Compute the distance between the vectors u = and

Q: Find a unit vector that is orthogonal to both u and v for u = and v = .

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Q: Find the unit vector in the direction of v and verify that it has length. v = ⟨−6.2, 3.4⟩

A: Now magnitude is,

Q: Find a unit vector perpen dicular to the plane of the vectors a = (2, -3,1) and b = (1, 2, -4)

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Q: Find two linearly independent vectors perpendicular to the vector 1 3

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Q: Find a non-zero vector perpendicular to the vectors and ú =

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Q: u.v<0, u.w < 0 ,w .u < 0 ?

A: Given data:     The given first vector is: u. The given second vector is: v. The given third vector…

Q: find "a" so that the vectors v=i-ja and w=2i+3j are orthaganal?

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

Q: Find the angle between the vectors u = (1, −1) and v = (0, 1).

A: Given query is to find the angle between the vectors.

Q: snip1

A: orthogonal to u means the dot product of the vectors should be zeroso v.u=0xy.31=03x+y=0from here we…

Q: A three-dimensional unit vector parallel to the y-axis is

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Q: find the given vector  Vector of length 2 in the direction opposite to v = i − j

A: A vector oppositely directed to v=i-j is is u=-v=-i-j=-i+j                   u=-i+j A unit vector eu…

Q: Find a unit vector in the direction of vector (v= ai + bj ) and orthogonal to the vector ( u= 3i -…

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Q: Find the length of the vector a %3D

A: The length of a vector x→=abc is given by the equation; ||x→||=a2+b2+c2

Q: Find two vectors of norm 1 that are orthogonal to the vectors u = and v =

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Q: Prove the stated property of distance between vectors. d(u, v) = 0 if and only if u = v

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

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Q: Find a vector that is oppositely directed to v = with a length of 4

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Q: 2.) Find two vectors that are orthogonal to the vector v = 8i - j

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Q: Find the angle θ between the two vectors.u = (0, 4, 0, −1), v = (1, 1, 3, −3)

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Q: 10) Find two vectors of norm 1 that are orthogonal to the vectors u = and

A: Consider the provided question, u=12-23 and v=2134 Let w=ABCD be such a vector,Then, w·u=0…

Q: Find two linearly independent vectors perpendicular to the vector 4 v =

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Q: Find the length of the vector. v = (0, 9)

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Q: Find basis for the set of vectors in R'on the line y = nx. Where n=9.

A: Note that ℝ2 forms a vector space over the field of Real numbers ℝ. Let W =x1x2∈ℝ2  : x2 =9 x1 ,…

Q: Find the angle θ between the vectors.u = (1, −1, 0, 1), v = (−1, 2, −1, 0)

A: The given vectors are, u = (1, −1, 0, 1), v = (−1, 2, −1, 0)

Q: what is the distance between the vectors  u = (0,1,2,3) and  v = (1,0,4-1)

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Q: Let x and y be two orthogonal vectors. Then prove that +

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Q: Find the unit vector u in the di rection of the vector v=2(2, 1, 2).

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Q: Find the vector v with the

A: Given, the vector               v=3, and u=0, 3, -1, 1

Q: Find the length of the vector.v = (0, 1)

A: If Vector V = (V1,V2, V3) then the length of Vector ||V|| = (V1)2+(V2)2+(V3)2

Q: 3 Compute the length of the vector v =

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Q: i +j +k andi – j -k.

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

Q: Compute the angle between the vectors u = [2,1, -2] and v = [1, 1,1].

A: Given: u=21-2   and   v=111 Formula Used: cosθ=u.vuv

Q: 1) in triple dot of vectors |(A x B).C| = |(C x A). B|, where the vectors %3D A,B, and C are not…

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Q: Show that the vectors do not span R' by giving a vector not in their span.

A: Solution :-

Q: Realize the Cauchy-Schwarz inequality for the vectors x= ( -1, 2, 4,3), y=(0,-2,1, 4) ∈ R4 and find…

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

Q: State the difference between a position veetor and a line vector.

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Q: . Let x and y be two orthogonal vectors. Then prove that

A: If x is any vector then Euclidean norm or 2-norm is denoted by ||x||2 and is given by  ||x||2 =…

Q: Compute the distance between the following vectors: 2 2 w = 3 v = -4 1

A: Hope it is useful

Q: Find the angle θ between the vectors.u = (3, 1), v = (−2, 4)

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Q: Describe all vectors v that are orthogonal to u

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Q: Find the weighted Euclidean distance between the given vectors. -- - - u = 3 with weights w = d(u,…

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Q: Find the angle θ between the vectors.u = (0, 1, 0, 1), v = (3, 3, 3, 3)

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Q: Find the vector of length 10 with the same direction as w = (2, V2, V3).

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Q: Find the length of the vector T

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Q: Find a vector orthogonal to the vectors and

A: This problem belongs to vector section and we solve this using dot product concept

Q: Find a unit vector u that had the same directions as the vector v= (-3,3,-2)

A: Use the basic property of unit vector

Q: Write y as the sum of two orthogonal vectors, x1 in Span{u} and x2 orthogonal to u

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Q: Find two linearly independent vectors perpendicular to the vector i = |3

A: to find linearly independent vector perpendicular to vector v→=139 solution let X=x1x2x3 as we know,…