1. Зer + 10ee 2. 4et - 2en 3. 5c1 + 4c2 + 5i + 2j 4. -Зer + бее +4i - 3j

Q: In Exercises 8–16, give a geometric description of the set of points in space whose coordinates…

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Q: Find a + b, 2a + 3b, Jal, and |a - b|. а %3 (4, -3), ь - (-2, 5) a + b = (9,2) 2а + 3Ь %3D (2,9) |a|…

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

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Q: (b) (3, 5л/2) (x, y) = y y -6 -5 -4 -3 -2 -1 -5 -10 -15 -1.0 -0.5 0.5 1.0 y 15 -1.0 -0.5 0.5 1.0 -2…

A: We need to plot the polar coordinate of the given point 3,5π2=r,θ . The polar coordinate can be…

Q: If z1 = (3,7) and 22 (5,-6), then 2122 is equal to what? %3D А. (57, 17) В. (15, - 42) С. (15, 42)…

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Q: 9. If a || b, mZ3 = 6x - 25, and m2=2x + 54, then a. mZ2%3= b. mZ3 =

A: 9.     If two lines which are parallel are intersected by a transversal then the pair of…

Q: 2 1.8 - -1 31 -1 1,D 3. 1 -1 [2 -1 3 Let A B C -3. 3 3 1 -2. -2 1

A: The solution are next step

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: 20 - 9 - 2 - Is - 6 | in the column space of -8 - 6 0 4 ? 5 3 7 –3 -6

A: To check given vector lie in column space of given matrix, we need to find row reduced echelon form…

Q: 71. r(и, v) — 4ui + (Зи — v)ј + vk 0 < u < 3, 0 < v < 1

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Q: describes. A v 1.4 <r< 5 and 0 <0 < 2n ? v 2.4 <r<5 and a/2 < e< 3n/2 B ? v 3.0 <r<5 and 3/2 < 0< 2n…

A: According to figure shown below, answer all questions.

Q: 2х, — Зх, + 2х, 3 —14 b) {3x, + x2 — 5х3 + 3x4 3D 1 (4х, — 2х, — 5xз — 3х4 %3D2.

A: Let's find.

Q: 2.6 If H = 4a, - 3a, + 5a, at (1, 7/2, 0) %3D

A: Given,         H=4aρ-3aϕ+5az, at 1, π2, 0

Q: -3 show that B = B". 7. Given that B= 4 -9 -2 5 - 4 2.

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Q: Find projvu if scalvu = -2 and v = ⟨2, -1, -2⟩.

A: Consider the given vector.u=-2 and v=&lt;2,-1,-2&gt;.The projection is defined as,Projection of…

Q: (с) 2 + 8y + 4z 3D 12, — 4л + 52 3D 7, л+ 2у + 2 — 7, 3x + 4y – 2z =-2

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Q: 2 and y = If x:y:z 4:6:9 and z = 45, then x =

A: Given:          x:y:z=4:6:9     and   z=45To…

Q: 4x, + x, +x, -x, = 29.5 2x, +4x, – x3 – X4 = 50.5 x, + 2x, +3x, +2x, = 42.5 -X, +x, +x3 +x4 = 19.5

A: By Gauss Jacobi Method Rewriting the given system in variables x, y, z and w. We get…

Q: 7. 4r+ 8y +5: =5 6r+ 5y +2: = 3 3r+ 2y+3: =3 8. 2r+3y - 5z = 30 Sr+ 7y - 12: = 71 -llr- 15y + 26:…

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Q: 6. If x= +4 and 7 (ii) - (x+y) = (-2) + Cy 21 5 Page then verify that

A: Given data:- x=-47y=25 Given equation; -x+y=-x+-y

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

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Q: (х — 4у— 7z — w %3D y + z – 2w = -3 х + 2у — z %3D 2 (2х + 4у +z — Зw %3D — 2 –19 %3D

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Q: 4z Which expresslon is equivalent to 3z z2 - 3z + 2 when z + 0, z #1, and z 6 422 3(z 2)? |3- 3(z 2)…

A: The given expression is: Since multiplication is the inverse process of division. That is,

Q: v 6. (2 – 8)² + (y – 7)² + (z – 8)² 0 ? v 8. (x – 8)² + (y – 7)² 0, z < 0 ? v 10. y < 0

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Q: Find u · v. (7, 9) v = (-2, 4) V u.v u:v =

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Q: Q2: Suppose A = (0,2,4,6,8), B (1,3,5,7) and C (2,8,4). Find 1) AUB %3D 2) Ance 3) BnC 4) C\B

A: Given, A={0,2,4,6,8}, B={1,3,5,7} and C={2,8,4} To find, 1) A∪B 2) A∩Cc 3) B∪C 4) C\B

Q: 1) (m- 5Xm - 4) - о 2) п? — 5n + 6-0 41 В) 5, -- 5 в) (-3, -2 D) (3, 2} А) -1, -2) A) 5, 4) C) 5, 1}…

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Q: Can we write v = (1,5,4) as a linear combination of u = (1,3, -2), uz = (2,7,-1), ug = (1,6,7) ?

