Find the Euclidean norm of the given vector. Hint: 7 = 49, 24? = 576 V = 24 ||v|| = Ex: 1

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A: Given ,  The vector v with initial point (0, 0) We have to write v in the form v = a i + b j where…

Q: Q2 (a) Let n E N and let 7, w e R". Show that if ở - = 0, then || † + w||? = || T||? + ||||?. (b)…

A: To answer the given question we shall use the following rule: 1.   If x→∈ℝn, then…

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Q: A. Find the values of a such that vectors and are orthogonal .

A: According to bartleby expert policy only one individual question is to be answered. Kindly repost…

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Q: Find the Euclidean norm of the given vector. 10 v = 24 Hint: 102 = 100, 242 = 576 ||v|| = Ex: 1

A: Given vector is: v=1024

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A: Given,  v=i-ja and w=2i+3j Two vectors are orthogonal if and only if their dot product is zero

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Q: 2 3 Given the following three vectors u = |10], v = -5 and w 6 : 8. -22.

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Q: c. Suppose there is a vector w with u w =

A: Note: As per our guideline we can not author a handwritten solution. Introduction: The dot product…

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Q: Which of the following vectors is in set S = Span { vi = , V2 = V3 = 3 3

A: See the attachment

Q: Find the Euclidean distance between the given vectors. -- - - -8 -26 d(m, n) = Ex: 1

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Let v = ( 1, 2 ), Find a vector w with the same direction as v such that || w || = 7.

A: Let v=1,2 Then,  v=12+22=5 The unit vector in the direction of v is, v=vv=1,25=15,25

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Q: 2. Let Ā and B be nonzero vectors. Find k e R such that B – kĀ is orthogonal to Ā – B.

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A: Proof : let a and b are vectors and m is real number. To prove :   a . b= b . a

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Q: The value of k is 5 so that the vectors u= (30, 6) and v = (5, -k) are orthogonal. O True O False

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Q: At what value of k are these vectors collinear?

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Q: In each part, find the two unit vectors in R² that satisfy the given conditions. 1. The two unit…

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Q: 42. Show that the unit vector ī = xỉ + yj is not parallel to ū = yi – xj for any choice of x and y.

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Q: o find the image of v and the preimage of w. , 2vq – v2 ), v = (1, 1), w = (-7/7, 2, -20) age of v…

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Q: Find the norm of vector v3(3,0,1,4) in R a. 10 b. 15 C. 20 d. 26 OOO0

A: The given problem is to find the norm of the given vector in R4. Given vector v=(3,0,1,4).

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Q: Find the projection of the vector v onto the vector w if v = 2i + j and w = 6i + 3j

A: we have given v and w vectors . We have to find the projection of the vector v onto the vector w

Q: For what values of t and s does the equality (- (2t + 2), 3s + t) = (2s + 4t, 7t – 4) hold true? t =…

A: see below the answer and calculation Equating both sides means the components are equal

Q: Q1) If the vectors A, B, C and D in the same plane, prove (AxB) x (CxD) =0?

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Q: Suppose V₁ is a vector of all entries 1 in R" space, which we call "1-vector". What is ||v₁||2 (12…

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Q: The vectors and are orthogonal. True O False

A: Let a→=-3, 2b→=4, 6

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Q: Find the norm of v, and a unit vector that is oppositely directed to v. (a) v = (3, 3)

A: The given vector is v = 3, 3

Q: Which vector is the orthogonal projection of v = 0 onto W = span -2 °() V3 V6 3 V6

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Q: O let A = i+2j-K, B=-i+j+K, Esi+k, 5z i+2j-K which vectors are: @ perpen dicular Parallel

A: Our are objectives to check which vectors are parallel and which vectors are perpendicular

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Q: Given vector A = (1, -2, xy), it can be said that vector A is uniform vector.

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Q: Find the Euclidean norm of the given vector. v = Hint: 3? = 9, 4? = 16 ||v|| = Ex: 1

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A: Explanation of the answer is as follows

Q: 4 3 Which weights should be used for b = a, vị + a2 V2 to obtain the vector b = ? 2 a1 = Ex: 42 az =

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Q: ind the norm of x and the unit vector u in the direction of a if -5 * = ||| = %3D 2 2

A: The norm of a vector A→=abc is defined by A→=a2+b2+c2.

Q: (b) Find the values of s such that vectors -si – 2j+ 5sk and 9si + j+3sk are orthogonal.

A: The given vector are -si-2j+5sk and 9si+j+3sk