Find the magnitude of the projection of (– 5, – 7) onto the vector (– 8, - 4)

Q: 4. Let u = and w = . Find the resultant vector 4u + 5w.

A: We will find the resultant vector.

Q: Find the following vector.   The vector in the direction of (24,10) with length 4

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Q: Find the coordinate vector of p relative to {p,» P;» P3} for P,. the basis S =

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Q: Show whether R³ of the set B is a base and find the coordinate vector of the vector u = (- 1, -5,9).

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Q: Resolve the vector of 300N at N25W into its rectangular components. Use right/left and up/down for…

A: To resolve the vector

Q: 21. With A as in Exercise 17, find a nonzero vector in Nul A and a nonzero vector in Col A.

A: Given matrix is A=6-4-32-969-6 The column space of A is the space generated by the column vectors of…

Q: Given the vectors ū = (-2, 1, 1) and V = (3, –1, 1), calculate the vector projection of ū onto V

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Q: Find the vector projection of b = 6î + 3ĵ + 2k onto å = î – 2ĵ – 2k.

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Q: The vectors a =(1; 4; 2021) and b = (2; -8; 199) are obviously non- %3D orthogonal because the dot…

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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…

Q: 4. Find the vector v that is orthogonal tou=i+j+k and whose r-component and z-component are 2 and…

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Q: Represent the vector with respect to each of the two bases { ] y = B = B2 =

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Q: Given the vectors u = (2, -2, 3) and v = (-3, 2, – 1), calculate the vector projection of u onto v…

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Q: Find the vector projection of C = ⟨2, −6, −1⟩ onto D = ⟨3, 5, −4⟩ and hence write C as the sum of a…

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Q: Find all vectors in R* that are orthogonal to both 1 1 V1 = and V2 2 -2

A: Linear Algebra: The vectors are: v1=112-2v2=2112Let denote the vector v3=v1v2v3v4

Q: Find the vector v whose initial and terminal points are given below. (5.5,2.1), (9.5, 6.1)

A: Recall: The vector v with initial point (x1,y1) and terminal point (x2,y2) is, v=x2-x1, y2-y1 We…

Q: Write the projection of 2î +3j-k along the vector î+j.

A: Given that: 2i+3j-k along the vector i+j.

Q: Find the vector z, given that u- (9, 2, 7), 2,-1), andw = 0,-4

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Q: A vector u for which || u || = 1 is called a(n)_______ vector.

A: u is a vector whose modulus is 1. u=1 For a vector, if the modulus or magnitude is 1 then the vector…

Q: Find the projection of vector w = onto vector v = . Round all components to the nearest hundredth.

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Q: Find the vector projection of B= 61+ij+2k onto A=1-2j-2k and scalar component of B in the direction…

A: projba = a.ba2b now, <a> = 6i→ + 3j→ + 2k→ <b> = (i→ -2j→-2k→) so, a.b = (6i→+3j→+2k→).…

Q: Let ā= . Find a unit vector in the direction of a

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Q: Find a basis for the space spanned by the given vectors, vl,., v5. 3

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Q: Consider the paints A (-2,3.1),8(0,0.2) and C (-1, 5.-2). (1.) Find a vector of length ST in the…

A: This is a problem of vector calculation. Based on the general formula we will answer the question.…

Q: Consider the basis B of R consisting of vectors and 3 Find a in R? whose coordinate vector relative…

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Q: Sketch the vector b = <3, 4> based at P = (−2, −1).

A: Sketch the vector b=<3, 4> based at P=(−2, −1).

Q: Find the projection ( Projee ) of the Vector. à = 2i +3j +3k on the vector %3D b= i-2j +K. %3D

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Q: 24. Find v x w, where v and w are vectors of length 3 in the xz-plane, oriented as in Figure 16, and…

A: The vectors v and w are in the x-z plane. The cross product of both vectors will yield a vector…

Q: snip

A: If v = <a, b> is an algebraic vector whose initial point is the origin, then v is called…

Q: 5. Show that the vector ortha(b) = b – proja(b) is orthogonal to a. This vector is called an…

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Q: Find the following vector. The vector in the direction of (24,10) with length 2

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Q: Find the norm of i and the unit vector i in the direction of a if ||7|| =

A: Solutions

Q: . Prove that (only one): E - 4y-V3ay is a unit vector? a- F 2 b- A = 6ax - 3a, + 2a, and B = 3a, +…

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Q: Find the coordinate vector of a -2 with respect to the basis B %3D for R.

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Q: Find non-zero vectors I and 7 that are both orthogonal to and orthogonal to each other.

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Q: 26. Find a unit vector whose representations are perpendicular to the plane containing PQ and PR if…

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Q: Let å = . Find a unit vector in the direction of a

A: Givena→=⟨4,−3,−4⟩

Q: Find a basis for the space spanned by the given vectors, vl,., v5. [M]-3

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Q: In what direction should one move from the point (2, 3) to increase 4x?y most rapidly? Present your…

A: The solution is given below

Q: Given that a = (-10,9,13) and b = (14,–6,12), а. i) ii) compute the dot product. find a vector…

A: (i) Given  a→=-10i→+9j→+13k→b→=-14i→-6j→+12k→ Then,  a→.b→=-10i→+9j→+13k→.-14i→-6j→+12k→…

Q: Show that if A is both diagomalizable and invertible, then so is A-1. Find a unit vector in the…

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Q: Find a basis for the space spanned by the given vectors, vl.,., v5. [M]

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Q: Let a = 2i and b = -2i + 3j be two-dimensional vectors. Compute la – b|.

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Q: Find the length of the vector T

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Q: 2 Find The vector novmal to The vector A=2i-3;

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Q: Let ā = . Find a unit vector in the direction of a

A: For any vector a→, the unit vector in the direction of  a→ is a→a.

Q: Find the magnitude of the projection of (7, 7) onto the vector (0, 9) Round your answer to at least…

A: Given 7,7 onto 0,9

Q: Find the vector projection of b onto a when b =2i-4j+3 k, a 3i+j+2 k.

A: Given that: b=2i-4j+3ka=3i+j+2k

Q: Find the orthogonal projection of the vector b =-1 on Nul(A), where -2 -2 3 -10 A = 1 -1 2 3 1 -3 3…

A: For the solution follow the next steps.