Let u = (6,6) and v = (5,6). Express 4u+7v in the form (a,b). 4u + 7v= ( (Simplify your answers.)

Q: Find u · v, u· u, ||v|2, (u · v)v, and u · (3v). u = (2, 12), v = (-3, 2) (a) u. v (b) u.u (c) ||비2…

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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)…

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Q: Find (u - 2v) · (2u – v), given that u · u = 5, u. v = 6, and v · v = 9. %3D

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Q: Find lul, Ivl, 12ul, |2v|, lu + vl, lu − vl, and _|u| - |v|. u= 5i + j, v = 2i - 4j

A: We need to calculate the magnitudes of given vector and evaluate the given expressions.

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

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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…

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Q: Givenu = -3i+j and V = -2i - 5j, find u + v. O 11 01 06 O 13 O 17

A: Given that u=-3i+j and v=-2i-5jTo find : u+vSolution :u+v=-3i+j+-2i-5ju+v=-5i-4j

Q: Let u = (5, - 3), v = (-2,9), and w = (0,- 2). Express 7u-3v+w in the form (a,b). %3D 7u -3v + w =…

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Q: Let u = (7,- 4), v = (-6,7), and w = (0, – 7). Express 7u - 2v +w in the form (a,b). %3D 7u-2v+ w=…

A: Given  u=7,-4v=-6,7w=0,-7

Q: Find Jul, Ivl, 12ul, , lu + vl, lu - vl, and lul - Ivl. u = 31 + j, v = 5i - 2j Jul = |vl = |2u| lu…

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Q: construct vw so that v= 2ab?

A: Here VW  and AB are line segments . To construct VW ,so that VW=2AB

Q: Find u x v, v x u, and v x v. u = (5, 6, -4) v = (-6, -9, –8) (a) ux v (b) v xu (c) v x v

A: We can make it easier for you

Q: Find Jul, Ivl, 12u|, , lu + vl, Ju – vl, and Jul - Ivl. 2i + j, v = 3i – 5j u =

A: The given vectors are Compare the given vectors with  where xi and yj are vector components of…

Q: Let u= (3,-5). v = (-3,6), and w (0.- 6). Express 8u- 2v + w in the form (ab) %3D 8u- 2v + w= D…

A: Let u=3,-5, v=-3,6, and w=0,-6. Express 8u-2v+w in the form of a,b.

Q: Find all values of x so that u · u = 50, where

A: Given u·u=x34.

Q: Let u = (6,-4), v = (-3,9), and w= (0,-7). Express 9u-2v + w in the form (a,b). 9u-2v+w= (Simplify…

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Q: Fined exy if w:f),4メーク(V=ズ」 し EXpress the anscwer in terms of U, V, fy fv soly wメyニ

A: The given question is solved in step 2.

Q: Find Jul, \vl, [2ul, , lu + v[, Ju – v\, and Jul - 2 (2, –10), v = (-4, –4) Ju| %3D |2u| %3D Ju + v|…

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Q: Find u · v, u· u, ||v ||, (u · v)v, and u · (3v). u = (2, 11), v = (-5, 2) (a) u. v (b) u u (c) (d)…

A: Given u=<2,11>and v=<-5,2> This implies that u=2i+11j and v=-5i+2j We know that if…

Q: Find |?|, |?|, |2?|, 1/2v, |u+v|, |?| − |?|. ? = 4i + j,    ? = 2i − 3j   |1/2v| =  |u+v|= |u-v|=…

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

Q: Find v ·u. • u. v = -7i +2j and u = 5i +5j O -45 O -35i + 10j O -25 O -2i + 7j

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Q: E an= 5an-1 -6an-2 + 57 do = -2, a, = 5 %3D

A: We have given an=5an-1-6an-2+5n5 , a0=-2 , a1=5 Rewrite the relation as. an-5an-1+6an-2=0 So, the…

Q: У ,ーテ = ,-, + テ-テ - y = y: ij ij i. i. and (y;-y 10, – 7,) + 6, - 7) | ij ij i. ーリ-bー)+G.-) 2 2 2…

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Q: Find Jul, Iv], |2u], v, lu + vl, ļu – vl, and Ju| - |vl. u = 5i + j, v= 4i – 3j Jul = |v| = |2u| Ju…

