Find a unit vector orthogonal to both u and v. u = 31 - 2j + 5k V = + 10 2

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: Find a unit vector (a) in the direction of v and (b) in the direction opposite of v. v = 4i − 5j +…

A: Now magnitude of v is,

Q: 27. Find a unit vector that is orthogonal to both i +j and i+ k.

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Q: Find the angle e between the vectors i + 2j - 3k and -i + 2j + k.

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Q: Find a vector v such that ||v|| = 20 and v is in the same direction as 15i + 15j

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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: If a = i+ 2j +k and b = i+10j + k, find a unit vector with positive first coordinate orthogonal to…

A: The vectors are given as , a→=i^+2j^+k^ and b→=i^+10j^+k^ find a unit vector with positive first…

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

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Q: If a = i+ 4j + k and b =i+ 8j +k, find a unit vector with positive first coordinate orthogonal to…

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

A: Given the vectors u→=3i→+5j→+2k→, v→=12i→-34j→+110k→. To find: A unit vector orthogonal to both u→…

Q: Find a unit vector orthogonal to both u and v.u = i + 2jv = i − 3k

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Q: 3. Find a unit vector in the direction of v. V = 20i – 21j

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Q: Find ||v|| and find a unit vector in the direction of v.v = (−1, 1, 2)

A: Now magnitude of v is ,

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 u in the direction of the vector v=2( 3, 0, 4 ). 1 u = V O A. 15 1 OB. 25 1 U =…

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Q: Find the given vector. The unit vector in the direction of u =〈1, 0, 7〉

A: A unit vector gets its name from the fact that the magnitude of the unit vector is unity or 1. It is…

Q: Find a vector orthogonal to both given vectors u and v . u=2i-3j +k  v= -3i +4 j +4k

A: Given, u=2i-3j +k  v= -3i +4 j +4k    We have to find the orthogonal vector to both given vectors u…

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

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Q: Find a unit vector orthogonal to both u and v.u = i − 2j + 2kv = 2i − j − 2k

A: Given  u = i - 2j +2k = < 1, -2, 2 >v = 2i - j - 2k = < 2, -1, -2 >

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

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

A: We have to find the vector

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

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Q: 5) Find a unit vector that has opposite direction of the vector i - 2j + 4k.

A: First change direction of vector then find magnitude and write unit vector

Q: Find the component form of the vector v given ||v|| = 12 following the direction of u (3, –5)

A: Find the component form of the vector v given ||v|| =12 following the direction of u = (3,-5)

Q: If a = i+ 2j + k and b = i+ 5j +k, find a unit vector with positive first coordinate orthogonal to…

A: Given that     a = i+2j+k and b = i+5j+k We have to find a unit vector with positive first…

Q: Find a unit vector orthogonal to A in the plane of B and C if A = 2i - j + k, B = i + 2j + k, and C…

A: The given details are as follows.

Q: Find the unit vector in the direction of the given vector. 11. u = (-2,4) 12. v =(1, –1) 13. w = -i…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: Find a unit vector e, wherev (3, 6, 1). ey= 1. Submit answer

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Q: = ( The U 3 is a unit vector in V13' V13 .(2, 3) the direction of

A: We know a unit vector in the direction of vector U→ is given by : U→=U^U^

Q: Find a unit vector orthogonal to both u and v. u = i + 2j v = i+ 3k

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

A: It is given that, v→=(3,5)   It is known that a vector R→=ai^+bj^ can be written as, R→=(a,b). As we…

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: Find the component form of the vector v given ||v|| 12 following the direction of u (3, –5) %3D

A: The vector v in direction of u can be found  blew step.

Q: If a = i+ 8j + k and b = i+ 13j + k, find a unit vector with positive first coordinate orthogonal to…

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

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Q: Find a unit vector orthogonal to both u and v.u = 7i − 14j + 5kv = 14i + 28j − 15k

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Q: Find a unit vector e, where v = (4,2, 5) ey = %3D

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Q: Find the unit vector that has the same direction as the vector v. 5) v = 5i + 12j A) u = 65i + 156j…

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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 orthogonal to both u and v. u = i + 2j + 2k v = 2i +j – 2k

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Q: Find the given vector. Unit vector ey where v = (9, 40) ev

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Q: Find the value of the magnitude of the vector v. (a) v = -3i+ 10j (b) v=4i-6j (c) - 2i-3j.

A: if a vector v=ai+bj then its magnitude v=a2+b2

Q: Express the given vector in terms of the unit vectors i, j, and k. (14, 0, 4)

A: Given,  Vector < 14, 0, 4>

Q: Find a unit vector that is orthogonal to both u and v.       u = −3i + 2j − 5k,    v = i − j + 4k

A: u=-3i+2j-5k,  v=i-j+4k Now the vector orthogonal to both u and v is, w=u×v=…

Q: Find a unit vector e, where v = (4,9, 4). ev

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Q: Find a unit vector orthogonal to both u and v. u = 3i - 5j + 2k V = + -k 10 20i + 14j + 5k V 621…

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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…

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

A: Solution ) v =  { 2 , 8 , -3 }   vector with same magnitude and opposite direction   = { -2 , -8 , 3…

Q: 37. v = (60, 11}

A: Unit vector n→ in the direction of a vector v→ is given by, n→=v→v→, where v→ is the length of the…

Q: Determine a unit vector perpendicular to the both vectors A - 5i + 6j – 8k and B : - 2i + 5k. |0| =…

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