(2, –1, 3) and b (-3, 3, 4). Calculate 2a – 3b and |a – b|. Clearly separate the Let a calculations.

Q: Let ū = (-1,2,4) and ū = (-3,5, 2). Compute the following: (a) ū+ū (b) .공 (c) ||해 (d) ũ - 7 (this is…

A: (a) Find u→+v→ as follows: u→+v→=-1,2,4+-3,5,2          =-1+-3,2+5,4+2          =-4,7,6

Q: Find a and b such that [图-1-8 -27 9. + b 3 a = b =

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Q: Let A = {2, 3, 4} and B = {4, 5}. Find A X B and B X A. %3D

A:

Q: Let A = {x| - 4 <x< 6, x € N}, B = {x| x? < 16, x € Z}, C = {x| 8<x3 < 142, x E Z} Then find, s((An…

A: Size of a set is the number of elements contained in the set.

Q: if v= 5i-6j and w= xi +8j, Find all numbers x for which ||v-w||=4.

A: Given, v=5 i-6 j and  w=x i+8 j

Q: If a = (1, 2, 1) and b cross products. 1. a × b : = 2. b xa = = (12, 15, 1), find the following

A:

Q: a. A x, y =x b. As x2,y- C. As x, y=x²+ 3x →. d. As x , y=-3x

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Find a and b such that 2 1 20 = a 2 +b -4 -22 -1 a = b =

A:

Q: Let u= (3,-5). v = (-3,6), and w (0.- 6). Express 8u- 2v + w in the form (ab) %3D 8u- 2v + w= D…

A: Let u=3,-5, v=-3,6, and w=0,-6. Express 8u-2v+w in the form of a,b.

Q: -17 and C: -1 Let A = y t+1 B = 5 -3 5 -6 3 Evaluate the following: 4A, xB, and A +3C.

A: We need to solve given matrix operations.

Q: Let a = (1,2,3),b = (4, –3, –1),c=(-5, –3,5) and d = (-2, 1,6).Find: %3D а. а+ 5b b. [7c| – |5d| c.…

A:

Q: If P(A) = 0-4 , P(B) = 0.7 and P (at leasr one of A and B) = 0.8, find P(only one of A and B). %3D

A: Given that  P(A)=0.4 , P(B)=0.7 P(at least one of A and B)=0.8=P(A U B)  Find P(only one of A and B)

Q: Q3- Find the numerical value of xdz, ifc = c, + C2 + C3.defined in the given figure. (2,2) C2 (1,1)…

A: Integrate in parametric form.

Q: If a figure is translated with the rule T(-3, 3), which translation moves the image back to the…

A: Given: A figure is translated with the rule T-3, 3. To determine: A translation which moves the…

Q: calculate r'(t) and T(t), and evaluate T(1). r(t) =〈3 + 4t, 3 − 5t, 9t 〉

A:

Q: Let A = {a, b, c} and B {1, 2, 3}. Solve for the following. %3D a. АхВ b. ВxА С. АхА

A: Since you have posted multiple questions, as per our policy we will answer first question (First…

Q: Find a and b such that 2 1 = a -4 + b -4

A:

Q: Let u= (-2, – 1) and v= (-8, -5). Find u+ v.

A:

Q: Let A = 20a, + 15a, - 10a, and B = a, + a,. Find: (a) A · B, (b) A X B, (c) the compo nent of A…

A:

Q: Let D5 = (a,b). Compute the following: %3D b(a*b) bla'b) ab(a²b)

A: Use the definition of dihedral group.

Q: Find all numbers z such that Az + Bz² + Cz = D [2 4 21 li 3 B=[i 1 1. A = -2 -1 [2 4 2] C = 1 3 1 -1…

A: Find all numbers z such that Az3 + Bz2 + Cz =D Given matrices,                              A=242131…

Q: Let a =i-j and b = 31 + 3/. If Daf (1,2) = 6v2 and Dof(1,2) = -2V2, then find f(1,2) and fy(1, 2)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: let R = (-2, 7). Calculate the following: The components of u = PŔ, where P = (1, 2)

A: Given,               R=(-2, 7)   and   P= (1, 2).    The components  of u=PR⇀=?

