H.W2 A- 31-1-2k, - -61 + 2j + 4k, č = -44+ 2 Find 1) The unit vectors of A, , 3) A.W, 2.2

Q: 1 -2 Let uj = -2 and uz = -17 -4 8 If W = Span {u1, Uz}, determine whether each of the following…

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Q: a= b=

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Q: B) Determine if the two vectors are orthogonal or parallel or not? A=6i + 6k and B--2i +2j+2k

A: We have to check that the two vectors A→ and B→ are orthogonal or parallel. So, we find the angle…

Q: Determine whether the following series converges. Justify your answer. 00 Σ k=1 5k e V5k (Type an…

A: The given series is ,      ∑k=1∞15k e5k  (.)  Integral  Test :  If  for  x ≥ 1 , f(x)  is…

Q: Given the two vectors u = (2, -4, 5) and = (-4,-2,-2), calculate the following. Write vectors in…

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Q: Q1 Given A= 3i-7j+5k, B = -i+7j-k, C = 4i-j+k. Find the unit vector of: (а) А-В+С (b) АхСхВ

A: The vector addition can be performed by the addition of the respective elements. The elements with…

Q: Using the vectors, find the angles of a triangle whose vertices are points A(-1,0,2), B(2,1,–1),…

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Q: sider the following coordinates and vectors, A(-2, 1, 0), B(2, -2,0), u = 3i + 2k, v = 4i + 7j+5k,…

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Q: (3) For what value of a the vectors: a = 51 +6j-k and b=2i+(3+a)j- ak A. B = AB cos 90º =…

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Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: Consider the following vectors. - (1.80 m)i + (3.00 m) 3 -(-4.00 m) i-(5.80 m) B: 4.50 m, at +65.0⁰…

A: Given that A= (1.80m)i+(3.00m)jB=(4.50m) at +65.000B=4.50m cos 650+4.50 sin 650B=1.90i+4.08jC=-4 i…

Q: 5Q Determine if the given vectors are orthogonal, parallel or 1 i. a=, b= ii. a=, b=> iii. a=i+2j…

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Q: For the following three vectors are given in Cartesian coordinates: A₁ = [-4,3], A₂= [13,5], and A3…

A: The given vectors A1=-4, 3, A2=13, 5, and A3=12, 13. We have to find the values of a) A1, A2, A3 b)…

Q: Find a + b, 4a + 5b, lal, and la - bl. (Simplify your vectors completely.) a = (-5, 12), b = (10, 4)…

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Q: 36. Given vectors A, B, C and D (Fig.(b) below). Construct (a) 3A-2B-(C-D) (b) C+(A-B+2D). 30° 100…

A: The vectors A→, B→, C→ and D→ are given.

Q: Find the angle between the vectors a =i -j+k and b=i+j-k. (Write your answer in form of decimal and…

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Q: Vectors a=(;) b=(;) c=(?) 2a + 3b + 4c = (

A: So here we have to add the matrix by multiplying given conditions so I'm providing hand written…

Q: (c) a-i+25+5k and 6 3i+ 45-E d) ä = 2i + 6j - 4k and 6- -3i - 95 + 6k

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Q: y, 2023. Answer each of the following for vectors u = 1023 073 All rights reserved. -5 5 and v = 3

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Q: Find 9a + 76, la, and la -6. (Simplify your vectors completely.) a=9i8j+7k, b =77-9k

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: (4) You are doing some calculations about a solar panel on the roof of a house as shown in the image…

A: Given: Let the given vectors are a→=-10, 0, 6=-10i^ + 0j^ +6k^b→=0, 4, 0=0i^ + 4j^ + 0k^s→=13, 23,…