Find a unit vector that is orthogonal to both u = (- 1, 4, – 5) and v = (0,4,–7). %3D

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 the component form of the vector v, (a) write the vector using standard unit vector notation,…

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

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Q: Find the coordinate vector of w relative to the basis S = { u1, u2}for R². u 1 = (20, – 20), u 2 =…

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Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) v = (12, -16, -2)

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Q: Let DE be the vector with initial point D(8, 6) and terminal point E(-1, 5). Write DE as a linear…

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

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Q: Find a unit vector u in the direction of the vector from P1(1, 0, 1) to P2(3, 2, 0).

A: Concept: Unit vector is a quantity which has a magnitude as 1and as well as direction, it is also…

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

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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 the coordinate vector of w relative to the basis S = {uj, u2 } for R2. uj = (12, – 12), u2 =…

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Q: Find the component form of the vector v and (b) sketch the vector with its initial point at the…

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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 the vector z, given that u = , v = , and w = . z = 8u - 3V - -W 2 1. Z =

A: We have been given the vectors  u = <1, 2, 3> v = <2, 2, -1> w = <4, 0, -4>

Q: Find a vector and unit vector perpendicular to each of the vector A + B and A – B,

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Q: Find the magnitude of the vector V= (-1,3). 10 10 8 22

A: Given V¯=-1,3 To find magnitude of vector

Q: Find the magnitude of the given vector. (-1, 2, 2)

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

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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 a non-zero vector x perpendicular to the vectors  v= [-3]    And u = [-1]      [11]…

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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: 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 coordinate vector of w relative to the basis S = {u1, u2} for R2. : (6, – 6), u2 = (2, 2);…

A: Here we have to find the coordinate vector of w relative to the basis S ={u1,u2} for R2 . Here…

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

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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 the coordinate vector of w relative to the basis S= = (u1, u2) for R. Let u = (2, –3), u2 = (3,…

A: Given

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: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. 3u…

A: u=-3, 4 & v=2, -5 a). 3u-4v=3-3, 4-42, -5=-9, 12-8, -20=-9-8, 12--20=-17, 32

Q: What is the y component of vector a? Only provide an integer answer such as 0, 5, 10, etc. 10 10…

A: Start from the origin and count the number of blocks required in the direction of x and y axes to…

Q: Find the length of the vector.v = (0, 1)

A: If Vector V = (V1,V2, V3) then the length of Vector ||V|| = (V1)2+(V2)2+(V3)2

Q: Find the coordinate vector of w relative to the basis S = { u1, u2} for R u 1 = (4, – 4), u 2 = (4,…

A: Given: u1=4,-4u2=4,4w=0,24

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: Find a unit vector orthogonal to the vector A= 2i-j+k and parallel to the vectors B= 2i+2j and C=…

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Q: (-2,0,423) (0,0.423) R (0,0)

A: For the given figure the resultant Vector R is calculated as shown below for the given points  (x1,…

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 e, where v = (4,2, 5) ey = %3D

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Q: Find a unit Vector orthogonal to both vectors: U =21 +5j-K and V=i+3j-2K.

A: We can find the unit vector as below

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

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Q: Find the length of the vector T

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

A: Please go through the attached solution. I hope that it  will help you .Thankyou . Best regards.

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

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

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Q: Find the coordinate vector of w relative to the basis S = { u1, u2} for R². u 1 = (5, – 5), u 2 =…

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