Let u = (-1, 1), v = (-3, 4), and w=(0, – 2). Find u•w Answer as an integer.

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

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Q: Let u ,v eR* such that F= 2, F]=3 and ūlv. Then (-27 + 35 ) • (v –ū)=

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Q: Show that [x, p;] = iħ.

A: note :  As per our company guidelines we are supposed to answer ?️only one question. Kindly repost…

Q: Express the following: as a linear combination of u = (2, 1, 4), v = (1, -1, 6) and w = (2, 2, 8).…

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Q: Please draw and make a short explanation about of this pmf : p(y) = 1/(y+1) for y = 0, 1, ..., 6.

A: Given : Equation : p(y) = 1/(y+1) defined for y = 0,1,2,3,4,5,6 The following graph is obtained

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

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Q: Let i = i +2j+3k , Find e so that ||c|| = 3.

A: As we know that; The property of scalar multiplication of a vector ka→=ka→ Given: u→=i→+2j→+3k→

Q: If $ = 2xy?z + x²y, evaluate $ dr where C 3 from

A: Given, ϕ=2xy2z+x2y, We have to evaluate ∫Cϕdr where C(a) C is the curve x=t, y=t2, z=t3 from t=0 to…

Q: Express the following as a linear combination of u = (2, 1, 3), v = (1, -1, 4) and w = (3, 2, 6).…

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Q: Let X - N(u,0) so that P(X < 89) = 0.9 and P(X < 94) = 0.95. Find u and o? %3D

A: Given : Normal distribution with mean μ and standard deviation σ   We have been provided with 90th…

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: 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.

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

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Q: Express the following as a linear combination of u = (2, 1, 6), v = (1, -1, 4) and w = (10, 2, 6).…

A: We have to find out

Q: If ||u|| = 2, ||v|| =√3 , and u x v = 1, find ||u + v||.

A: Given that u=2,   v=3   and  u*v=1. This implies that,

Q: Find proj, u and scal, u by inspection without using formulas. proj, u = OD

A: Vector and scalar projection

Q: Use the equations aF OF az ax az ay and ax OF ду OF az az az az and ax to find ду 5yz + 8x In(y) = =…

A: F=5yz+8xln(y)-z2∂F∂x=8ln(y), ∂F∂y=5z+8xy, ∂F∂z=5y-2z∂z∂x=8ln(y)5y-2z, ∂z∂y=5z+8xy5y-2z=5yz+8x5y2-2zy

Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (−1, 2), v = (2, 3)

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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 x,y ∈ Rn Show that: |x + y| 2 + |x - y|2 = 2|x|2 + 2|y|2

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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: 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: if z 2- j5 and w =1+ j2. evaluate: 4- conj (z) - u 32 + j36 -32 +j36 36 j32 O-36 j32

A: Please check step 2 for the solution.!

Q: If i = j+z, i – j = đ, and j – z = b, show that ā = -15.

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Q: Find out the values of X1 and X3 from the following set of equations using Cramer's rule: 2X,…

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Q: Start with [ao, bo] and use the false position method to compute Co.C1,C2 and c3. Use

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Q: Let u = 21-9), and v= -31+9J. Find u-v. (Type your answer in terms of i and j.)

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

A: The objective is to find (7, 10,7) as linear combination of u, v, w.

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

A: Given , u=1,-1,0,1v=0,2,3,-1and 3 w=u-2v

Q: Compute u + v, u – v, 2u, and 3u – 2v if (а) и %—D 5 (b) и %—D V = 3 (c) ) u = 6.

A: (a) Given- u=23,v=-25 To find- The value of u+v,u-v,2u and 3u-2v.

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: Express w as a linear combination of u and v: ? = (4,1), ? = (−2, −1), ? = (2, −2)

A: Let w = (4,1) u = (-2,-1) v=(2,-2) we can write this as: u-21 + v2-2 = 41   -2u + 2v = 4 u - 2v = 1…

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

A: I have used division algorithm to solve the problem

Q: If u = a+j13 and v = -11- jb, calculate Im(u + v).

A: u = a + j13, v = -11 -jb

Q: Let u=2i+3j-2k and v=-1i-4j +k Find u . v, ||u|| and u . v

A: Given that u and v vector and we find its dot product (u.v) and mode of u(||u||). Here i attached…

Q: (d) Verify that for v= (a, b) E R², P[v]s' = [v]s and Q[v]s = [v]s•.

A: d) First find the matrix P that is the change of basis from S to S'. 1,3=31,2-12,31,4=51,2-22,3…

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

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Q: If u = -2i - 2j and v = 6i + 7j, find u - v.

A: We can solve this as follows:

Q: Let z, w E C. Show that |z + w[? + |z – w|? = 2(\z|² + |w|?).

A: Any complex number, Z can be represented as Z=x+iy, where x=Re(Z) , y=Im(Z) . The expression, Z can…

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

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Q: Given uo, u1, U2, U3, U4 and ug and assuming the fifth order differences to be constant, prove that…

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Q: a b be suc b |, then t

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

A: The given vectors are  u=(5,1,6)v=(1,-1,5)w=(1,5,6) We have to write the given vectors in linear…

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

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.