A: If there exist a,b,c∈ℝ such that au1+bu2+cu3=v then we can say  v as a linear combination of u1,u2…

Q: If u = 7i - 2j + 3k and v = -i + 3j +5k then Projuv is a- 62 62 10 b- +j+k 35 35 62 10 d-i+j+k 35 35…

A: Given vectors are, u=7i^-2j^+3k^  and  v=-i^+3j^+5k^ Now projection of v on u is given by.…

Q: 7. If p || q, mZ4=4x+31, and m636x+ 13, then a. mz1 = %3D 16 b. m/5% = - 4)

A: Below is the solution:-

Q: 3) 14) b = /30 45 14. х%3D y = 4 15. х%3D 5) 16) y = 60 3V2 16. х 3D 45 y =

A: 13. Apply the formula for sinθ, sin45°=a2 ⇒a=2·sin45°=2×12=2 Apply the formula for tanθ, tan45=ab…

Q: Suppose ū = (-4, 1) and ū = (0,4). Then: u+0= u - D= 0 - u= 4u= 4u – T0=

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Q: What is the component form of resultant of 26 - 3ā? 2b à = (2, -3) b = (-1,5) Enter your answer by…

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Q: u = [8, 3] v = [4,0] 2u + v = [ Ex: 5 :

A: Given,         u = 8, 3         v =  4, 0

Q: Suppose u = (-3,0,0) and v = (-3,-2,3). Then: u +0= u – T= | 3u= 7u – 30=

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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: -6- -5- B(4,4) C(12,4) -4- 3- -2 A(0,1) D(8,1) -2 -1 0 -1- 1 2 3 4 5 6 7 8 9 10 11 12 13 14 --2 y =…

A: we have given a parallelogrami assume we have to find which are equation of the sides

Q: List the intercept and test for symmetry.

A: Definition used -                x-intercept - x-intercept can be found by substituting y =0 and…

Q: Q2: Suppose A = (0,2,4,6,8), B = (1,3,5,7) and C= (2,8,4). Find 1) AUB %3D 2) Ance 3) Bnc 4) C\B

A: Given A = 0 , 2 , 4 , 6 , 8B = {1 , 3 , 5 , 7}C = {2 , 8 , 4} then (1) A∪B = {x : x∈A or x∈B}= {0 ,…

Q: 7. 3. = ) 8. V5. VE : 173 2/3 9. 4V15(v6 + V5) - te3 + V5) : -25 10. -Vz(V10 - 4V = -/20 +412 %3D

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Q: (c) (4, -77/6) (x, y) = y y 1 2 3 4 5 6 7 3 -1 2 -2 -3 0-7 -6 -5 -4 -3 -2 -1 y 2 4 8 -1 5 -3 3 2. 9,

A: Given : (4, -7π/6).

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

A: The solution for the above question is as shown below.

Q: а. 2 ихх — иху — 4uy a2 u az u b. əx² azu ди +4 +34 + u = 0 дхду a?u = 2", k < 0 ax ду ди C. k ax?…

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Q: Find u· v. u = (-10, 2) v - (1, 5) u v =

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Q: а. п 3 15, b. п 3D 8, H =D18, %3D H%3D24 С. п %3 35 4%3D54

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Solve the system

A: Solve this system by crammer's rule as follows.…

Q: Use Gauss-Jordan elimination to solve the system:

A: Consider the following:

Q: The equations of two lines are given. Determine whether the lines are parallel, perpendicular, or…

A: 105. We know equation of a line in slope intercept form is given by: y=mx+c,Where,m=slope of the…

Q: 2. If Ā = ê + ŷ, B = 2â – 3ŷ + 2 and C = 4ŷ – 32, determine %3D (a) (Ã × B) × Č (b) Ã× (B × Č)…

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Q: (b) P = V3t +6 . O u = 3t2 + 6, P = Vu I| = V32 + 6, P = vu U = Ou = 3t, P = \u² + 6 O u = 2 + 6, P…

A: Given that, P = 3t2+6 . Now, P can be written in terms of u with proper substitution.