29-32 - Perpendicular Vectors? Determine whether or not the given vectors are perpendicular. 29. (4, -2, -4), (1, -2, 2) 30. 4j – k, i+ 2j + 9k 31. (0.3, 1.2, -0.9), (10, -5, 10) 32. (х, — 2к, Зx), (5, 7, 3)

Q: Three vectors are defined by position vectors defined m=(5,4,2), n=(-1,-3,6) and p=(x,-y,-z), where…

A: We have to calculate the following vector.

Q: Find a nonzero vector u with initial point P(2,-3,6) such that (a) u has the same direction as v =…

A: Given: A non zero vector u with initial point P(2,-3,6) To find:  (a) u has the same direction as v…

Q: i,- (0. 금·금·0). 화 ( Also, let W-C(li, ia) and %3D Let the vectors ü = (40, 5, 40, 25) E R*. So, the…

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Q: Find two unit vectors orthogonal to a=⟨−1,4,4⟩a=⟨−1,4,4⟩ and b=⟨2,0,−4⟩b=⟨2,0,−4⟩ Enter your answer…

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Q: Points to choose from: A(1, -6, 8), B(3, 2, 1), C(-4, 10, -7), D(5, 7, -2), E(-1, -8, 7) 1. Choose…

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Q: The points A, B, C, D, E, F, G, and H are the eight corners of a rectangular box. ABCD is its…

A: 1st we need to find all points and then using dot product ( scaler product ) of vector to find…

Q: 3–8 - Cross Products For the given vectors u and v, find the cross product uX v. .3. и %3D (1,0,…

A: 3).  Given u=1,0,-3, v=2,3,0. To find the cross products. Solution: Finding cross products of given…

Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors vi, V2, and v3…

A: Let there exist a, b, c such that0=av1+bv2+cv3

Q: The angle between two planes is the smallest angle 0 between the normal vectors of the planes, where…

A: To find the angle between two planes

Q: Of the vectors u = (2, -1); v = (-1, -2); w = (-4, 2) and o = (4, 2) are orthogonal:   w and o u…

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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: The line through the points the points (xo,Yo, Zo) and (x1,y1, z1) be parametrized by the function T…

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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: If vectors u =(3, 3), v=( 13. -7), and 2w +3u-v=(4,-4) what is the coordinate of vector w?

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

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 as adjacent sides. Use a computer…

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

A: Angle between two vectors formula is, cosθ=a·b|a||b|

Q: where u = (1, 1, 1) and v = (1,2, 3)? For what values of a and b the vector w = (6, 8, 10) is a…

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Q: Express v = ⟨5, −3, 2⟩ as a sum of orthogonal vectors such that one of the vectors has the same…

A: Given that v = ⟨5, −3, 2⟩u = ⟨1, 1, −8⟩

Q: (3.) The distance of two vectors x and y, dist(x, y) =|| x-y ||= /(x – y, x – y). (a) Find dist(x,…

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Q: (2,1, –4,0), v = (-1,-1,2,2), and 19. Find two vectors of norm 1 that are orthogonal to the vectors…

A: We have to find the basis of these vectors, which are independent. A=2-131-12-425024~I4 and they all…

Q: 4. Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Vector u = (-3,…

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Q: Find a unit vector v = (v1, v2, Vz3) that is orthogonal to both vectors ā = (1, 2, 0) and b = (2, 1,…

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Q: 4. Four vectors are defined special unit vectors as ā- sĩ– 23+2k, b=27 –6K, www č--47 +3) and d -(x,…

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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: Use the vectors u = (4, 4), v = (-6, 3), and w = (4, -1) to find the indicated quantity. (u v) - (u…

A: We have to find the indicated quantity. This problem can be solved using the dot product of the…

Q: : (2,1,2). 1- Find the unit vectors u1 and u2 in the directions of v = (1,3) and w = Find unit…

A: If we have a vector u=a,b,c, then the unit vector that is in the direction of vector u is the vector…

Q: 9. Find two vectors that are orthogonal to the plane containing the points P = (4,-2,1) and R…

A: Since there is multiple questions, we will solve the first question. Repost the question again and…

Q: Vector w has initial point (2, −1, 3) and terminal point (−4, 7, 5). Which of the following vectors…

A: we know that vectorV→ which have initial pointx1,y1,z1 and terminal pointx2,y2,z2 is given by…

Q: let the vectors u = (- 2, -9, -8) and v = (- 4, -4, T) the value of T so that u and v are…

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Q: Use the vectors u = (7, 7) and v = (-9, 5) to find the indicated quantity. (u v)v (u v)v = %3D State…

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Q: 3. (a) v°i= (1,-2), v°2= (-5,3), v°3= (22,-9). Are the vectors v'1, v°2, and v'3 linearly…

A: Let's find.

Q: If u = (-9, 10, 8)|and v = (-9,5, –10), then find w| and q| where w is parallel to u, q is…

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Q: Three vectors are defined by position vectors defined ā=(4,–1,–2), & = (-3,5,–1) and č= (x,y,=) ,…

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Q: Determine the scalars K and S that make the vector u a linear combination of the vectors v and w.…

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Q: Express i = (3,7,-4) as a linear combination of i = (1,2,3), ỷ = (2,3,7), z = (3,5,6), also check…

A: see below the answers

Q: 2. If ā = 3i - 27 + ok and b =(4,-1,-6) compute ā xb. 3. Find a vector that is orthogonal to the…

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Q: 1) Given two vectors as A = 2â, + 2â, -â, at point (3,60°,180°) and B =-2â, + 4â, - 4â, at point…

A: Consider the given vectors:

Q: 1. If vectors u =(3, 3), v=( 13. -7), and 2w +3u-v=(4,-4) what is the coordinate of vector w? 2.…

A: For any vector x which is given as a,b, then a and b are the coordinates of the vector x. The…

Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v., v, and v…

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Q: (3,-2,1) can be written as a linear combination of which of the following vectors? 2, 0, 0), (0, 1,…

A: The vector (3,-2,1) can be written as linear combination of the vectors in (a) and (c).

Q: 4. Determine if the vectors are orthogonal, in the same direction, or neither. Briefly explain your…

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Q: 1. If vectors u (3, 3), v-( 13. -7), and 2w +3u-v%3(4,-4) what is the coordinate of vector w?

A: Topic = Vector

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: Find whether the vectors are orthogonal, parallel, or neither. Please show calculation and…

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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), ā = (4,…

A: Lets take two vectors from the given vectors u→=-2, -12, 4 & v→=3, -2, 1

Q: Vector (3,-2,1) can be written as a linear combination of which of the following vectors? a. {(2, 0,…

A: OA = i + 2j  OB = 3i + 2j Find diagonal vectors and its magnitude. Question 1  solved.  Solving more…

Q: Find the angle between the vectors (approximate to the nearest degree): u = [0, 1, 1] and v = [1, 2,…

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Q: Suppose u, v, and proj,u (the projection of u onto v) are all nonzero vectors in R. Which of the…

A: This question can be solved using the concept of projection and triangle law of vector addition.

Q: 5.. If possible, express w as a linear combination of vectors u and v. w = (1,0, –7), u = (1,3,4), v…

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