2 3 Let u and v %3D . Find the length of 2u and the length of -v. - Find the distance between u and v. . Are u and v orthogonal to each other? Show work, and explain why or why not. - Normalize the vector u + v.

Q: Q3): If A = 2i-j+ k, B = i + 2j - k and C = i + j - 2k, find unit vector orthogonal to A in plane of…

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

A: Topic- Vector

Q: Find the unit vector in the same direction as the vector u = [8, –7].

A: When you divide a vector by its magnitude you get an unit vector along its direction.

Q: 3. Determine the vector equation for the line with symmetric equations*=3+22=1

A: Given: Symmetric equation of line: x-34=y+25=z-13 To find: Vector equation of line.

Q: ii) Find the dot product of the vector a in part (i) with the displacement vector AB such that…

A: Given that  Following vectors  To find the dot product

Q: 7 Jlguu The cross product of two unit vectors is a unit vector ylgn

A: The cross product of two unit vectors is a unit vector

Q: Q / Determine the value of b so that vectors 4 = 49-593 V=-2₂0₂-5 w=bs 1, 6 lg are in the Same Plane

A: We have given that the vectors ,  u = 4 , -5 , 3  ,  v = -2 , 0 , -5  ,  w = b , -1 , 6 We know that…

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B. N

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Q: Q1. Given three vectors A = -a,+2a,+3a, B = 3a,+4a,+5a, and C = 2a, -2a,+7a,, compute : a) Angle…

A: Given the vector A=-ax+2ay+3azB=3ax+4ay+5azC=2ax-2ay+7az

Q: Q4) The vector product of two vectors is scalar product. F O T

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Q: (a) Find a nonzero vector orthogonal to the plane through the points P(0,- 2, 0), Q(4, 1, – 2), and…

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Q: I. For the given vectors i and v , find the value of u · v and normalize = (3,–1,9, –10) 2. й 3D…

A: 1. Given u→ = (2, 7, -1, 20)v→ = (3, -1, 9, -10)Sou→.v→ = (2, 7, -1, 20)·(3, -1, 9, -10)        = 6…

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 the angle between the pair of vectors below. u = (2,3) and v = (-2,5)

A: Given query is to find the angle bothe vectors.

Q: Suppose that u and v are orthogonal vectors in R’ of lengths 1 and 2, respectively, and suppose that…

A: Answer

Q: Construct the vectors a = 3k - 2j and b = 3i - 2j and c = ax b. Compute the absolute value of the…

A: Given data : a⇀=3k-2jb⇀=3i-2j To calculate c=a×b The value a×b=ijk0-233-20

Q: Find the magnitude of the vector v whose initial point is P(5, – 2) and terminal point is Q(0, – 4).…

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Q: products

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Q: Q/ find all unit vectors parallel to the yz plane and perpendicular to the vector V= 5i - j + 2k ?

A: Given,   A vector V= 5i - j + 2k.

Q: 5. V = 3 V2 = 7 4 -5 -2 Which weights should be used for b = a¡V1 + azV2 to obtain the vector b = 10…

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Q: B- If you have a vector perpendicular to the plane of P(1,-1,0) , Q(2,1,-1) nd R(-1,1,2) find: 1. PQ…

A: Given P(1,-1,0), Q(2,1,1) and R(-1,1,2)

Q: 2 Let u = = 1 (i) Find the angle between u and v. (ii) Find a vector w of length 2 in the direction…

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Q: Q8) The vector of length 6 units and normal to the plane: 2x + y - 2z = 6 is

A: We need to find a vector that is normal to the given plane having a length of 6 units. Now, We know…

Q: What is the subtraction of Vector M from Vector T? M = 5 units T=4 units-

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Q: (2) For the vectors ä = (-1,3, 4) and 5= (-2,2, 0) calculate the following: (a) ãoË (b) ä x b (c) A…

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Q: Q3/ Let å = (2,1, -4) and b = (3,-2,5) be two vectors. Find a vector that perpendicular to both å…

A: Q3/ The given vectors are a⇀=2,1,-4 and b⇀=3,-2,5

Q: A=4+J1 and B=2+j3 respectively determine the sum and the difference of the vectors in both…

A: Concept: Complex numbers: Complex numbers are two-dimensional complex or s-plane points that are…

Q: 3- If A is any vector with A+ Rj • a then what is the y-axis component of the vector? c) C units a)…

A: Given,  Vector  A = Ai+Bj+Ck  We have to find the y-axis component of vector..

Q: Q/ B/ If vector A = 3i – 2j + 7k and B = -i+j- 3k , find the area of triangular between vector A and…

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Q: We have three vectors u, v and w in R: 1 = U = (7a) Are these vectors ü, v and w linearly…

A: We have vectors u→, v→ and  w→ in ℝ4 :                                         u→=102-1, v→=-1021,…

Q: a. For what vaiue(s) of a are the vectors r= (3, a, 9) and y (a, 12, 18) collinear? b. For what…

A: Collinear and perpendicular vectors

Q: (a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R. and (b) find the…

A: The given points are P(1,0,1), Q(-2,1,3), R(4,2,5)  a) Obtain the non zero vector orthogonal to the…

Q: et u = (4, 2), v = (1, 3), and w = (0,-2). Find the vector T that satisfies 10u - 0+ = 47 + w. In…

A: We have to find x

Q: Q1A) The vectors A = 3i + j + 4k, B = 2i - 3j - k, find vector normal to A and In plane of A and, B.

A: Solution is given below:

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: Q.2B) Evaluation of JA- 2B| through define length of the vector |A| equal to O and length of vector…

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Q: Q/ Find the Unit Vector perpendicular to the Plane 2X+22-4Y=3

A: An equation of a plane 2X + 2Z - 4Y = 3 To Find: Unit vector perpendicular to the  given plane…

Q: Find the unit vector u in the direction of the vector v=4(2, 1, 2).

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Q: 3. Find the unit vector that has the same direction as the vector perpendic- (4, -1, 3) and b=…

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Q: REE - Sept. 2014/ Sept. 2015 / Apr. 2018 2. What is the unit vector orthogonal both to 9i + 9j and…

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Q: Find the magnitude of the vector v whose initial point is P(1, – 4) and terminal point is Q( – 2, –…

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Q: Q:: Determine whether the vector w= is a linear combination of the vector u= and the vector v = ?

A: w is not a linear combination of vector u and the vector v.

Q: Find self-value and self-vectors.

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Q: Q.2B) Evaluation of |A – 2B| through define length of the vector JA| equal to and length of vector…

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Q: Find a unit vector that is perpendicular to both u = (1,0, 3) and v = (-1,2,0). Answer:

A: We have to find the unit vector which is perpendicular to given vectors.

Q: [2] |W1 = |2 W2 = |2 [3] The angle of the vector u perpendicular to the plane formed by the vectors…

A: Note that the cross product, or, vector product of two vectors is perpendicular to both the vectors.…

Q: Q1. A- Find the cross product (uxv) of vector (u = i – 2j + 5k) and vector ( v=). Are the two…

A: Topic = Vector If the cross product of two vectors is zero it means both are parallel to each other.

Q: (a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R. and (b) find the…

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