Which vector best describes the translation below? O (4,8) O (8,4) (9,0) O (0,9) O

Q: 1 4 7 Determine whether the set of vectors 2 3 6 9 is linearly dependent or not. If so, find a way…

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Q: 31. The vector perpendici:!at to both 3i –-6j – 4k and -3i + 2j + 2k is A A -4i + 6j + 12k B - 4i +…

A: Cross product

Q: calculate v × w.v = v = (1, 1, 0), w = (0, 1, 1)

A: Given v=<1,1,0> and w=<0,1,1> v×w=i→j→k→110011         =i→(1-0)-j→(1-0)+k→(1-0)…

Q: (а) (4, — 1, 2), (-4, 10, 2) (Ъ) (—3,0, 4), (5, — 1, 2), (1, 1, 3) (c) (8, – 1, 3), (4,0, 1)

A: As per rules, we will solve first three subparts: a) Given vectors are   u=4,-1,2, v=-4,10,2. To…

Q: y = -3 7 4 6] 0 Z = 1 -8 15 -7

A: if two vectors are orthogonal, we need to compute their dot product and check if it is equal to…

Q: Evaluate the Dot Product u * (v + w). If : u = (-5, 7) v = (1, 6) w = (-11, 2)

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Q: Find the cross product a * b. a=(4, 5, 0), b = (1, 0, 7) Verify that it is orthogonal to both a and…

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Q: Find the stable vector of 1 3 4 4 P = 4 %3D 3 7

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Q: 27. Jul 16,0 =

A: Given data÷ Vector u is given by u=ucosθi+usinθj Or  u=<ucosθ,usinθ>

Q: Find a bif a= (4, - 1,5) ar . b = (-3, 8, 5).

A: Here we will find whether given vectors are orthogonal or not,

Q: Find the cross product a x b. a = (4, 5, 0), b = (1, 0, 3) Verify that it is orthogonal to both a…

A: Given vectors are  a={4,5,0} and b={1,0,3} We have to find a×b

Q: What if the vector v was [ 7, 11, 3]

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Q: b. Determine which of list of vectors The following Dinearly independent. Juihfy your. are awnser-…

A: From given vectors it is clear that

Q: What does the span of the following vectors define geometrically? 2 4 23 7

A: To determine: The span of the following vectors geometrically. 123, 247

Q: Find the stable vector of 7 P = 2/7 M5 iii

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Q: Name one vector in R³ that is in the span of in the span of {Q. 3 {0.0} 2 2 Explain your reasoning.…

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Q: In R³ you are given the vectors a = (21,-9, -21,-4) b = (x, -35, -16, -23) Choose a such that b…

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Q: Determine whether the set of vectors is orthogonal. 5 - 3 0 - 3 7 -6 6 Yes No 6 CO LO 5 - 2 Is the…

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Q: e) Let C be a new base of R3. If the base change matrix, from base A to base C is - 10 55 32 35 -5 3…

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Q: Let j TE 2 --- = 1 and u = = Write y as the sum of two orthogonal vectors, #₁ in Span{u} and 2…

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Q: h 2 S4 2- h 45 LT 2 0 O

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Q: Find the vector standard a Ā= (-3.4.5)

A: we know that if v=<a,b,c> then its standard form is v=ai^+bj^+ck^

Q: Working in R³, show that the vectors (2, 3, 1)T, (1, −1, 2), (7, 3, a)T are lin- early independent…

A: We have to find  such that the vector  are linearly independent.

Q: find the components of the vector P1P2. A) P1(5,−2,1), P2(2,4,2)

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Q: find the components of the vector P1P2.   (a) P1(3,5) P2(2,8)

A: Given: (a) P13, 5, P22, 8. To Find:The components of the vector P1P2.

Q: Use the vectors u = i + 6j and v = -3i - 5j. Find 5v + 2u.

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