Let U = R, A =[-6, 3), B = (-1,5), and D = [-7, 1]. Find (i) AN Bº (ii) (BUD)e

Q: Let U%3D {а, с, е, һ, т, о, р, s, t, и, у, 0, 1, -} А 3D {с, һ, о, р, s, и, e, y} B = {s, e, t} II В…

A: For the given data Find the given

Q: Find (a) u × v, (b) v × u, and (c) v × v.…

A: Given : u =0,2,1v = 1,-3,4(a) u x v = ijk0211-34u x v =i 21-34    -j0114  +k021-3          = i(8+3)…

Q: α= (5,3,2) y- (-2,3) 2ri-Yj =? i j

A: Summation of each box needs to performed separately. Opening the summation individually and summing…

Q: Let u = (1, 2, 3), v = (4, 4, -2), and w = (6, 2, -5). Find z, where 2u + v – w + 3z = 0. Z =

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Q: If|u|= 3 and|v|= 6, find|u×v|and whether u×v points into or out of the page.

A: If|u|= 3 and|v|= 6, find|u×v|and whether u×v points into or out of the page.

Q: Let C z-1=3 and1 = §, = dz. Then

A: The solution is given as

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (3, 4), v = (2, −3)

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Let u (k, –5) and v = (1,–1). If proj,u = ¿v , find k. Answer:

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Q: For u=⟨4,−2⟩ and v=⟨−5​,5⟩​,find u•v.

A:

Q: Express the following as a linear combination of u = (6, 1, 7), v = (1, -1, 4) and w = (1, 8, 7).…

A:

Q: If →               →       v = (x, y), || v || = 4, and →           w = (−2x, −2y), then →…

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Q: If u = (1,0), then Düfz(-3, 4) = ƒxy(−3, 4). True False

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Q: Determine inf H and sup H for H = (-1, 0), H = {0, 1}U(2, 3),

A: As per the guideline i am uploading the first two. For the other two kindly resubmit the questions…

Q: Find w, x, y, and z so that W X 4 3 8 -3 2 4 -4 |

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

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Q: If x,+iy, =x,+ iy, then x =y, 1

A: Given there are two complex numbers. They are x1+iy1 and x2+iy2. And it is given that x1+iy1=x2+iy2.…

Q: Express the following as a linear combination of u = (3, 1, 5), v = (1, -1, 4) and w (5, 7, 6). (14,…

A: Answer

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

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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: If x, +iy,=x,+ iv, then x =y,

A: Given x1 + iy1 = x2 + iy2

Q: Let å = (– 1, – 2, 1) and b = (4, 2, 1). Find å x b. V

A:

Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (1, 4), v = (2, 1)

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

Q: Let u = (1, 2, 3), v = (4, 4, -2), and w = (6, -1, -2). Find z, where 2u + v – w + 3z = 0. z =

A:

Q: If W(-10, 4), X(-3, -1), and Y(-5, 11) classify AWXY by its sides. Show all work to justify your…

A: The given coordinates are

Q: Let a = (1, – 5, 3) and b = ( – 5, 3, k). | Find k so that a and b will be orthogonal. k =

A: a→=1,-5,3b→=-5,3,k To find: value of k for which both will be orthogonal.

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: Solve for w, where u = (1, −1, 0, 1) and v = (0, 2, 3, −1). w + u = −v

A: Let's consider w = (a, b, c, d) So w + u = (a, b, c, d) + (1, -1, 0, 1) = (a + 1, b - 1, c, d + 1)

Q: 3. Consider A={m,a,t,h}; C={x:x=3n,1sns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n S6,nEN} What is ANB?

A:

Q: Let a = (1, – 5, 3) and b = (– 5, 3, k). Find k so that ā and b will be orthogonal. k

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Q: Only F, H and J please.

A:

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (−1, 2), v = (2, −2)

A: u→=-1,2v→=2,-2a u→.v→=?     u→.v→=-12+2-2           =-2+-4          =-6u→.v→=-6

Q: chere F(r, y, z) =

A: Stokes theorem

Q: If c >0, |u| <c is equivalent to_______ <u <_______.

A:

Q: let u=(3,4), v=(2,-3) and w=(2,-2)  find (u*v)w

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Q: hao that rectors X, - (1,-3,0,2) 3 E1,-2,', 3) ace dinac deandent. Kx C2,1,1, 1)

A:

Q: Let X=(1,0, – 1,- /2)'. Then, ||X||, = Select one: а. -V3 O . 2+V2 C. -V2

A:

Q: Express the following as a linear combination of u = (3, 1, 6), v = (1, -1, 8) and w = (5, 5, 7).…

A: Let's find.

Q: Express the following as a linear combination of u= (4, 1, 6), v = (1, -1, 5) and w = (1,3,7). (10,…

A: We need to express as linear vector.

Q: Let id (2,-2, 1), d= (2,-1,-6). Find i ,-dand |M.

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Q: Find (a) u × v, (b) v × u, and (c) v × v. u = (3, −2, 4), v = (1, 5, −3)

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Q: Express the following as a linear combination of u = (6, 1, 7), v = (1, -1, 4) and w = (2, 6, 4).…

A:

Q: Find (a) u × v, (b) v × u, and (c) v × v. u = (3, −3, −3), v = (3, −3, 3)

A: Given: u=(3, −3, −3), v=(3, −3, 3)

Q: Let u = (1, 2, 3), v = (2, 2, –1), and w = (4, 3, -4). Find z, where 2u + v – w + 3z = 0. Z =

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Q: Let a = (– 1, 5, 0) and b = (3,0, – 1). Find the component of b onto a.

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Q: If c > 0, |u| = c is equivalent to u= or u =

A: If c>0, u>c is equivalent to u<-c   or u>c

Q: Let u = (1, 2, 3), v = (2, 2, -1), and w = (4, 3, –4). Find z, where 2u + v – w + 3z = 0. Z =

A: u=1,2,3v=2,2,-1w=4,3,-42u+v-w+3z=0

Q: Express the following as a linear combination of u=(2, 1, 3), v= (1, -1, 4) and w=(2, 8, 8). (5, 14,…

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Q: When u × v = 0 and u ∙ v = 0, what can you conclude about u and v?

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.