Q: E determine µ when z =\2.5, x = 42.1 and o = 2 %3D %3D

A: Topic:- algebra

Q: Given: x = 2 , X2 + 5 , X3 = -8 ,x,+6 %3D %3D y, - 3, Y2 -3, y3 = -2 Ys -2 2. X; Yi 3. !x%

A: The given expression can be re-written as ∑i=14xi-1·3·xiyi=3·∑i=14xi-1·xiyi, and…

Q: Determine if b is a linear combination of ā1, ãz and dz. 6 = 2 3 16

A:

Q: 5,t2 %3D as t= 5, 1, = 8. Find t

A: The nth term of the Arithmetic sequence is given by tn Therefore tn=t1+n-1d where t1is the first…

Q: Let a = . Find Ja]. - 2, 2,1 >. Find lä].

A:

Q: ..***a***** . Let x (m, 1,0,-2)", m > 0 and ||x||2 = V30, then Select one: a. 6 b. 7 с. 5 d. 4

A:

Q: Let A = If A-1 = A, find x + y. 5

A: Here, it is given that  A=x15-25y and A=A-1. We need to find x+y.

Q: Find (a) ∣A∣, (b) ∣B∣, (c) AB, and (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣.

A:

Q: 3) If a = 31-2j, b = 7i+5j and c = 9i-j, show that a - (b-c) = (a - b) - (a - c). %3D

A:

Q: Given ü = (2,-3) and = (-2,5) find ü v %3D

A: Solution is done in step 2

Q: Find JA|, IB|, A + B, and |A + BỊ. Then verify that |A| + |B| # |A + B|. 15 0 1 -1 A = 1 -1 0 B = 5…

A: topic - determinant and matrices

Q: ag Suppose that g(1, 2) = 3 and -1.5, then ... y2

A: To find: The approximated value of g(1.2,2). Given: g1,2=3, ∂g∂xx=1,y=2=-1.5 Concept used;…

Q: Find JA|, |B|, AB, and |AB|. Then verify that |A||B| = |AB|. %3D 0 1 2 3 3 A = 5 4 3 , B = 1 -1 76 8…

A:

Q: Find A -B x C, (Ax В): (В х) if A%3 2а, — х, а, — 2а, В %3D 4а, + x,а, + 2а, and с 3 -âx + ây – x3â,…

A: see the attached image below

Q: Find (a) ∣A∣, (b) ∣B∣, (c) AB, and (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣.

A:

Q: Let X-(1,0,- 1,-/2)'. Then, ||X||∞ =V7 %3D Select one: O True False

A:

Q: Assume that u- v = 7, ||u|| = 3, and ||v|| = 3. What is the value of 5u- (9u – 7v)?

A: Given, u.v = 7  u = 3    and   v = 3   We have to find the value of 5u.(9u-7v)

Q: F = [0.5 Rani, 0.2 Suman, 0.4 Anita, 0.8 Sunita] be a set of fat girls, and > 541Lpdyens G = [0.1…

A: fuzzy sets

Q: Q6/ If a = (3,1, 2) , b = (-1,1,0) and c (0,0, -4), show that a x (b x c) # (a x b) x c %3D

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Q: Which of the follow that apply.

A:

Q: Let x~ N( M, -) Ti- 5, Ź (xi-x)* 2 %3D %3D n -1 Ź(xi- 7)" 2 2. T2 = 2. 2. 2. Check the Consist of 6,…

A: We know that, Y=∑xi-x¯2σ2~χn-12 Then  EY=n-1⇒E∑xi-x¯2σ2=n-1⇒E∑xi-x¯2=n-1σ2---&gt;1…

Q: Let A=[t, t?,0]and B=[1 , t² , 0] and C=[2,t³ , 1] find (ABC)`

A:

Q: Let A, B, and C be as shown below. 2x A =|-4 1 B-5, 4] [3y 2] c = [g 11 ol C = 4 a. Find 2B – CT b.…

A: Given: A=y2x-4154     B=x43y2  C=01-10d. BAf.CB

Q: Let x = x with W(x,,x) =7e,then a = %3D -23 Select one: a. 7 b. 2 C. 0 d. 7 e. 5

A: WE will just use the definition of Wronskian to solve this question.

Q: Find JA|, |B|, A + B, and |A + B|. Then verify that |A| + |B| # |A + B|. -1 1 7 10 1 A = 0 1 B = -1…

A:

Q: Let A = {0, 1, 2} and let B = {-2, 0, 1, 2}. %3D

A: Given,        A=0, 1, 2, and B=-2, 0, 1, 2

Q: Find all values of a, b, and c for which A is symmetric,

A:

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.