Find a unit vector e, where v = (1, 2, 3). ev

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

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Q: find the given vector  Unit vector ew where w = (24, 7)

A: Given: w=24,7

Q: Find the unit vector e, if i = ( – 2, 2) ey =

A: Given: v→=-2, 2 To find the unit vector ev→ The formula to calculate unit vector is ev→=v→v→

Q: Find a unit vector orthogonal to both u and v.u = −i − j + k v = i − j − k

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Q: (A) Find the vector that is Normal to: A = 2i + 3j +k and such that it is lies in the plane…

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Q: Find ||e − 4f||, assuming that e and f are unit vectors such that ||e + f|| = √3.

A: The step-by-step solution to the given question is ..  we have ,  e+f=3..........(1) we have to find…

Q: Find the unit Vector e(subv) where v=(2,2,1)ev=?I appreciate the help in advance

A: Formula used:Unit vector in direction v is

Q: Find a unit vector in the same direction as a= 0 i +3 j. i+ j.

A: Given:a=0i+3j

Q: Find a unit vector orthogonal to both u and v. u = -5i – 3j - 2k | V =

A: Two vectors A and B are said to be orthogonal to each other if and only if their dot product is zero…

Q: Prove with a diagram the following: If e is a unit vector orthogonalto v, then e × (v × e) = (e × v)…

A: Cross product of 2 vectors A→ and B→ at angle θ is given by the expression A→×B→=|A→||B→|sinθ n^.…

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

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Q: find the given vector. ev, where v = (1, 1, 2)

A: Consider the provided vector, v=1,1,2 Find the given vector. A unit vector just means a vector whose…

Q: Her the vec vector fie

A: Consider a vector field  F=x4y5,x5y4 Let F=F1,F2 Now to show the vector field is conservative  That…

Q: 2; Find a vector of magnitude 3 in the direction v = (0, 3, –4)

A: The given direction is 0,3,-4.

Q: Sketch the following vectors, and find their components andlengths: i + j + k

A: The vector is i+j+k sketch the vector and find its length.

Q: Find a unit vector in the direction of the given vector. Verify that the result has a magnitude of…

A: See below

Q: Find the magnitude of the vector AB A=(4, 1) and B=(-3,0)

A: Given that, A = (4, 1) B = (-3, 0) We have to find the magnitude of the vector AB.

Q: 1. Find a unit vector pointing in the same direction as v = 2i – k.

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Q: Find a unit vector orthogonal to both u and v.u = i − 2j + 2kv = 2i − j − 2k

A: Given  u = i - 2j +2k = < 1, -2, 2 >v = 2i - j - 2k = < 2, -1, -2 >

Q: Find a unit vector u with the same direction as vector v =

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Q: 1. Find a unit vector in the direction of v =

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Q: In Cª, find a unit vector ū that is a positive real number multiple of z = (1 – i, i, 2, 3+ 4i).

A: Introduction: For a given complex vector z=z1,z2,...,zn, its length is formulated as…

Q: Find a unit vector orthogonal to A in the plane of B and C if A = 2i - j + k, B = i + 2j + k, and C…

A: The given details are as follows.

Q: Find a unit vector e, wherev (3, 6, 1). ey= 1. Submit answer

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Q: Determine a unit vector perpendicular to both A=i+2j-3k and B=-2i-3j+k

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Q: Find a unit vector orthogonal to both u and v. u = 31 - 2j - 5k V = +

A: Given: The given vectors are: u=3i-2j-5kv=12i-34j+110k To find: Unit vector orthogonal to both u and…

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

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Q: Is (1, 1) a unit vector? Explain.

A: We know that if any vector a→=a1i+a2j+a3k will be a unit vector then its magnitude a→=a12+a22+a32…

Q: If u and v are vectors in Rn, what is the relationship between uT v and vT u? Are they equal?…

A: We are given the vectors,  u and v are vectors in Rn. Let us use the notations,…

Q: Find ||v|| and find a unit vector in the direction of v.v = (0, 2, −1)

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Q: Find the magnitude of the vector AB A=(0, 7) and B(-24,0)

A: Given : A = (0, 7) and B = (-24, 0)   To find the magnitude of the vector AB.

Q: 3. Find two unit vectors orthogonal to both j − k and i + j

A: We will find the two unit vectors orthogonal to j-k and I+j as following.

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 unit vector that is orthogonal to both ı̂ +ȷ̂  and ı̂ +?̂

A: Given query is to find the unit orthogonal vector to the given vectors.

Q: Find a unit vector e, where v = (4,2, 5) ey = %3D

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Q: Find a unit vector u in the direction opposite of (-1, –1, –10). U =

A: We have given a vector.  We have to a unit vector in the direction opposite of <-1, -1, 10>

Q: Find a unit vector orthogonal to both u and v.u = 3i + j v = j + k

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Q: Find a vector v parallel to u=−7i+j−6k and with magnitude ||v||=12.

A: Given,          A vector v parallel to u=−7i+j−6k and with magnitude v=12.

Q: Find the length of the vector T

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Q: Find a unit vector in the same direction as a= 0 i + 4 j. . i + j.

A: Unit Vector: In Vectors, a unit vector is defined as a vector whose magnitude is unit i.e. 1. A unit…

Q: Find a unit vector orthogonal to both u and v. u = i + 2j + 2k v = 2i +j – 2k

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Q: Find a unit vector that is orthogonal to both i +j and i + k.

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Q: Find the given vector. Unit vector ey where v = (9, 40) ev

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Q: Find the unit vector u in the direction of v. Verify that u| =1. 12. (1,–6)

A: solution is given below..

Q: Find a unit vector that is orthogonal to both u and v.       u = −3i + 2j − 5k,    v = i − j + 4k

A: u=-3i+2j-5k,  v=i-j+4k Now the vector orthogonal to both u and v is, w=u×v=…

Q: Determine a unit vector perpendicular to both A=i+j-k and B=-i-j+k

A: Cros product of two vector give third vector which is perpendicular to both vectors.

Q: Find a unit vector e, where v = (4,9, 4). ev

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Q: What is the vector j?

A: We have to tell what is vector j   it is also written as j→

Q: Find a unit vector u in the direction opposite of v = (2,8,-3).

A: Solution ) v =  { 2 , 8 , -3 }   vector with same magnitude and opposite direction   = { -2 , -8 , 3…