Find the length of the vector T

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A: We mark x, y, z axis.  Since it is a unit cell, so it will be 1 unit length on all direction axis.…

Q: Find the vector with the given length || v || = 3, and in the direction of u = (0,2,1, -1)

A: Sol

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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: Find a vector v such that ||v|| = 20 and v is in the same direction as 15i + 15j

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Q: What are the components of vector a, given the following information

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

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Q: Find the parallel projection of the vector v = onto the vector w=.

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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

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Q: Find vector V such that the vector has a length of 16 and makes an angle of n/3 with the x-axis.

A: Given problem:- Find vector V such that the vector has a length of 16 and makes an angle of π/3 with…

Q: Find a vector v such that ||v||=20 and v is in the same direction as 15i+15j.

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Q: Find the x-component of the vector of length 3 in the direction of V = (-1,-1).

A: v=<-1,-1>=-i-j Unit vector in the direction of vector V i.e.,     v⏜=-i-j(-1)2+(-1)2 =-i-j2…

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

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Q: Find the B-coordinate vector fe

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Q: Find the unit vector in the direction of v = (3, −1, 2), and verify that this vector has length 1.

A: Vector v = (3, −1, 2) Such that,

Q: Find the Unit Vector for the given vector ,

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Q: Find the vector of length v7 in the direction of AB + AC

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

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Q: Compute the distance between the vectors u = and

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Q: Find a unit vector that has the same direction as the vector 87 – j + 4k.

A: Find a unit vector that has same direction as the vector 8i- j+ k.

Q: Find the value of c that will make the vector 2 lie in the span of 0 2 and

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Q: B

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Q: Find the vector v with the

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

Q: 1. Describe the vector that translates DEF to D'E'F'.

A: Given,          The vector that translates DEF to D'E'F'.

Q: () 1 (b) Find the length of the component of the projection of the vector a = vector 6 = 2 () onto…

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Q: Consider the vectc 5, as shown in the Write the vector in , where a and b ar places.

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Q: Find the following for the vectors

A: Given that: v=-9i+ju=-5i+7j     NOTE: As per our answering guidelines, we can only answer 1 question…

Q: Find the unit vector of u=.

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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: = - A. Find the unit vector that makes an angle (0 with the positive x-axis.

A: The unit vector makes an angle θ=-3π4 with positive x-axis

Q: 3 Compute the length of the vector v =

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Q: Let V be a Pinite-diemeniond Vector

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

A: Givena→=⟨4,−3,−4⟩

Q: (b) Find a vector i that is parallel to ↑ and perpendicular to L.

A: As per your demand, we solve part b) only

Q: Find a vector that is oppositely directed to v = with a length of V3

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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: B. Find a vector has length 10 in the direction of vector V=.

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Q: Consider the vectors x1 = (2, 1)T and x2 = (6, 3)T . Determine the length of each vector.

A: Given: x1=2i+j, x2=6i+3j we know that for any given vector v=ai+bj, length l of vector is given by…

Q: Find self-value and self-vectors.

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Q: Find the values of ( x ) such that the vectors and are orthogonal.

A: Given: The two vectors are: 3,2,x and 2x,4,x Also, the two vectors are orthogonal.

Q: Let v=-6i+3j. Find the vector 7v

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

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Q: Find a nonzero column vector u such that Cu = 4u.

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Q: Find the given vector. Vector v of length 4 in the direction of = (-4, -4)

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