Find a unit vector parallel to the vector a´. a'= (-2,3,–1)

Q: Find the unit vector in the direction of v and verify that it has length 1.

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

A: Unit vector is a vector that has magnitude 1 For a vector v=<x, y, z>Norm of vector v is…

Q: 4. Find a unit vector that is perpendicular to (5,6).

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Q: Find the unit vector in the direction of v and verify that it has length 1.

A: If vector u is given, then the unit vector in direction of vector u is given as,

Q: Find a unit vector in the direction of v = ⟨−2, 5⟩ and verify that it has length 1.

A: A unit vector in the direction of v = ⟨−2, 5⟩ is given by v/|v|

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 the two unit vectors orthogonal to both a = (3, 1, 1) andb = (−1, 2, 1).

A: Given: a=3,1,1 and b=-1,2,1

Q: Find the unit vector in the same direction as the vector u = [8, –7].

A: When you divide a vector by its magnitude you get an unit vector along its direction.

Q: ind a unit vector orthogonal to bothu and v. u = (-8, 7, -2) v = (-1, 1, 0)

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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: 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: Find a unit vector u in the direction of the vector from P1(1, 0, 1) to P2(3, 2, 0).

A: Concept: Unit vector is a quantity which has a magnitude as 1and as well as direction, it is also…

Q: The plane contains the origin and is normal to the vector<4, −1, 5>.

A: Given: (4, −1, 5

Q: 4. Find two unit vectors orthogonal to both j-k and i+j.

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Q: 4. Find a unit vector in the same direction as the vector 8i- j+ 4k.

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Q: is The unit vector in the direction of v=(4,0,–3)

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

A: The given direction is 0,3,-4.

Q: Find the terminal point of a vector of magnitude 5 that is parallel to the vector 1, 2, 3 and whose…

A: We will first find direction of vector using the magnitude and values of initial point and parallel…

Q: Find a unit vector in the direction of u = (3, 4, 5).

A: Given vector, u=3, 4, 5

Q: Find the unit vector u in the directionof the vector v=(1, 2, -2). 8.

A: Given,           v=1,2,-2

Q: Find a unit vector in the direction of the given vector

A: Given:        v=-9,-12 Unit vector formula is the vector divided by its magnitude.  The formula for…

Q: Find two unit vectors orthogonal to both v (1,1,-1) and w-(2,-1,1).

A: Calculation:Compute the two unit vectors as follows.

Q: What is the length of the vector whose initial point is (0, 1, -2) and (2, - 2, 3) 35 A. 38 В. V35…

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Q: 2. Find two unit vectors orthogonal to both and .

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Q: Find the magnitude only for the vector from T(-2, 6, 1) to U(10, -3, -4).

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Q: 6. Find the unit vector that has the same direction as the vector v = 3i- 2j

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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: 6. For the vectors ü = (4, 3) and i= (-2, 3), caleulate the following quantities. (a) la+ 레 (b) la+…

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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: and the unit vector along the direction of u.

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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: o v based at the origin.

A: Sketch the vector v = (2, −3) based at P = (1, 4) and the vector v0 equivalent to v based at the…

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: Find the vector with length V17 and same direction as i= (7,0, –6).

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Q: d a vector orthogonal to both u and v.

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Q: Find a unit vector in the direction of u = (5, 3, 2).

A: Given vector is u=(5,3,2) Find a unit vector

Q: Find the two unit vectors orthogonal to both a = (4, 1, 1) and b = (-1, 4, 1).

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Q: Find a unit vector perpendicular to i-j and to i +k and with a positive k component.

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

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Q: Find a unit vector orthogonal to both u and v. u = -3i - 2j - 5k li 1 3i+ -j + 4 10 V = - 2

A: To find A unit vector orthogonal to both u and v

Q: 4. A unit vector orthogonal to A and whose representations are parallel to the yz-plane.

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Q: Find a vector 2 units long in the direction of v = 4i - j + 4k.

A: First find a unit vector in the direction of v = 4i - j + 4k.

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

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Q: Find a unit vector u in the direction of the given vector. (- 1,2)

A: The given vector is, < -1, 2 >.

Q: Let vector u = and vector v . Find the magnitude of 3u-4v. Round to one decimal place.

A: Let vector u= <3, 4> and vector v = <6, 7> then find the magnitude of vector 3u-4v.