Let ü = 21 – k and i = i + 3j + k. Compute |ū], |ū], ū × ĩ, and Projzu.

Q: If i = 5+2, à = x - ỷ and b = j – z , show that a =

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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: Q.2. Proof that V= u8--

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Q: show that }I f,lm) Ck-m) 2.

A: For, ∑m=0kf1mf2k-m, substitute k-m=n or m=k-n: ∑m=0kf1mf2k-m=∑k-n=0kf1k-nf2k-k-n…

Q: |u| ≤a is equivalent to __________ .

A: Given |u| ≤a is equivalent to __________ .

Q: Let u, EC prove that ū · v = v · ū น

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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: Let X - N(u,0) so that P(X < 89) = 0.9 and P(X < 94) = 0.95. Find u and o? %3D

A: Given : Normal distribution with mean μ and standard deviation σ   We have been provided with 90th…

Q: Let a=3i-2j, b=-i+4j, r=7i-8j. If r=ka+mb, then k+m=... 1. O -1 2. O 2 3. О 1 4. O 3

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Let ā = and b . Find 3ā + b. -

A: We will simply use vector addition rules to find the answer

Q: Let u = 2i+j-k and w=-3i+4j+k. Find uxw Select one: O 5i-3j- 11k O 5i+ 13j+ 11k O 5i+j+ 11k O None…

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Q: Assume that u v = 6, ||u|| = 3, and ||v|| = 2. What is the value of 6u· (4u – 4v)? -

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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: Given u(x)= x +3 and v(x)= 9x – 4, find u v. O 9x² – 12 - O 9x² + 27x – 4 O 9x+ 23 x - 12 O 9x + 23…

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Q: If u = 5i + 2j, v = i - j, and w = 3i - 7j, find u . (v + w).

A: According to the question, we have to find the value u·v+w, if u=5i+2j,v=i-j and w=3i-7j. The above…

Q: Let j = 7 and U=span(ü), with ü = -6. Write j = ã1+ã2, where 1 in U and az in U-.

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Q: If z, = 1+ jb , Z2 = re¯)² , z1/z2 = -10, determine all possible values of b and r.

A: Consider the provided question,

Q: Given that u =i- 2j + k and v = 2i – j+ 2k, compute the following: (i) u+v (ii) u-v

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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 z1 = 1+ jb , Z2 = re¬1² , z/z2 = -10 , determine all possible values of b and r %3D

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Q: Show that for all u e V, [T(u)]c = A·[u]g. Hint: For i = 1.r, find [T(v¡)]c and then, write u =…

A: Given that . For , V⊆ℝn and W⊆ℝn , V,W are vector subspaces and β=v1 , v2 ,...vr and C=w1 , w2…

Q: Show that if x ~ Nm (u, 2), where N is positive definite, then (x – u)'N-I (x – µ) ~ Xm: 2

A: Given  x~Nmμ,Ω, where Ω is positive definite.

Q: if z 2- j5 and w =1+ j2. evaluate: 4- conj (z) - u 32 + j36 -32 +j36 36 j32 O-36 j32

A: Please check step 2 for the solution.!

Q: Find the degree of Q(V2, V5) over Q.

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Q: Let _X=R². Find M² if M= {(a,1)}.

A: Given that, Let X=R2 Find M⊥ if M=a,1.

Q: If i = j+z, i – j = đ, and j – z = b, show that ā = -15.

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Q: Let a and b be any real numbers. Prove that Cov (ax, by) = abCov (x, y).

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Q: Let u = 21-9), and v= -31+9J. Find u-v. (Type your answer in terms of i and j.)

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Q: Let A = {-i, .,-2, –1,0,1, 2, . i}. Compute the following a) U는1Ai A? = {?} A? = {?}

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Q: If (x+iy) = a+ ib, Prove that + a b = 4(a -b*).

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Q: a) If Z1 = -3 + 3i and Z2 = 4i. Show that: i) Arg(Z,Z2) + Arg(Z,) + Arg(Z2) ii) Arg (2) = Arg(Z,) –…

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Q: 10. Prove that Âx x= A.¿)B. CĀ. B) where. A.ai.+azj.+a3k Babi.itb2j.t.b3.k. !! .. ..

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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: If z̟ = 1 + jb , z2 = re¬j² , z1/z2 = -10, determine all possible values of b and r.

A: According to the given information, it is required to determine the possible values of b and r.

Q: let U = 5i +12j, V =24i + j, and W = i - 4j, and find:   U.W

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Q: Find v Ande betveen U and U=3i+4j

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Q: In AHIJ, HJ is extended through point J to point K, mZJHI = (x+ 12)°, (x- 3)°, and m/IJK = (5x –…

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Q: let U = 5i +12j, V =24i + j, and W = i - 4j, and find:   3U -5V

A: Given: The value of U is 5i+12j. The value of V is 24i+j. Calculation: Substitute 5i+12j for U and…

Q: Assume that u. v = 2, ||u|| = 9, and ||v|| = 3. What is the value of 1u (2u - 10v)?

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Q: ) Prove that Вiт.m) - I(z)(m) for m >0 22'T(m +) 2

A: We use the property of Beta function and relation between Beta and Gamma function to prove the…

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

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Q: Let C: z-il-3 and I = 6. edz $ dz. Then z2 O I- 1= 4ni

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Q: Let x~ N( M, -) Ti- 5, Ź (xi-x)* 2 %3D %3D n -1 Ź(xi- 7)" 2 2. T2 = 2. 2. 2. Check the Consist of 6,…

A: We know that, Y=∑xi-x¯2σ2~χn-12 Then  EY=n-1⇒E∑xi-x¯2σ2=n-1⇒E∑xi-x¯2=n-1σ2---&gt;1…

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

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Q: If u = 3i + j + 4k, v = -i + 2j, and w = - 2i - 3j + 5k, evaluate u · (v x w). O A. 64 О В. 63 O C…

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Q: Then prove that 3 (i) P (AUB) > 1 (ii) <P (An B) S 10

A: Answer: From the given data, P(A) = 3/5 and P(B) = 1/2

Q: Given uo, u1, U2, U3, U4 and ug and assuming the fifth order differences to be constant, prove that…

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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: O Compute z = (1-i)"(13+i)

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