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, — 2х, Зх), (5, 7, 3)

Q: Find the area of the triangle with vertices (1, 7, -9), (-2,-2,-9), and (-3, 1, -8). Then find both…

A: The Given vertices are:-   A1,7,-9, B-2,-2,-9, C-3,1,-8   AB→=-2-2i⏞+-2-7j⏞+-9+9k⏞ AB→=-4i⏞+-9j⏞+0k⏞…

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: Vectors F, 5, E, and u are shown on the coordinate plane below. y 6- -6 Select the correct column…

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Q: Make sure the vector 7 (8, 3, 1) iş a linear combination of v{ = (-5, 2, 1) , vs = (-1,4, 2) and vg…

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Q: If the vectors ü =[-9, a, 15] and V= [b, 2, - 5] are collinear, then: a = 6 and b = -3 Oa = -6 and…

A: by using collinear concept

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

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Q: Let v1 = (-6, -6, -9), i2 = (3, 3, 12), iz =(-1,-1,6). Are the vectors v1, 02 and vz linearly…

A: See the attachment

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: Two vectors beginning at the same vertex of a triangle are ⟨-5,3⟩ and ⟨3,5⟩. Choose the correct…

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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: (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: 1-4 - Operations with Vectors Find u|, u + v, u - v, 2 u, and 3u - 2 v. 1. u = (-2, 3), v= (8, 1) 3.…

A: 1). Given vectors are u=-2,3, v=8, 1. To find: u, u+v, u-v, 2u and 3u-2v. Solution: We have u=-2,3…

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: ving decide if the statement is true or false. Remember a mathematical statement is true only if it…

A: True   The detailed solution is as follows below:

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: u = (- 4, -1,1) and v = (8, -4,3), a unit vector in the direction of the vector w = 3u-v corresponds…

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

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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: Find two different combinations of the three vectors u = (1, 3) and v = (2, 7) and w = (1, 5) that…

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Q: Prove using vectors that the points represent the vertices of a triangle then (1) Find the area of…

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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: D1 = (12, 3, 9) , ô2 = (12, –15, –15), öz = (-8, 16, 18). Are the vectors1.02 and i3 linearly…

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Q: 5. (a) Are the vectors (1,3, 2), (2, 1,3) and (3, 2, 1) linearly independent? (b) Are the vectors…

A: Explained below

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: A sum of scalar multiples of two vectors (such as au + bv, where a and b are scalars) is called a…

A: Given u=2,2 and v=-2,2

Q: compute the dot product of the vectors u and v, and find the angle between the vectors. u= (-…

A: Given :  u = ( - 14 , 0 , 6 )  and  v = ( 1 , 3 , 5 )   Find : dot product of two vectors and angle…

Q: True or false. Suppose u and v are two vectors.  Then ( 2 u + v ) ⋅ ( u × v ) = 0 ,always.

A: TRUE

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: 29-32 - Perpendicular Vectors? Determine whether or not the given vectors are perpendicular. 29. (4,…

A: Solution:-  The given vectors are...

Q: The vertices of a triangle in space are (x1, y1, z1), (x2, y2, z2), and (x3, y3, z3). Explain how to…

A: Given:

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: 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: 8. Translate the triangle with vertices A(3, 4), B(2, - 1), and C(4, 12) along the vector -1, 3).…

A: Translating along the vector simply means add the vector to the given point

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: 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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