A: Given: u=5i+j, v=4i-3j We know that if a= xi+yj+zk then a=x2+y2+z2

Q: Find u v, u·u, ||v||², (u · v)v, and u · (3v). (5, -2, 4), v = (0, 7, 5) U = (a) u V (b) (c) ||v||?…

A: The given vectors,  u=5,-2,4, v=0,7,5

Q: Find u xv and determine whether u x v is directed into the screen or out of the screen. |v|= 4 45°…

A: We have a×b=absinθ So,  u×v=uvsin45°=3×4 sin45°=12×12=62 Hence, u×v=62

Q: Find Al, IB|, AB, and |AB|. Then verify that JA||B| = |AB|. %3D -1 0 0 040 -1 4 1 A = 101 B = %3!…

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Q: Let u = (5, - 3), v = (-4,7), and w = (0,4). Express 9u - 4v + w in the form (a,b). 9u - 4v + w =…

A: Multiplying a vector by scalar is process of multiplying each of its components by that scalar and…

Q: Find (3u − v) ∙ (u − 3v) when u ∙ u = 8, u ∙ v = 7, and v ∙ v = 6.

A: Given, u ∙ u = 8 u ∙ v = 7  v ∙ v = 6 To find:   (3u − v) ∙ (u − 3v)

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: Let u = (3,-2), v = (-2,5), and w = (0,1). Express 10u-4v+w in the form (a,b). 10u-4v+ w= (Simplify…

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Q: Find u x v, v x u, and v x v. u = (5, 6, -4) v= (-6, -9, -8) (a) ux v (b) v xu (c) v x v

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Q: Find |A|, |B|, AB, and JAB|. Then verify that JA||B| = |AB|. -1 21 10 1 0 1 0 -100 0 20 0 0 6] A = B…

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Q: Find lul, Ivl, 12ul, |⁄2v|, lu + vl, lu − vl, and [u] – [v]. u = 2i + j, v = 4i - 5j

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Q: true. Show that (a v bc)(a Abc); but the converse is not

A: Solution:

Q: write of linear Combination as a V,Vz, V3 where V= (2,7,10), V.=(1,2,3),V2=(1,3,5), V3=(1,5,9)

A: Let us assume v can be expressed as linear combination of v1, v2 and v3 v=av1+bv2+cv3…

Q: Assume that u- v = 7, ||u|| = 3, and ||v|| = 3. What is the value of 5u- (9u – 7v)?

A: Given, u.v = 7  u = 3    and   v = 3   We have to find the value of 5u.(9u-7v)

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

Q: Find Jul, |vl, 12ul, v, lu + vl, lu – vl, and Jul - Ivl. u = 4i + j, = 5i – 3j v = |v| |2u| %3D lu +…

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Q: iR wa fcu) and メッ show that u ニ メャッ? 2 X Jw ニ0

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Q: Find 2u 3v. u=6i, v=j

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Q: Determine whether R3 = span(u, v, w) if

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Q: Find u, 3v, v-u, and 2u + 5v. u (5, 3), v (4,-5) (a) u (b) 3v (c) v-u (d) 2u + 5v

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Q: Find (u - 3v) · (3u – v), given that u u = 9, u v = 6, and v . v = 8.

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Q: If v = i - 2j + 2k, u= 4i - 3k the Projuv is : 6. i + 25 -8 -1 -i + 25 25 25 Option 3 O Option 1

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Q: Find u v, u· u, ||v||2, (u · v)v, and u · (3v). = (2, 11), v = (-5, 2) %D (a) A. n (b) u u (c)…

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Q: Hw/ Findo(2+3i).(6-2 i),@ (3+j2). (4-j5) O 13+j4).(3-ju)

A: It is Complex number problem.

Q: Find 3v, v-u, and 2u + 5v. u 3 (4, 6), v = (2, -7) 3D(2,

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Q: Find u v, u u, ||v, (u v)v, and u (3v). u = (2, 10), v = (-4, 2) (a) u V (b) U u (c) |v|| (d) (u v)v…

A: To find the given terms for the given vectors u=<2,10>, v=<-4,2>