4. Which point is coplanar with E, F, and H in the diagram below? В O c О в O A O G A Н E D G с F

Q: 81. Given r = (-3, 4) and s = a. Find the product ||r|||s||. (9. – 12). b. Find r· s. c. Based on…

A: Given:r=-3,4 and s=9,-12Formula:u=u.u

Q: a. (a+ (а x b)) Choose... (a x b) + (b x a) Choose... аx (а.b) Choose... а. (а х b) Choose...

A: It is vector calculation

Q: What is the Jacobian of a and y with respect to u and v if = u? + 2v and y = u?v? %3D O 2u - 4u²v O…

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Q: 4. Which of the following is the vector projection of (1,0, 1) onto (-2, 4, 0)? 2 B. (-1,2,0) c.…

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Q: Find u x v, v × u, and v × v. u = i - j, v=j - k V (a) u x v (b) v x u (c) v x v

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Q: 39. The vertices A, B, C of a triangle have position vectors a, b, c respectively. The area of this…

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Q: LG, CF, and AU are concurrent.

A: According to the question, To show that LG, CF, and AU are concurrent, we will use the theorem…

Q: 9. Given vectors u = [- 2,6.7] and v = [3.1.–4]. determine .

A: From the given problem:   u→=-2,6,7⇒-2i+6j+7kv→=3,1,-4⇒3i+1j-4k   So,   u→×v→=ijk-26731-4

Q: 3. Show that B = {0, 1, 2, 6, 9} is a difference set in Zjj. What are the parameters of the SBIBD…

A: For the given question ,t he first thing to do is to find the value of λ. Then, we will proceed…

Q: + Let A = B = 1 4 Then find: AB & BA - 2

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Q: 10. Given two vectors u = [2,4] and v = [6,2]. determine the projection of u on v.

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Q: _3. Let x be a convex combination of {y1, . . , yk }. Assume in turn that each y; is a convex…

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Q: Determine the minimal polynomial of 2/3 – V5 ov over 0.

A: That's easy. Have a great day!!!

Q: Express the following as a linear combination of u= (3, 1, 7), v = (1, -1, 7) and w = (6, 3, 6).…

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Q: Let D = {a, b, c, d, e} and C = {1,2,3,4,5,6}. Define f: D → C by f = {(a,6), (b, 1), (c, 4), (d,…

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Q: Which of the following maps from R² to R³ are R-linear? 2 f(x, y) = (x. x - 2. x+y+z) f(x, y) = (x…

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Q: If |ū| = 4, |v|=5, |ū-v=6, determine |ū+ v.

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Q: 5. For which value of x do the following vectors form a linearly dependent set in R -1 y =|x, in- х,

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Q: Assume m₁ = [4., 1.5] and m₂ = [1.5, 0.5] represent the mean vectors of pattern class 1 and class 2,…

A: To find the decision boundary between two classes, we need to find the equation of the line that…

Q: 3. If au+bv+cw-z; where a,b and c are scalars and u,v,w,z are vectors, then a. Z is a linear…

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Q: Which of the following sets of vectors are linearly independent? (Check the boxes for linearly…

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Q: Q2. In the vector space V = R°, if we take a set: S = {(4,5, 6), (k, 5, 1), (4, 3, 2)} %3D Find the…

A: In the vector space V = R3 , if we take a set S = { ( 4, 5, 6 ), ( k, 5, 1 ), ( 4, 3, 2 ) }. Then,…

Q: Below are four coordinate axes for 3-space, labeled I, II, III, and IV. Which sets of axes adhere to…

A: Once the x- and y-axes are specified, they determine the line along which the z-axis should lie, but…

Q: Given the diagonalization, fill in the blanks 10 −1 2 0 0 0 0 ⠀⠀⠀⠀⠀⠀⠀⠀⠀ X Y 0 -1 0 0 1/2 3 0 0 0 0 1…

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Q: Which of the following transformations is linear? -x a) T %3D b) Т %3D y - x-5y c) T |3D 2x2 a7() -…

A: