Let v be the vector from initial point P1 to terminal point P2. Write v in terms of i and j A. P1= (2,7), P2=(8,-5) v=      i +       j B. P1= (4,-4), P2= (4,-10) v=       i+        j

Q: The vector v = ⟨−1, 3⟩ and its Initial point: (4, 2). Find the terminal point.

A: Given: To Find: Terminal Point   Concept:

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Q: A vector orthogonal to the plane through the points (-1,0, 0), (0, 0,-2), (2, 3, 4) is

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Q: Find the distance between the line L1 through the points A(1, 0, -1) and B(-1, 1, 0) and the line L2…

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Q: Let(vector u)=(-2,-3), (vector v=(-3,-5) and vector w=(-2,-3). Find the vector x that satisfies…

A: u=(-2,-3)v=(-3,-5)w=(-2,-3)Calculating x:

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: What is the component form of the position vector for a vector with an initial point of (-1,0) and a…

A: We have to find component form of position vector.

Q: Express the vector u = (1,-8,0) as linear combination of the vectors u, =(4,5,0) and u, = (7,6,0)…

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Q: Determine the equations of the line (vector, parametric, Cartesian and general) that passes through…

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Q: O Find a vector orthogonal to both (-2, 1, 0) and to (0, 1, –5) of the form

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Q: find vector v that is orthogonal to vector (0,1,0,0,0) Select one: a. v=( -1, 0, s, t, w) b. v=( r,…

A: Two vector are orthogonal if their dot product is zero.

Q: The coordinates of the terminal point of the vector with its initia point at (-3, 2) is (a, b).…

A: The coordinates of a vector with its initial point, <x1, y1> and the terminal point, <x2,…

Q: Find a unit vector that is anti-parallel to the vector (1,2,0,3).

A: A vector is a quantity that has both magnitude, as well as direction. A vector that has a magnitude…

Q: Find the vector equation of the line, L that passes through the points P (2, -2, 8) and Q (10, 8,…

A: Given problem:- Find the vector equation of the line, L that passes through the points P (2, -2, 8)…

Q: 1. Express A = (3, 1, –1) as B+ C, where B is parallel to the vector (1, 4, 2) and C is…

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Q: Let u be the vector with initial point 〈-2, 6〉and terminal point 〈-8, 3〉. Write u as a combination…

A: Let, x=<-2,6>=-2i+6jy=<-8,3>=-8i+3j

Q: Find the components of the vector V with point p1 (1,4,5,3). And its ending point p2 (2,5,86) I need…

A: Given point is : p1=1,4,5,3 and p2=2,5,8,6 To find the component of the vector V.

Q: Find the component form of the vector u initial point (3,8,8) terminal point (5,6,10)

A: Initial point of u is (3,8,8)terminal point of u is (5,6,10)

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: Let v be the vector from initial point P1 = (-8, 6), to terminal point P2 = (-2, 3). Write v in…

A: Let v be the vector from initial point P1-8,6, to terminal point P2-2,3.

Q: Find the magnitude of the vector AB with initial point A(1, 5) and terminal point B(-3, -3). Give…

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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: Let vector AB = (2,3,1). If the coordinates of A are (2,1,5), what are the coordinates of the point…

A: Vector AB= B-A

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, –2, -2), (2,3, 4) is

A: A vector orthogonal to the plane through the points (-1,0,0) , (0,-2,-2) , (2,3,4) is

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

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Q: The vector v and its initial point are given. Find the terminal point. v (3,-4, 6) Initial point:…

A: The basic concept used in this question is- Final vector - initial vector = vector

Q: Suppose (vector u)=(3,-4,-5) and Vector v=(2,-1,2)u+v=?u-v=?v-u=?3u=?(-1/4)v=?2u-3v=?I appreciate…

A: u=(3,-4,-5)v=(2,-1,2)

Q: Consider the vector whose initial point is P(-6, 6) and terminal point is Q(5, 3). Find the position…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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

A: The given vectors are  a=4,-5,3b=-4,0,-3

Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point:…

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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: Please reply as soon as posible Consider the vectors u = (1, -8,5) and v = (- 15.0, -3) The vector…

A: Given vectors are u = (1, -8,5) and v = (- 15.0, -3)

Q: The terminal point of the vector v = i +2j +3k with initial point (4, 2, –3) is

A:

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: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point:…

A: Using vector formula.

Q: a' and b Expess the Vector paduct in from of de terminant: 2 = (2, a, as) 5= of where , (6, b, bs)…

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Q: Find the unit vector along the line joining point (2, 4, 4) to point ( - 3 , 2, 2). A) -0.8703ax -…

A: We can solve this as follows:

Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point:…

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Q: 8

A: Given vector is v→=8-7-5 We have been asked to find two linearly independent vectors that are…

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Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point:…

A:

Q: Let x be the unit vector parallel to the vector from the point (2, 3, −2) to the point (-6,2,2).…

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Q: A vector has the given initial and terminal points. What is the corresponding position vector?…

A: The given initial point is:  (0, 0) Terminal point is:  (-2, -4)

Q: Find a vector normal to (6,0,3) and (-7,2,1). Choose the correct answer below. O A. (-6,27,12) B.…

A: we have to find a vector normal to <6, 0,3> and

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 the vector in R2 from point A = (8,9) to B = (-3,5). AB = help (vectors)

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Q: You have se ts follou Θ given of vector. which of them are judependent? There may be oue right…

A: Multipart :    We know that , the vectors , A , B , C are linearly dependent , if their determinant…

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.