The vector u is shown in red. Drag the blue 1 movable point to construct the vector U. -

Q: Give a vector description of the midpoint M of a line segment AB.

A: According to the vector midpoint formula: Where 'c' is the midpoint position vector of vector 'a'…

Q: Let å and b are vectors such that the angle between them (when joined tail to tail) is 0°. Describe…

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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: The vector u is shown in red. Drag the blue movable point to construct the vector -u.

A: Here we have a vector u as shown in the figure,  We have to drag a blue movable point to construct…

Q: Find a vector v such that v = 15 and v is in the same direction as –li + 13j

A: The solution is given as

Q: Determine by inspection, which one of the following statements is true regarding the vector u? U =…

A: Let X = (0,0,0,....,0) be an n-vector whose components are all zero. Then the relation  kX=0 is true…

Q: 21. With A as in Exercise 17, find a nonzero vector in Nul A and a nonzero vector in Col A.

A: Given matrix is A=6-4-32-969-6 The column space of A is the space generated by the column vectors of…

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

A: Components of a vector  :ax=|a|cosθay=|a|sinθNow Vectora→=ax,ay

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

A: Given problem:- Find the parallel projection of the vector v=<4, -5, 7> onto the vector…

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

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Q: Let a point a = (2, 4, 5). %3D (e) Find a unit vector (just one) that is orthogonal to a.

A: Given : Point a = ( 2 , 4 , 5 ) Unit Vector =?

Q: Write a formula for a two-dimensional vector fie

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Q: Find the unit vector in the direction of u.

A: u = <5, 3, 1> |u| = 52+32+12 = 35 Therefore the unit vector in the direction u is u|u|=…

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

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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: - }- 2. u = w = |7 3. u = W = 2 3

A: 2) Consider the given vectors u=101,  v=010,  w=272 The vector w is in the span of the given set of…

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

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

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Q: Use Exercise 47 to show that if cos α, cos β, and cos γ are the direction cosines of a vector v,…

A: cos2α,cos2β and cos2γ are the direction cosines of the vector v

Q: Find the unit vector in the directions of v, where Ans = %3D

A: To find unit vector in the direction of v, divide it by the length of v.

Q: Let a be the vector of length 114 that when drawn in standard position makes a 165° angle with the…

A: Given:- Length of the vector, v= 114, angle is 1650Vector in component form:-(a1, a2)a1=v cos θa2=v…

Q: and the unit vector along the direction of u.

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Q: Find the unit vector of u=.

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

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Q: Prove that the vectors u = (cos θ, −sin θ) and v = (sin θ, cos θ) are orthogonal unit vectors for…

A: Given Data The first vector is u=(cos θ, -sin θ). The second vector is v=(sin θ, cos θ).   The…

Q: If vector A is any non-zero vector, a unit vector in the same direction of A would be?

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

A: Givena→=⟨4,−3,−4⟩

Q: Let v be the vector The vector of length 3 in the opposite direction as v is 2 Select one: a. -2 O…

A: Vector v  = (1,2,-2) opposite direction to  given vector can be find as -v (-1,-2,2)

Q: The vector V = is an example of a unit vector.

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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: Let v be the vector . The vector of length 5 in the opposite direction as v is Select one: a. 5 -5…

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Q: How long is the vector v = (1, 1, ..., 1) in 9 dimensions? Find a unit vector u in the same…

A: Given: The vector v= (1, 1, 1, 1, 1, 1, 1, 1, 1).

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

A: Given a vector v=<-2,2>. We need to find a unit vector in the direction of 'v'. Let's begin.

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 the length of the vector T

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

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Q: For any vectorV and unit vector U parallel to V , then D-

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Q: If u is a unit vector that is parallel to a nonzero vector v, then u - v = +||v||. %3D Select one: O…

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Q: What is a unit vector in the direction of u

A: Given,u= 40-3-12First calculate magnitude of u;So,  u=42+02+-32+-122                 =16+9+144…

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

A: solution is given below..

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

A: For any vector a→, the unit vector in the direction of  a→ is a→a.

Q: Using the vectors from the previous problem, find the projection ul of v onto the vector u and find…

A: We say that 2 vectors are orthogonal if they are perpendicular to each other. i.e. the dot product…

Q: Find a unit vector u in the direction of v = 〈6, -1〉. Verify that ⎥⎥ U⎥⎥ = 1

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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 nonzero column vector u such that Cu = 4u.

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

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Q: Give a vector description of the midpoint M of a line segment AB→.

A: GivenLine segment AB→To find vector description of midpoint of AB

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

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