Suppose u (3, 2, – 4) and ī = (-5, –4, –4). Then: | u + v=| v= u= 7u= 2u 3v=

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: If U(x,y)=In(x²-y³) then Ux+Uy= ... XX

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

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

Q: If |u| = 5, |v| = 2, and u • v = 7 find |u + 3v|

A: Topic:- vector algebra

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 u = (-1,3)and v = (1, -1), then proj,yu is:

A: Given, u=(-1, 3), and v=(1, -1),   then, projvu =

Q: Provided u = (0,2, 7, 5) and v = (-7,3,7, –5), find w such that 6u+v-7w = 0. 15 1.7. 25 ,7, 7 45 25…

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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: 16.) If u= (2, k, 1, 4) and v= (3,-1, 6,-3), find k such that ||u – v|| = 6

A: Given:        u=2,k,1,4         v=3,-1,6,-3     u-v=6      u-v=2,k,1,4-3,-1,6,-3…

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: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (4, 0, −3, 5), v = (0, 2,…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

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: 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: O, 0) = s not exist

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Q: S Dite Y as b, and Va, îf possi ble. (if not ponible, enter ImporsiBce) V= (9, -24,-13,-14), H,=…

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

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Q: i. Find proj,u and projų v u = (2, –2), v = (3,1)

A: Given,  u=(2,-2) ,  v=(3,1)    We have to find vector projection of v on u

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: find Lenjth f aueetors =く3,-S,l B=くW5> ジ,37 ond く2>

A: Given:- a = <3, -5, 10)> b = <1, 5> v = <2, 5> w = <2, 1>

Q: 6. Evaluate u x v, where u = -e, - 2e, + 2e,, v = 2e, - 2e, +e,.

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

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Q: Let u (41, U2, Uz). Explain why u•u > 0. When is u•u 0?

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Q: Given u = (5,0, 0) and v = (5, 5, 0), which of the following represents u x v?

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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: Given :u=(1,2,3)v=(2,2,-1)w=(4,3,-4)

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

A: The given vectors are:u=2, 1, 4, v=1, -1, 3, w=3, 2, 5

Q: . If u . v = 0 and u * v = 0, what, if anything, can you conclude about u and v?

A: Dot Product The Dot Product is written using a central dot: a · b This means the Dot Product of a…

Q: Determine C if u=v=0 (20 — 5и + 3)dv — (20 + 4и — 6)du 3 0 - 3 27 -1

A: Let's find.

Q: (6) If w = f(u, v), where u = x + y and v = x – y, show that = 2 ди

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Q: U is a neighborhood of x0 and U ⊂ V, The V is a neighborhood of x0. (2) If U1 ...., U2 are…

A: Solution ::

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

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Q: Compute u + v, 2u – v, 3u – 2v, and 0 – 3v if (a) u =| 2 3 2 (b) u= = -3 (c) u = 1 4

A: (a) Consider the given matrices, u=123 and v=201 now, use the matrices addition property,…

Q: If u = [3, - 1] and v = [1,4],compute and draw u + v.

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Q: If f(u, v) = 3uv³, find the following. i f(3, 1) = i fu(3, 1) = i f,(3, 1) =

A: We have to solve

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: If f(x, y, z)=√x²y² z², then fxyz (x, y, z) = 2xyz √x² 1² z² Select one: True O False

A: Given: if fx,y,z=x2y2z2 then fxyzx,y,z=2xyzx2y2z2 We have to state if the given statement is true or…

Q: If u = 0 then u = 0 or v = 0.

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Q: If z2=z then z=0,1 o V3 +i 2 2 3 2 2 1 z=0, 1, - -/-

A: step:-1 Given that z2=z Here, z denotes conjugate of z. Note:- If z=c+i d  then    z =c-i d Let…

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

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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 u = (-1,3)and v = (1, –1), then proj,u is: ) (1,1) ) (2,2) O (-1,1)

A: the projection of u onto v is given by projvu=u.vv2v substitute the values

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

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

A: Linear combination :  A vector v∈V(F) is said to be a linear combination of the vectors v1,v2,...,vn…