Question 2 Two vectors are defined as A= ax + 2ay + 3az and B = 3ax + 2ay t az Which of the following vector is perpendicular to A+ B None of choices ах + az 4ay + 4az -4ax + 4ay O O O 0

Q: Problem 2 For vectors A = (-1,–2,3) and B = (-1,3, –4), show that the relation ||A+ B||² – ||A –…

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Q: If a and b denote the vectors OA and OB, indicate on the same diagram the vectors OC and OD denoted…

A: As first question and second question are independent so I am solving only first question.If you…

Q: If two vectors a+b and a-b are orthogonal, then we have la| = |b|. Select one: O True O False

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Q: 4) Given a = 2i + 3j + k , b = 3i – Sj + 9k and c the vector joining P1 (3, 4, 5) to Pz (1, -2, 3) ,…

A: The vector C is:  c→=1,-2,3-3,4,5    =-2,-6,-2

Q: 19. The Cartesian equations of a line which passes through the point (2, -1, -3) and is parallel to…

A: 19) Cartesian equation of line passing through (a, b, c) having direction parallel to li^+mj^+nk^ is…

Q: 10. Let v = [1, 1] and w = [2, 1] be two vectors: find the project of v into w d bu [1 11. 11. 1, 2,…

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Q: Problem 9. Suppose that u аnd v 3 3 Determine which of the vectors below are in Lin{u, v}, and for…

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Q: QUESTION 3 The unit vector that has same direction as the vector from the point A(-2, 5) to the…

A: Topic:- vectors

Q: 1. Shown in Figure 3.2.11 are two vectors vị and v2 in the plane R?. Vì 2 V2 -4 2 2.

A: Step:-1 Given graph is Using above graph, we have v=x, yv1=-2, 2v2=2, 1 Part (A):-  B=v1, v2…

Q: Question 17 Let v 1V,VV, be vectors in RS. If v is orthogonal 3 4 4 to v, and v, and (v, )= -7, then…

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Q: QUESTION 2 The vectors u = (9, 11, 10), v = (14, -11, -4), and w = (0, 0, 0) are coplanar. O True O…

A: Three vectors {u,v,w} are said to be coplanar if their scalar triple product is zero.  that is…

Q: Question 2 · „] Let a be the vector (2, -3, –1) and b be the vector (6, -2, 3). Find the projection…

A: Topic = Vector

Q: 1. Three vectors are given by: å = 2î – 3ĵ + 5k, b = -2î + 7j – k and č = lî + 2j – 4k. axb Find a,…

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Q: 2 Describe each of the translations shown using column vectors. a d e 3 Using the vectors in…

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Q: QUESTION 5 P3(R), p(t)=1-2t?-t³, q(t)=t +2t3, r(t)=1+t- 2t? are linearly independent. The 3 vectors…

A: We have to solve given problem:

Q: Question 1. (25). For the vectors u = 2i + j + 2k and i = i – 2j – 2k. a. Find u· ū, i ·ở and ū · Ữ.…

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Q: Question 5 If u and v are nonzero vectors and u x v= 0, then u and v are orthogonal. O True O False

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Q: Question 7: Let p, q, r be three mutually perpendicular vectors of the same magnitude. If a vector x…

A: Let p, q, r be three mutually perpendicular vectors of the same magnitude. If a vector x satisfies…

Q: 21A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, and C = i-2j+ k, find (A x B).C

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Q: 1 The vectors a and b are defined by a = ( 2 ) and b = (-3 a Find i a-b b State with a reason…

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

Q: ±). 1.4 Use vectors to decide whether the triangle with vertices P(1,–3,–2), Q(2,0, –4) and R(6, –2,…

A: solution of the given problem is below ...

Q: QUESTION 2 Given p= (-2,1,a), q=(1,1,2) and i = (3,a,4) . a) Find px(q+r) in terms of a. b) Use your…

A: Cross product and equation of line in 3D

Q: -4] Question 2: For what value of "a" the vector v = 3 is linear a -3° combination of the vectors vị…

A: A transformation is called linearly independent when the nullity of the transformation is 0.…

Q: Question 9 Given the vectors a=i-j+2k and b=i+2j+k, determine the following: (a) a+b (b) a+b (c) a b…

A: Given are the vectors  a=i-j+2k and b=i+2j+k. We need to find the given parts.

