Let u = < 2, 2, – 2 > , v = < 2, 0, 2 > and w = < 4, 8,0 > . Now, i = < 28, 44, 0 > is a linear combination of ü, v and w. That is, i = aju + azv + azw. Determine a1 , a2 and az a2= a3=

Q: 3,0 on a coordinate plane

A: we have to plot (3,0) on a coordinate plane using graph we can plot (3,0) on coordinate plane as…

Q: Draw vector 1/2CD - 2FE

A:

Q: assume that A={6,8,4,g} and B={3,2,8,d,h,g}. (a) n(A×B)= (b) n(B×B×B)=

A: a) Given that A={6,8,4,g} and B={3,2,8,d,h,g}So, A has 4 distinct elements and B has 6 distinct…

Q: 3. Given u =(3, 10,-8) and v = (-1,6,4), a) find 3v--u

A:

Q: 4. If u = (-3, 2), v = (-4, –6), find 4u – 7v %3D

A:

Q: . Let A=[[-9,1],[2,5]]and B=[[6,2],[3,3]], Find A+B   2. let A= [[-1,3],[0,4],[9,-4]]and…

A:

Q: Let u = (3, 5, -7) and v = (6, -5, 1). Evaluate u + v and 3u - v.

A:

Q: If a = (2, -1, 8) and b (6, 2, 1), find the following. a xb bx a =

A: Given:- a = &lt;2, -1, 8&gt; b=&lt;6, 2,1&gt; To find:- a X b and b X a

Q: Let u = , v = , and w = . find uw

A:

Q: Create 2 sets, one linearly independent and one linearly dependent, by replacing the x with a…

A: Step: 1 Linearly Dependent: - A set of vectors is called linearly dependent if at least one element…

Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

Q: Find a relationship between x,y and z with reasons

A:

Q: Let i = (2, –1, 5) and ū = (5, –7,3). Find 37 – 5ū. %3D - А. (-19, —32, 0) В. (-19, 32, 0) С. (19,…

A:

Q: (2) Write v as a lincar combination of u₁, U₂, U3 if possible, where U₁ = (2,3,5), u₂ = (1, 2, 4),…

A: Given that,  V=(10, 1,4)  u1=(2, 3,5), u2=(1, 2,4) , u3=(-2, 2,3)  To find : a, b, c such that…

Q: Write (3,5, 0) =₁₂, where ₁ is parallel to (3,9, 9) while 2 is perpendicular to (3,9, 9). √₁ = √2 =

A: Step 1: Recall some concepts. Step 2: Given informations and derived some results .Step 3: Find the…

Q: Suppose ū = (-1,3,0) and v = (5, –2,5). Which of the following is 3v - u ? Select one: (-8,1,-5)…

A: given  u = (-1,3,0) v= (5,-2,5)

Q: Let U=(-4, 3, 3) and V=(2, 1, 1). Find (2U+V), *. | (then find | (2U+V

A: Find 2U+V and it's magnitude.

Q: 3,10 on coordinate plane

A:

Q: Is {(3, 4)}Linear combination of {(1, 2), (2, 4)} show all the work and state why or why not.

A:

Q: Let u= and v= identify 3u+v???

A: We have to identify 3u+v for the given vectors: u=2, -3 and v=4, -1. Finding 3u: 32, -3=6, -3

Q: Let A = {j, z}, B = {1,5,7}. Each element is expressed as an ordered pair. ВХА3{ }

A:

Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). - 2ü + 20 (-8,-12 - 20)

A: Given :-  u=&lt;3,-4,-10&gt;  v=&lt;-7,-2,0&gt;  To find:-  2u+2v

Q: What is the Cartesian Product of A = {1,2} and B = {a,b}? Find AxB.

A:

Q: given u = and v= find u*v

A: To find out the dot product u*v

Q: Let u = and v = Find each quantity: a) (u)(v)  b) (u)(u)  c) (v)(v)

A: Given: u =&lt;4,-3&gt; and v =&lt;-2,7&gt;

Q: If ~v = 〈 4, 1, 6〉 and ~w = 〈3, 2, 3〉, find ~v · ~w and ~v × ~w.

A: If ~v = 〈 4, 1, 6〉 and ~w = 〈3, 2, 3〉, find ~v · ~w and ~v × ~w.

Q: Does S={(-3,0,4),(5,-1,2),(1,1,3)} span R3?

A:

Q: Let v = (2, -1, 5) and u = (5, -7,3). Find 37 - 5u

A: We have to find 3v - 5u

Q: Let u=(2,6,-7), v=(-1,-1,8), and 3. If (2, 14, 11)=ku+lv what is the value of l?

A: i AM GOING TO SOLVE THE GIVEN PROBLEM BY USING SOME SIMPLE ALGEBRA TO GET THE REQIURED RESULT.

Q: Suppose u = (4, 3, 0), v = (−1, −5, 5) and w=(5,-4, 0). Then: ú.v= u.w= v • w=

A: According to the Bartleby guidelines we are suppopsed to do the first three subparts of multiple…

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.