Q1) A) If U and v arn 2x1 orthnormal vectors and A =UV", the the brace of Aequal 6o A1 8-1 c) 2 d)o メ2 then NCA) is all mal6,plesof: (4) ) ) 4 () 2. 9.

Q: O Let A BE HUUR). Show that Q AB -BA (A-1I) (B-A1) = (8-A1) (A-1), VA eR 6) CA+B)? = A?+2AB +B? → AB…

A: According to our guidelines we can answer only first three sub-parts and rest can be reposted.

Q: a.) Evaleiate. (6tanx dx

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Q: Calculate the order of the element (4,3) in Z12×Z12 - (8,6,10) in Z18× Z9×Z25

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Q: 3. Simplify i) 101 ii) (-ai)*, deR iii) iv) i10

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Q: 4! find lim, B4,-2) S x approachesto I from postve direction.

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Q: 11a) Are the two lines parallel? Show work 4 (3, 2) -30] 2. (5,-1) 【け1.-B12 2

A: Given: Co-ordinates of line l1=(-3,0) and (3,2) Co-ordinates of line l2=(-1,-3) and (5,-1)

Q: 10. Consider the following vectors a = 1+ 41 - 2k and b =-] + 2k a) Calculate a . b b) Calculate a ×…

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Q: 20) Find two sets f polar coordinetes, (r, o),0LOL2 IT Por the point (6,6) in recten- gular…

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Q: (e) for tue ginen point in poler coordiinetes , fird tue comespandy ctenquler Coorelinetes fer tue…

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Q: 1) Use "Colone Technique" to find x = 20+20+/20+... %3D A) V20 B) V23 C) 6 D) 5 2) Use "Colone…

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Q: Following setsaf vecbr! 3 which of the below ane linear indépendent. A) {!, &s413t} B) {t, ť°,…

A: According to the given information, it is required to check whether the given vectors are linearly…

Q: and = Wnte Pas the sum of two orthogonal vectors, 2 in S panƐu} and orthogonal to .

A: Given that y→=51 and u→=36.It is required to write y→ as the sum of two orthogonal vectors, x1→ in…

Q: find Ca) , Cath) )f $Cath)-fCa) find f cx) -.

A: fx=5 We need to calculate the value of fafa+hfa+h-fah

Q: 1: Let u = (-3,2, 4) and v = (2, -4,6). a) Find u o (v), b) Find u x v. c) Find Proj,u.

A: Here given that                        u=(-3, 2, 4)                and  v=(2, -4, 6)

Q: 5 Find the distance between the points (3,-2) and (6,4) a) V85 units 9.219 go to station 7 b) v79…

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Q: QA) Sup pose A- an if CCA)-CCB) the a, is equal to シニ2 Q) B The calunn space of A 222 w all ve chars…

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Q: 4) y = v4 - 2x +5 5) y = v3x + 2 - 1 6)y = V2x + 7

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Q: Solve for x

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Q: -El--E--E| a) Consider a set of vectors, x =|3 ,y =| 2 , and %3D 14 Can we express the vector, v = 4…

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Q: A. Match the terminologies in column B to its definition or statement in column A. COLUMN A COLUMN B…

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Q: A) 13 B) 글 2/3

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Q: For Jhé fallowing She re LP paoblems, gaph f feasi ble solutions ( f the Ahi Exists) and melhod. One…

A: Since you have asked multiple questions, we have answered the first two questions. If you want the…

Q: If u = 6i +3j, then find 3u. Please show work A) 9i+6j B) 9i+3j C) 18i+9j D) 18i+3j

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Q: 20) Guien vectors ū =, find: a)-3Ù=< %3D

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Q: prove the following : a) a0=0 b) (-a)v=a(-v)=-av c) av=0 implies either a=0 or v=0

A: What is Identity and Inverse Element: Identity element is that element which on performing binary…

Q: 76 39) 461 5x 41) 5x 43) (a2). 20² 45) 2k. (3*°)' 47) (4x³)'x"

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Q: B) If u 5i-j+k, v -5j - 5k , w -i-3j+ 2k. Which vectors are perpendicular? Give reasons for your…

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Q: A parallelogram is formed by the vectors = [3,0,-1] and A) 2-√√35 B) 12 sq.un. C) 5/10 sq.un. D)…

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Q: v₁ = (-1,2,1) ₁₂=(3, 1, 1) v₂ = (5,3, k) For which values of k a) {V₁, V₂, V3} spans 1R² ? b) ₂ 6…

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Q: if the Flo)==

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Q: ) AB =BA A282 = B&A2 e) (B?=I 1 AB= - AB) → AB = BA= O AB = BA =0 %3D

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Q: Let å = [3,-2,1]; B = -21-1-2k; č= i+j;d36j. %3D nd (6+).d)? A) -2 C) -3 G) i + 2j - 2k B) 2 D) -1…

A: a→=3, -2, 1,  b→=-2i-j-2k,  c→=i+j Now, b→+c→=-2i-j-2k+i+j=-i-2k

Q: We know that z = f(ax²+by, ear). .If u = ax²+by ^ v = er fe +aeªr. And we know that dz af 2ax- Then,…

A: I am going to solve the given problem by using some simple calculus to get the required result.