Use the vectors vec{u}=(1,-2,5)  and vec{v}=(0,-1,3) to Find, vec{v} - (2vec{u})  and the unit vector in the direction of vec{u}

Q: Find two unit vectors orthogonal to a = (3, 3,0) and b = (-3, 0, –4) Enter your answer so that the…

A: We have to find two unit vectors orthogonal  to given a and b vectors.

Q: Find the dot product of the pair of vectors (-2, 5) and (4, 1).

A: Given : < -2 , 5 > and < 4 , 1 >

Q: Find the vectors u and v whose initial point is u: (3, 2),v: (1, 4) and terminal points is (5, 6) ,…

A: Initial point is (3,2) and the ending point is (5,6) so the vector is u=(5,6)-(3,2)=(2,4)   Initial…

Q: Use the vectors u = (1,-3,5) and v=(2,1,-3) to Find 1 the area of the parallelogram determined by u…

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Q: What is a unit vector perpendicular to these two vectors, which are two vectors

A: We have to solve given problem:

Q: Find the area of parallelogram with the vectors u = = (2, –2,0) and v = (0,–2,0) for sides.

A: The area of  parallelogram with vectors u=(2,-2,0)  and  v=(0,-2,0)  for sides is the cross product…

Q: Find two unit vectors orthogonal to a = (-2,-1, 3) and b = (5,-2, 1) Enter your answer so that the…

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Q: For the vectors u= (-3,0,4) and v= (1,3, - 3), calculate projyu and scal, u. proj, u = OOD

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Q: Find two unit vectors parallel to (2, 3).

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Q: Find two vectors v1 and v2 whose sum is ⟨−5,0⟩, where v1 is parallel to ⟨5,1⟩ while v2 is…

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Q: What position vector is equal to the vector from (3, 5, -2) to (0, -6, 3)?

A: We have given two vectors;  (3, 5, -2) , (0, -6, 3)

Q: Find two vectors v1 and v2 whose sum is (2, –5), where vj is parallel to (5, 2) while v2 is…

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Q: Find the angle between vectors a= (-/2, 0, v2) and b = (-1,1,0). %3D

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Q: Find the angle θ between the vectors u = and v= .

A: Given,            u = <-3/2, 0, √3/2> and             v= <-3,2,√3>.

Q: 1. Find the resultant of the vectors A and B. A = 8a, + 7a, + 2a, В - - За, — 8а, - ба, Draw the…

A: Given that: A→=8ax+7ay+2azB→=-3ax-8ay-6az

Q: prove using vectors that the points (0),2 -2- (B2,0, -2, C, (2,2-,10) represent the vertices of a…

A: We have to check weather the given points are Vertices of Traingle or not.  After that we have to…

Q: Find vector, parame tric. and symmetric equations of the line containing the point P and paralel to…

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Q: For the vectors u = (-1,4) and v = (-2,2), calculate proj, u and scal,u. projyu =

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Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A: Find the solution below

Q: Order by the magnitude of the angle between the vectors with the pair with the smallest angle…

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Q: Find the area of the parallelogram that has the given vectors u = j,   v = j + k as adjacent sides.…

A: Known facts: The area of the parallelogram that has the given vectors u  and v as adjacent sides is…

Q: Find a unit vector in the direction of u and in the direction opposite that of u. u-(-7, 24) (a) in…

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Q: Order by the magnitude of the angle between the vectors with the pair with the smallest angle…

A: Given: 1, 2, 3 and 1, 0, 0. 1, 2, 0 and 2, 3, -4. 1, 2, -3 and 2, -3, 4 To be find: magnitude of…

Q: Find the vectors u and v whose initial and terminal points are given. Initial Point Terminal Point…

A: Find the vectors u and v whose initial and terminal points are given.        Initial Point  Terminal…

Q: Find two unit vectors orthogonal to a = (1, 1, 1) and b = (-4,0, 1) %3D Enter your answer so that…

A: Given,           a=<1,1,1> and b=<-4,0,1>

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A: Solve

Q: Find two unit vectors orthogonal to a = (-5, 2,2) and b = (5, 4, -2) Enter your answer so that the…

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Q: The cross product of vectors a = (-1, 4, 6) and b = (3, 0, -2) is %3D

A: The cross product of vectors is given below

Q: The vector with terminal point at P(-5,0,3) and initial point at Q(6, 2, –8) is equal to the…

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Q: What is the angle in radians between the vectors a = (6, 8, -2) and b = (-7, 7, 0)? Angle: (radians)

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Q: Find two unit vectors that are normal to the plane determined by the points A (0, -1, 3),B (2,…

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Q: Express à = (3, 1, – 1) as B + Č, where B is parallel to the vector (1, 4, 2) and Č is perpendicular…

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Q: Find a vector with initial point (4, -4,0) and terminal point (7, -14, - 10). Then find a unit…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the angle θ between the vectors.u = (0, 1, 0, 1), v = (3, 3, 3, 3)

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Q: Vectors to choose from: u = (-2, -12, 4), v = (3, -2, 1), w = (8, 12, -4), p = (-3, 9, -3), à = (4,…

A: The given vectors are: u→=-2,-12,4, v→=3,-2,1, w→=8,12,-4, p→=-3,9,-3, q→=4,5,-2 Find the two…

Q: Cross-product of vectors   ⟨2,−1,3⟩×2⟨4,2,1⟩=?

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Q: B: Find area of triangle whose vectors P1(4,2,0), P2(-1,1,1), P3(0,4,3) (

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Q: Find 2 unit vectors orthogonal to both and .

A: Given: u=<1,2,-1> v=<1,-2,-1>

Q: Find the vector in R' from point A = (-2, –3, 8) to B = (9, –4,–3). AB = help (vectors)

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Q: Find two vectors v1 and vz whose sum is (-4, –4, 5), where vj is parallel to (1, 1, –2) while v2 is…

A: we have to find the two vectors v1→ and v2→ whose sum is -4,-4,5 where v1→ is parallel to 1,1,-2…

Q: What position vector is equal to the vector from (- 2,9,3) to (-5, - 6,8)? The position vector is…

A: We have to find

Q: Find the vectors u and v whose initial and terminal points are given. Initial Point Terminal Point…

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Q: Find two vectors V1 and V2 whose sum is ⟨2,−5,3⟩, where V1 is parallel to ⟨4,4,0⟩ while V2 is…

A: Parallel vector will be multiple of each other  Perpendicular vector has dot products zero

Q: What are i and j, and what do they represent? They are --Select--- v vectors, or vectors with…

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Q: Find two vectors vj and 2 whose sum is (-2, -5), where is parallel to (-3, 4) while vz is…

A: Solution: The objective is to find the vectors

Q: By finding the dot product for each pair of vectors determine if they are perpendicular: (1,2) and…

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Q: Find unit vector parallel to u = (2, -3, 2)

A: A unit vector a^ parallel to the vector a⇀ is given by, a^=a⇀a⇀ Where a⇀ is the magnitude of the…

Q: Find two unit vectors orthogonal to a = (4, –5, -2) and b = (-3,0, 4) Enter your answer so that the…

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