let u = (1, 2, 3), v = (2, 2, -1) and w = (4, 0, -4) then 5u 3v W equal (-3,4, 20) O (3,4, -20) ( 3, 4, 20 )

Q: Find u · v, u· u, ||v||2, (u · v)v, and u · (3v). u = (3, 11), v = (-4, 3) (a) u: V (b) u. u (c)…

A:

Q: If u = 7i - 2j+3k and v = -i+3j + 5k then Proj,v is

A: Given, u=7i-2j+3kv=-i+3j+5k

Q: Find u · v, u · u, ||v||, (u · v)v, and u · (3v). = (3, 12), v = (-4, 3) (a) u• v (b) u•u (c) ||v||2…

A:

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

A:

Q: Find u v, uu, |v||2, (u v)v, and u. (3v). u = (2, -2, 4), v = (0,7, 4) (a) 2 (b) 24 U. V U u (c)…

A: Given :u=2,-2, 4v=0, 7, 4

Q: f1- estion 1 of 23 The functions f and g are defined by f(x) = %3D .le + 피 and g(x) = 5 - x 4,…

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Q: J1, 1), К(3, 2), L(4, 1) and M(6, 1), N(5, 2), P(2, 1) 3)

A: Below Image has the graph with points plotted on Coordinate Axes.

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: 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 Find u, 3v, v - u, and 2u + 5v. 3 u = (7, 6), v = (4, –4) %3D (a) u 3. (b) 3v (c) V - u

A: Given : u=<7,6> v=<4,-4>.

Q: f(z, w)- Te-17y then 238a (72-17y) 238z (7z- 17y) 238z (72 + 17y) 238z (7z + 17y)

A: f (x,y) = (7x+17y) / (7x-17y) and we have to find df/dy given that f is function of x and y  we know…

Q: Let u = (5,-5, -7) and 7 = (-6, 1, 2). Compute the following: úxv= v X ū= úxu 3 (u xv) = ū × (30) =…

A:

Q: Find u · v, u· u, v||2, (u · v)v, and u · (3v). u = (4, 11), v = (-2, 3) (a) u. v 25 (b) u.u 137 (c)…

A:

Q: Find u x v, v x u, and v x v. 3D(-7, 1, 2) 3(4,7, -6) u = (a) u x v (b) (c) V X V

A: Solve

Q: h(x)= Svarty ³ dr +² find d ах иск

A:

Q: Find u x v, v x u, and v x v. | = (−1, 5, 4) v = (-5, -4, -7)

A:

Q: = Suppose (3, −1, −2), = (-1, 1, −4) and w = . 9. 9. v.w= 9. v. v= ū⋅ (v+w)= . 9. (5, 1, 1). Then:

A: For any query with the solution, please ask in the comment box.

Q: Find u x v, v x u, and v x v. u = (3, -3, -1) v = (-2, –7, -5) (a) ux v

A:

Q: Find u - v, 2(u + 3v), and 2v - u. u = (6, -2, 4, 3), (-2, -1) (a) u - v = (b) 2(u + 3v) = (c) 2v -…

A:

Q: Find u v, u u, ||v||², (u · v)v, and u (3v). u = (3, 10), v = (-4, 3) %3D (a) (b) (c) ||v|

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

Q: Find u v, 2(u + 3v), and 2v- u. - u = (6, -5, 8, 3), (a) u-v= (b) 2(u +3v) = (c) 2v - u = v = (-2, 5…

A: The solution is shown below-

Q: V=(2,7,10),V%=(1,2,3), Vz (1,3,5),Vz=(1,5,9)

A: Let V=aV1+bV2 +cV3 where a, b and c are constants.

Q: Find u (vx w). =(5, 5, 5) v = (1, 9, 0) w = (0, 0, 4) U =

A:

Q: Let u = (2, 4) and v = (1, 12) and w=(−6, −4). Find: 12. (v.w)-(v.u) 11. 3(u-w)u 13. 2-u 14.…

A:

Q: Find u x v, v x u, and v x v.

A:

Q: How is w = (-3, –13, 7) e R³ a linear combination of (0, -2, 2) and (1, 3, –1)? U = | V = O A. w =…

A: Given query is to find the correct option for linear combination.

Q: Let a-2-3j.kb-41-) and c-1-31-2k. If d is such that da-9. db-7 and dc-6, then d is equal to 01-31-2…

A:

Q: u = ⟨3, 4⟩, v = ⟨−1, 5⟩ Find         (a) u ∙ v, (b) u ∙ u, (c) ||v ||2 , (d) (u ∙ v)v, and      (e)…

A: Given vectors are u=3,4 and v=-1,5. Given vectors can be written as: u=3i+4j and v=-i+5j. (a)…

Q: Find u - v, 2(u + 3v), and 2v - u. u = (2, 0, -8, 3), v = (0, 7, 3, 2) (a) u - v = (b) 2(u + 3v):…

A:

Q: . Find u. v, v. v, ||u||², (u v)v, and u (5v). =(2, 4) u= (3, -3), V =

A: Given vectors are u = 3, -3,  v = 2, 4

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.