Find a unit vector orthogonal to both u and v. u = (-4, 5, -2) v = (-1, 1, 0)

Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) v = (17, -18, –1) V =

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Q: Find a unit vector that is orthogonal to both u = (2, – 10, 8) and v = (4, 6, – 8).

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Q: Find a unit vector orthogonal to both u and v. (-3, 4, –2) (-1, 1, 0) u = V = 2 2 1 3' 3' 3

A: Given two vectors u and v, then the vector that is orthogonal to both u and v is their cross…

Q: Find a unit vector u in the direction opposite of (–10, –5, –9). u =

A: Let v=-10,-5,-9 So, the unit vector in the opposite direction is,   u=-v→-v→

Q: Find a unit vector in the direction of v = (-2, 8, 6). %3D

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Q: 5. Determine the value of a so that the vectors v = perpendicular. (a,3, -2) and v - (2, -2a, 1) are

A: Solve the following

Q: 1. Find a unit vector that has the same direction as the vector (-4, 2,4).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Let v = (-3,5, –5). Find a unit vector in the same direction as v.

A: on solving this we get

Q: Find a unit vector orthogonal to both u and v.u = (2, −1, 3) v = (1, 0, −2)

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Q: 4. Find a unit vector that points in the same direction as v = (1,3,9).

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Q: Find the initial point A of the vector that is equivalent to (3,7), and whose terminal point is…

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Q: Find a unit vector perpendicular to both u = (2,3, –4) and v = (-1,1,–4). %3D

A: The unit vector perpendicular to u and v is given by: w=±(u×v)|u×v|

Q: Find a vector that is orthogonal to v =〈1, 2, 1〉 but not to w =〈1, 0, -1〉

A: Given: Find a vector that is orthogonal to v =〈1, 2, 1〉 but not to w =〈1, 0, -1〉

Q: Find a unit vector orthogonal to both u and v.u = (−4, 3, −2) v = (−1, 1, 0)

A: Given u→=(-4,3,-2)v→=(-1,1,0) unit vector orthogonal to both u and v is gruen by     u→×v→‖u→×v→‖

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

A: Given vector, u=3, 4, 5

Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) v = (17, -18, –1)

A: the given vectors are: u=-8,-6,4v=17,-18,-1 we have to find a unit vector that is orthogonal to both…

Q: Find axb, a vector orthogonal to both vectors a' and b. a = (-3, 2, 1) and =(4, -2,5)

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Q: Verify the Pythagorean Theorem for the vectors u and v.u = (4, 1, −5), v = (2, −3, 1)

A: Given   The vector u = (4, 1, −5), v = (2, −3, 1) Pythagorean Theorem for the vectors

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: Find a unit vector u in the direction of v = (2,-1,5) Ou-( 30 /30 1. u = 30 30 O None of these (4,1,…

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Q: Find a unit vector that is orthogonal to both u and v. u - (5, -1, 3) v = (1, 0, -2) %3D

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Q: Find the unit vector parallel to the sum of the vectors a [2, 4, -5], b = [1, 2, 3]. a.

A: Two given vector are ; a= 2i + 4j - 5k b= 1i+ 2j + 3k Resulting of vector a  & vector b  R= a+ b…

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

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Q: 4. Using the vectors: ü=[2,-1,3], v=[4,5,-2], w=[1,-1,7], calculate: a) b) ux v c) ū+ v +2w

A: Here we have to perform the vector operation

Q: Find the angle θ between the vectors.u = (1, 1, 1), v = (2, −2, 2), ⟨u, v⟩ = u1v1 + 2u2v2 + u3v3

A: u = (1, 1, 1), v = (2, −2, 2), ⟨u, v⟩ = u1v1 + 2u2v2 + u3v3 We need to find the angle θ between the…

Q: Find a unit vector in the direction of v = (-6, 8).

A: we have to find a unit vector in the direction of v=-6,8   as v=-6,8 therefore, v→=-6i+8j as we know…

Q: Let the vector be x = (5,6), determine its coordinates relative to the base B = {(1,1),(-1,2)}}

A: Introduction: When a basis is provided, one can represent a vector belonging to the precise vector…

Q: Find a unit vector that is orthogonal to both u and = (-8, -6, 4) v = (17, -18, -1)

A: In this question we will use basic of calculus i.e vector calculus. We will simply find the cross…

Q: Find the vector component of the vector U orthogonal to a: и %3D (4, —1,2) and a %3D (1,3, —2).…

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

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Q: ) Let v = (-5,0, 5). Find a unit vector in the same direction as v.

A: Formula Used:- To find a unit vector in the same direction as v is 1) Find the magnitude of the…

Q: Find a unit vector u in the direction opposite of (-8,-4,-3).

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Q: Find a unit vector in the direction of u and in the direction opposite that of u. u = (-2, 4, 3) (a)…

A: If we divide a vector u by its own magnitude |u| then this gives us a unit vector v=u|u| which have…

Q: Find a vector that is orthogonal to both v = (1, –2,3) and w = (2, 1, –1).

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Q: Find a unit vector u in the direction opposite of (-9,–2, –1). u =

A: Given vector is  -9, -2, -1

Q: Let å = (- 5, 5, – 3) and b = (4, – 1, 0). Find a unit vector which is orthogonal to å and b and has…

A: Given query is to find the unit vector orthogonal to a and b

Q: If the vector v has initial point P, what is its terminal point? v = (0, 0, 3), P(0, 3, -3) (x, y,…

A: Let's find.

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: If the vector v has initial point P, what is its terminal point? v = (-7, 0, 7), P(8, 0, –8) (x, y,…

A: in 3d space, if point P(X1, Y1, Z1) is the initial point and point T(X2, Y2, Z2) is the terminal…

Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) (17, –18, –1) V

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Q: Find a unit vector u in the direction opposite of (-1,-9, –7). | u =

A: First we find the vector of the same magnitude in the opposite direction of the given vector and…

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: Find a unit vector that has the same direction as the given vector. (-8, 8, 4)

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Q: Let vectors u=[1,0,-1] and v=[-2,1,2].Find the vector w that is orthogonal to both u and v

A: The given vector is u=[1,0,-1] and v=[-2,1,2]

Q: Find the magnitude of the vector AB A=(-2,3) and B=(3, - 4)

A: A vector has both magnitude and direction. The direction of a vector is indicated by an arrow.…

Q: Find a unit vector u in the direction opposite of (-8,-4,-9). u =

A: Given vector is -8, -4, -9 We have to find a unit vector u in the direction opposite of the given…

Q: Find a unit vector that is orthogonal to both u and v.      u = ⟨−8, −6, 4⟩,          v = ⟨10, −12,…

A: Consider the following vectors: u=-8,-6,4v=10,-12,-2 A vector orthogonal to both u and v is the…

Q: Find a unit vector that is orthogonal to both u = ⟨2, −10, 8⟩ and v = ⟨4, 6, −8⟩.

A: The given vectors are u = ⟨2, −10, 8⟩ and v = ⟨4, 6, −8⟩. Compute the cross product of u and v as…