Q: Problem 4 A rocket is equipped with a propulsion system consisting of three thrusters. Each of the…

A: Consider the vectors v1→, v2→, … , vn→. Then this set of vectors are linearly dependent if the…

Q: QUESTION 1 Let A(1,0, – 1) B(1, – 1,2) and P(k,k,k). The vector from A to Bis perpendicular to the…

A: We will solve the following.

Q: Question 1. Is] Let a be the vector (2, -6, -1) and b be the vector (6,-2, 3). Find the component of…

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Q: Problem 1. Show that, if v1, U2, U3 are perpendicular in R", then |||v₁ + V2 + v3||² = ||v1||² +…

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Q: 4) Given a = 2i + 3j + k , b = 3i – 5j + 9k and c the vector joining p1 (3, 4, 5) to P2 (1, -2, 3) ,…

A: Given,  a→=2i^+3j^+k^ Also given c→ is the joining vector of p13,4,5 and p21,-2,3 Then,…

Q: QUESTION 1 The z-coordinate of the terminal point of the vector v=-3i-14k whose initial point is…

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Q: Question 8 Express the vector u' below as a sum of two vectors lj and u,, where uj is parallel to…

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Q: Chapter 03, Problem 074 7 Your answer is partially correct. Try again. Vector a lies in the yz plane…

A: To find (A)vector a.vector b (B)x ,y and z components of vector a × vector b (C)angle between vector…

Q: Chapter 11, Section 11.3, Question 025a Find the vector component of v = 2i – j+ 3k along b = 4i +…

A: given vector v=2i-j+3k  and b =4i+8j+8k

Q: QUESTION 13 Given vectors u = (-29, -16) and v = (-37, -18), find vector u - v. Provide your answer…

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Q: QUESTION 3 If u v=0 for vectors u,v in R", u=0 or v=0. then O True O False

A: Solution:GivenIf u.v=0u,v∈Rnthen u=0 or v=0State true or false.

Q: Consider the following vectors. 1 4 v = 5 Give the corresponding linear combination. (If an answer…

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Q: Two vectors are defined as A = ax + 2ay + 3az and B = 3ax + 2ay -7az . Which of the following vector…

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Q: Question 2 Let 1 and v = 1 -5 3 Which one of the following vectors is a linear combination of ủ and…

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Q: QUESTION 5 The j-component of the vector that has length of 16 and makes an angle of 7T with the…

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Q: 11.3.19 In the figure to the right, it looks as if v, + v, and v, - v, are orthogonal. Under what…

A: Dot product of two orthogonal vectors are always equals to "0" . Therefore, if v1+v2 and v1-v2 are…

Q: QUESTION 3.) A Trapezoid with midpoints... * In a trapezoid ABCD, U is the midpoint of the side AB,…

A: see below attachments

Q: QUESTION 1 Using the vectors V1 = (a) 10v₁-4v2 (b) (15)v₂ 3 -6 2 -5 H 2 and V₂ = 11, compute the…

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Q: Problem 6. For what values of h are the vectors -21 [*] 3 h and linearly independent?

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Q: QUESTION 4 For a given 3-Dimensional vector: A = Axi + Ayj + Azk Its magnitude maybe obtained by…

A: The complete sectence is: For a three dimensional vector:         A=Axi+Ayj+Azk Its magnitude maybe…

Q: QUESTION 1. Three vectors are defined by position vectors defined m= (5,4,2), ñ =(-1,–3,6) and =…

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Q: The third question (1) Let 0 be the angle between vectors 1 and 3 Find the value of the angle and…

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Q: Question 1. Use the following information about some vectors in R to answer the questions following:…

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Q: The angle between vector A =4ax+5ay+6az and B = 3ax -2ay + 4az is * O 68.75 degrees O 56.62 degrees…

A: Angle between two vectors

Q: Question 13 Given the following vectors, findA (B× C). A = [z]j– [y]k B= 2i + 3j C=31 – 6k

A: the given vectors are: A=xj^-yk^B=2i^+3j^C=3i^-6k^ we have to find A·B×C

Q: QUESTION 3 Let A(3, –1,1), B(-4,2, –1) and C(2, -3,1) be three points in 3-space. Find the angle…

A: A(x0, y0, z0), B(x1, y1, z1), C(x2, y2, z2) then AB = (x1-x0, y1-y0, z1-z0) AC = (x2-x0, y2-y0,…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.