Show that, û . ûm = 0, Use only the fact that û,is a unit vector. Interpret this result.

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 the unit vector that has the same direction as vector v that begins at (1, 4, 10) and ends at…

A: We will find the unit vector that has the same direction with the given vector v in the following…

Q: Determine the unit vector along the direction OP, where O is the origin and P is point (4, –5, 1).

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

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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: snip1

A: orthogonal to u means the dot product of the vectors should be zeroso v.u=0xy.31=03x+y=0from here we…

Q: The U is a unit vector in the direction of (2, 3). Select one: True O False

A: If magnitude is 1 then given vector is unit vector

Q: What is the i-component of unit vector of the vector u ? Give your answer correct to two decimal…

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Q: Find a unit vector u in the direction of v. Verify that ||u|| v = (-8, -4) u =

A: Find the unit vector

Q: Express the vector in the form (a, b). 1(i + j) ji + jl

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Q: Let b be the vector of length 35 that when drawn in standard position makes a 290° angle with the…

A: Given : length of vector b=35 ⇒b=35 Also, b makes angle 290° with positive x axis. So, b=b1i+b2j,…

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: Find a unit vector u in the direction of v. Verify the ||u||=1. v= (-8,-2) u=

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Q: The vector which has length 2 and direction opposite to u?

A: We have the given vector as u=-122   We have to find a vector that has length 2 and direction…

Q: Find a unit vector that is perpendicular to both ủ = (2,1, 2) and v = (2,– 2,– 1).

A: Given, u→=2,1,2 and v→=2,-2,-1 we are asked the unit vector that is perpendicular to both.

Q: 3 Determine the unit vectors that are nernendicular to A - and R -

A: Perpendicular vectors

Q: The vector having (magnitude) only is called unit vector FO

A: GivenStatement:The vector having only magnitude is called unit vectorTo determineGiven statement is…

Q: 2. If u is a unit vector, find u v and u w. u

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

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Q: Find the unit vector u in the di rection of the vector v=2(2, 1, 2).

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Q: Find a unit vector u in the direction of v. Verify that u|| = 1. v = (-6, -4)

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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 in the direction of

A: Unit vector in the direction <-2, -5> Unit vector have magnitude 1

Q: Find the unit vector of u=.

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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: Find a unit vector u in the direction of v. Verify that |u| = 1. %3D v = (1, -7) U =

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Q: Find a unit vector u in the direction of v. Verify that ||u|| 1. %3D v= (12, -5) V = u =

A: Given: v=12,-5 =12i^-5j^ Unit vector in direction of vector a→ is defined as a→a→, where a→ is the…

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: Find the cross product of the unit vectors j × k and sketch your result.

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find a unit vector which is perpendicular to both đ = (1, 1, 0) and b = (-2, 3, 0) Answer:

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Q: tind a non-zero vector perpendıcular to the vectar u. Find the length of the vector R-

A: Consider two vector u→=ai→+bj→ and v→=ci→+dj→ if the two vector is perpendicular then the angle…

Q: Find a unit vector u in the direction of v. Verify that |u|| = 1. %3D v = (-6, 6) u = Need Help?…

A: To find the unit vector u in the direction of v = (-6,6).

Q: Describe all vectors v that are orthogonal to u

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Q: Find the unit vector in the same direction as

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Q: Find a unit vector, u, in the same direction as vector v = .

A: Recall: Unit vector:  Let u→ be any vector then unit vector is            u∧ = u→u→

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 u in the direction of v. Verify that llull=1 v=(15,0)

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Q: Express the vector H %3D p?za, + зфzaф - рф*а, at B(3, -4, 1), in CCS.

A: The given vector is H→=ρ2z aρ+ 3Φz aΦ - ρΦ2 aZ.We have to express it in the cartesian co-ordinate…

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 that is perpendicular to both ū = (1, 2, –2) and v = (2,1,2). Answer:

A: The vector which is perpendicular to the plane containing vectors u and v can be calculated by the…

Q: Is the vector projection of B onto A, perpendicular to B? Is the angle between projAB and the vector…

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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 in the direction of v. Verify that llull=1 v=(-5,-3)

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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: Find the unit vector in the direction of v and verify that it has length 1. v = ⟨3 /2, 5/ 2⟩

A: Given vector is v=32,52. To find the unit vector in the direction of v and to verify that it has…

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

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

A: