ind a unit vector orthogonal to bothu and v. u = (-8, 7, -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 the unit vector having the same direction as v. v = 3i - 4j 3 4 4 3 3i-3i Ou=15i- 20j

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Q: Find the angle 0 between the vectors. u = (1, 1, 1), v = (7, -6, 5), (u, v) = u1Vı + 2u2v2 + U3v3…

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Q: Express the given vector in terms of the unit vectors i, j, and k. (2, -5, 0)

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Q: Determine the two unit vectors that are orthogonal to A= . Which two unit vectors are parallel to A?

A: Given that, A = <1, 2> Suppose that <a, b> is orthogonal to the vector A = <1, 2>…

Q: Find the magnitude of the vector AB A=(-1,-1) and B=(2, - 5)

A: The coordinates of the vector AB are found by subtracting the coordinates of the initial point, A…

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

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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: Find a unit vector u in the direction of v. Verify that ||u|| v = (1, -9) U =

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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: Find the unit vector in the same direction as the vector u = [2, –1, –9]. Ex: 1.234 C Ex: 1.234 Ex:…

A: We will find the modulus (norm) of the vector and divide the vector by the norm to find the unit…

Q: Determine a unit vector perpendicular to the both vectors A : 2i + 5j – 4k and B - 3i + 6k. |0| = (…

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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: 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: Find a unit vector (a) in the direction of v and (b) in the direction opposite of  v = ⟨2, −1, 2⟩

A: a) Given that v=2, -1, 2 So unit vector in the direction of v is  vv=2, -1, 2(2)2+(-1)2+(2)2=2, -1,…

Q: The unit vector in the direction of u = (2, 3) is A. (-,1) В. (3, —2) 2 3 V5' V5 3 D. (- V13 2 V13 O…

A: We a given a vector u=(2,3) We are asked to find out unit vector in direction of  vector u=(2,3)

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

A: Given vector, u=3, 4, 5

Q: Find u + v, u − v, and 2u − 3v. Then sketch the resultant vector. u = 4,3    , v = -3, 0

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

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Q: Let v = (-4, 3, 2). Find a unit vector in the same direction as v.

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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 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: 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: Determine the value(s) of ? such that the vectors [5, ?, −8 ] and [3, ?, ?] are perpendicular.

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

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Q: Find the unit vector u in the direction of the vector v=4( 0, 4, 3 ). OAU 1 15 OBU Ocu 10 ODU V 25…

A: Given: Vector v=40, 4, 3 To Find: The unit vector u in the direction of the vector v

Q: Find the magnitude of the vector AB A=(2, 7) and B=(5, 9)

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

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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 unit vector having the same direction as v = (1, - 3). %3D 1 3. V 10 V10 10 V10, 3. O (1,…

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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 u in the direction of v. Verify that u|| = 1. v = (-6, -4)

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

A: Given vector is  -9, -2, -1

Q: 10. Find the unit vector in the direction of u=2i+3j-k

A: Magnitude of u = sqrt (u1^2 + u2^2 + u3^2)   Unit vector direction of d => u/ (Magnitude of u)…

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: 13. Find the unit vector having the same direction as v. v = 6i-8j

A: We have to find the unit vector.

Q: Find the angle between the vectors v and w v = (−2, 3, 1)T , w = (1, 2, 4)T

A: Consider the given vectors: Here the objective is to find the angle between vector v and w.

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 the two unit vectors orthogonal to both a = 3j + 2k and b = -i- 2k. O A -61 - 2j + 3k and 6i+…

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Q: Find the vector v with the given length and the same direction as u. ||v|| = 3, u = (1, 1) V =

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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 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: Find the unit vector u in the direction of the vector v= (1, 2, -2)- 1 u = U = OB. V V Ocu 15 V. 12…

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Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) (10, -12, -2) %3D V =

A: Find the unit vector that is orthogonal to both u and v

Q: Find ||v|| and find a unit vector in the direction of v.v = (−1, −4, 1)

A: To find: The value of v and unit vector in the direction of v=-1,-4,1. Formula used: A unit vector…