2. Find AB when A(-4, -1) and B(-2, 11).

Q: 3. AFUZ AYES. mZS = 34°, m/Y = 72°. %3D Find mZU.

A: Please rate and feel free to ask any query about any part of the question, thanks.  Please ask only…

Q: V and llull=1, livll=3, ten (2u -3u)•(3u+2)= -12 24 NUNE

A: Given query is to perform indicated vector operation.

Q: If possible, write -11 - 6z + 5z? as a linear combination of -2 - z+ z?,2 - z? and 5 +z- 2r?.…

A: We have to show whether -11-6x+5x2 can be written as a linear combination of  -2-x+x2,  2-x2  and…

Q: Dj then is

A:

Q: 3. In the field (Z7,+7,-7), then 7.7 (3-1 + 2-1) = ....... (а) 0 (b) 1 (c) 5 (d) 6

A: To solve this problem, we use the defination of   group and also use tha modulas property

Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = 5x3y - 6xy2

A: The expressions fxx and fyy denote partial derivatives of f with respect to x and y, respectively.…

Q: Given u=(3, -2) and v=(-3, 2), determine -4u –v.

A: Given,          u=<3 , -2>  and   v=<-3 , 2>

Q: Q3/ for what value of u will Ju 2 0 16 5 = 0 Ans.: u = 2.0

A:

Q: If "u" varies directly with "v," and u = 6 when v = -7, what is "u" when v = 4? Enter the number…

A: u varies directly with v  u=6 when v=-7 To find u when v=4.

Q: If e5z 26, then x =

A:

Q: 6.,7 Simplify Væ°y?.

A: The radical xn is expressed as (x)1n.

Q: Let, A = [ 1 2 x 3 −1 2 ] and B = [ x y 1 ]. If AB = [ 6 8 ], find x and y.

A: Let, A = [ 1 2 x3 −1 2 ] and B = [xy1]. If AB = [68], find x and y.

Q: When a-0.10 , n=22, and H:u<Ho• t-323

A:

Q: Assume that u- v = 8, ||u|| = 1, and ||v|| = 10. What is the value of lu- (9u – 8v)?

A: To get the values, first simplify the expression in such a way that you can use the given values.…

Q: Σ ( Use if Σα, = Land Σ ,-K.then Σ ( a-+ ) =Σ α+Σ,- L+K) 5" 7" %3D n=0

A:

Q: Find a+b, 2a + 3b, lal, and ja - bl. a- (3, -4), b- (-5, 2) a +b 2a + 3b ja - b|

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: (b) Show that (АВ) -1 — в-1А-1. (АB) -1 B-A-1

A: In this question we have to prove AB-1=B-1A-1. we know,X-1=1Xadj.A

Q: If e5z 24, then x =

A:

Q: A saleswoman buys the five products say, bag, sunglass, watch, mal upplier. Let y = 78, xɔ = 25, x3…

A: A sales women buys the five products say  bag , sunglass, watch , makeup set and fountain pen from…

Q: (а) {(E)) За + b : а,bER b 4 а | (b) а — ь b — с - : а,b, с € R - с — а

A:

Q: C State two other ways to name Zm. U S

A: Given diagram is :                                           From diagram angle ∠m can be written…

Q: 'll go, assuming that you go. [I, Y] A ( כ Y) B (I v Y) (c) (Y v I) D (Y = 1)

A: I will go, assuming that you go. [I,Y]

Q: Express the following as linear combinations of 1= (2, 1, 4), v= (1, – 1, 3), and w= (3, 2, 5). 8.…

A:

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

A: (a) Calculate the determinant for matrix A.

Q: Evaluate A- using the method of adjoints 3 2 7 -3 3 4 1 A = 1 -4 -3 -4 1 -2

A:

Q: Find x and y if (x-y, x+y) (6, 10)

A:

Q: If fx.y(x,y) = kxye-(x- +v^), x20, y20

A:

Q: Find å + B, 2å + 35, |äl, and |ä – | for å = i + 2j – 3k and b = -2ï – j + 5k.

A: solution:-a→=i→+2j→-3k→b→=-2i→-j→+5k→(1)a→+b→=i→+2j→-3k→+-2i→-j→+5k→         =1-2i→+2-1j→+-3+5k→…

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

A: Topic:- algebra

Q: If P = (-4,3), Find: Ry-1 (P) %3D1 ([?].[ )

A: We have to find the reflection of P(-4,3) about y=1 line

Q: 3 Gan that 212y = 2-2y finel 2y 5.

A: According to our guidelines we can answer only first question and rest can be reposted. I did not…

Q: Find u · v, u· u, ||v||2, (u· v)v, and u · (3v). u = (4, -2, 5), v = = (0, 6, 3) (a) u V (b) (c)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find (a) 2/ 3u, (b) 3v, (c) v − u, and (d) 2u + 5v. u = ⟨−3, −8⟩, v = ⟨8, 7⟩

A: Given vectors are u=-3,-8,v=8,7. a23u=23-3,-8=-2,-83

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: Determine s, t eZ where gcd(222, 921) = 222s + 921t.

A: I have used division algorithm to solve the problem

Q: From 2C, what side is AB? A. C. O Adjacent O Hypotenuse O Opposite

A:

Q: What is the mode of 1,1,1,1,2,2,2,3,3, and 4 ?a. 1b. 2c. 3d. 4

A: Given data  1,1,1,1,2,2,2,3,3, 4 The mode of a set  of data is the value in the set that occurs most…

Q: umbers that has and his 34) а, hen e2n/(n+2) %3D ness line

A:

Q: 2 If B→ exp exp ( r* – 2), what is V→XB→? %3D

A: Given,B→=er2-2To find: ∇→×B→

Q: Evaluate Js I | ix, v, z) ds. Ах, у, 2) - Ху S: z = x2 + y2, 9 sx² + y2 < 81

A:

Q: C Show that dim 9 (√2, 3²/3) = Q(

A:

Q: 3. Show that (a) 8(-x) = 8(x), a<0<b 8(r)8(y) (b) 8(ax+by)8(cx + dy): = lad-bel

A:

Q: Q2 that : [(A+B), (C+ D)]=[A , C]+[A,D]+[B, C] + [B,D] 2- Find : [p,x].

A:

Q: write linear Combination as 4 V.,Vz, V3 where (1,5,4),V.=(1,3,-2),Vz=(2,7,-1), Va= (1,6,7) V=

A: Given V=(1,5,4), V1=(1,3,-2), V2=(2,7,-1) and V3=(1,6,7)

Q: 4. By using the product 2a? + 4a. Make a relationship between the younger sister and the older…

A:

Q: Find å · B for å = (–2,÷) and 5 = (-5,12).

A: Here , we have to do dot product to this vector.

Q: (- 4, - T< 4, 0<x

A:

Q: Find (u + v) ∙ (2u − v) when u ∙ u = 4, u ∙ v = −5, and v ∙ v = 10.

A: u·u=4,  u·v=-5  &amp;  v·v=10

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.