Given u and v, find proj, u u = [-1,3] v = [-7,4] proj, u = [Ex: 1.234 ), Ex: 1.234

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

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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: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v= (6, 9) a = b =

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

A: Add the two complex numbers then write the imaginary part.

Q: Find (a) u × v, (b) v × u, and (c) v × v. u = i + 2j − k, v = i + j + 2k

A: Given vectors are (a)

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: For v = (1, 4), w = (3, 2), calculate:(a) v + w (b) 5v

A: We have been given that v=(1,4) and w=(3,2)Our Aim is to calculate:-(a) v+w=(1,4)+(3,2)=(1+3,…

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: If r(t) = , find r '(t), T(1), r ''(t), and r '(t) ✕ r ''(t).

A: Given  r(t) = <4t, 6t2, 2t3>

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t).

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Q: Given that v = and w =. Find

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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: Find u x v, v x u, and v X V. u=i-j, v=j-k

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

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Q: If u = 31 + j+ 4k, v = -i + 2j, and w = - 2i - 3j + 5k, evaluate u · (v x w). Lütfen birini seçin: O…

A: Given  u=3i+j+4kv=-i+2jw=-2i-3j+5k We need to evaluate u.(v×w)So, v×w=ijk-120-2-35=10i+5j+7k

Q: If r(t) =  , find  r'(t), T(1), r''(t), and  r'(t) × r ''(t).

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Q: r(0)=, find v(t) and r(t).

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Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (1, 4), v = (2, 1)

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

Q: Determine values of x and y so that v · w = 0 and v · u =

A: There are vector representation given as, v=x1y , w=x-20  and u=0-9y. To find the value of  x  and y…

Q: Find a and b such that v = au + bw, where u = v = (7,2) a = b || || = (1, 2) and w = (1, -1).

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Q: Evaluate r'(t), r"(1), r'(t)·r"(t), and r'(t)×r"(t).

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

A: Let's consider w = (a, b, c, d) So w + u = (a, b, c, d) + (1, -1, 0, 1) = (a + 1, b - 1, c, d + 1)

Q: Given u and v, find proj, u. и%3D-7, -4, -9] v = [-8, –6, 9] proj, u = %3D | Ex: 1.234 , Ex: 1.234…

A: We use the definition of Dot Product of vectors, Length of a vector, and Projection of one vector…

Q: Find a and b such that v au + bw, where where u (1, 2) and w - v- (0, 6)

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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 2 (v x u), given u x v = (-, 5, 8). %3D

A: u×v=-83, 5, 8

Q: Express the following as a linear combination of u = (4, 1, 6), v = (1, -1, 5) and w = (4, 3, 8).…

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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: Find u+v given u= (0,5,4) and v=(3,-4,4). a) Ju+v|-59 Ju++ -/59 u+ v|=11 b) c) d)

A: Find norm of u+v

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). v = (0, 24) V = a = b =

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Q: Ex Find lull, , u.v, and d(4,v). U = (-1,1) , v= (7, 9) O d(u, v)

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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: b(A, B) = tr(AB), where V = M2 (R) and A, B E V. b(p, q) = p(0)q(0) +p'(0)q'(0) + p" (0)ď"(0), where…

A: This is a problem of inner product space.

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

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

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 T ∼ Γ(r, λ). If μT = 8 and σ²T = 16, find r and λ.

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Q: Find (a) u × v, (b) v × u, and (c) v × v. u = (3, −2, 4), v = (1, 5, −3)

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Q: (b) Evaluate at the point (s, t) = (1, 2). Əsət

A: As per requirement, we we solve part b) only Given function is z=fst-3,s2+t3 f1-1,9=3, f2-1,9=7,…

Q: Given u and v, find proj, u. u = [6, 1] v = [-4, 7) proj, u = [Ex: 1.234 , Ex: 1.234

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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: For u =(5,-5) and v = (-3, 2) find u. v. u v = 2.9 u•v=

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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: Given f(u, v), where u = x² y, v = xy? If at the point (2,3), f, = 4, fm = 3, fm = 5, ƒ, = 1, fm =6.…

A: Given; u=x2y, v=xy2

Q: Find (a) u × v, (b) v × u, and (c) v × v. u = 2i + k, v = i + 3k

A: Given that, the two vectors u = 2i + k, v = i + 3k To find the following (a) u × v, (b) v × u, and…

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…