectors and let C = ||B||A+ ||A||B . Show that the measure of the angle…

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Q: ā − Let a = and b = . - Find k so that a and b will be orthogonal (form a 90 degree angle). k=

A: Let .To find  will be orthogonal.