B) ty A' Draw the vector v from a vertex of AABC to its image in AA'B'C'. 8' Determine the components of v. A The horizontal change from the initial point (-3, 1) to the terminal point (2, 4) is %3D -2 The vertical change from the initial point to the terminal point is %3D - Write the vector in component form. = %3D

Q: The position vector of points A, B and C are OA=2i-j+nk, OB-1+3j-2k and OC =-i-mj-3k, where O is the…

A:

Q: 4. Use vector methods to find (a) the area of the triangle ABC where A(-2, -1, 1), B(3,-2, 1) and…

A: (a) Given vertices of the triangle are A(-2,-1,1) , B(3,-2,1) and C(1,3,-2)

Q: Add the vectors u (0, 3) and i = (- 2, – 1) graphically. Your graph should include u, v and the…

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Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

A:

Q: 10 Find the vector equation of a line whose symmetric equations are z-1 y+3 %3D 3. -4 Express your…

A: To find the vector equation of a linewhose symmetric equations are   x-12=y+33=z-1-4.

Q: 3. Determine the vector equation for the line with symmetric equations*=3+22=1

A: Given: Symmetric equation of line: x-34=y+25=z-13 To find: Vector equation of line.

Q: Consider points P(-1, 4), Q(1, 7), and R(-2, 9). (a) Determine the unit vector in the direction of…

A:

Q: Express the vector v with initial point P and terminal point Q in component form. P(3, 6), Q(8, 9)…

A: Using vector form v = ai + bj,

Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(-4, 8, 0),…

A:

Q: If A is (3,5,0), B is (-1,-2,7), and C(6,1,3) forms a triangle. Find the vector component of CB…

A: let a,b,c are position vector of point A,B,C respectively. Therefore a=3i+5j, b=-i-2j+7k c=6i+j+3k…

Q: 27. Given vector v with initial point (16, -30) and terminal point (-22, -10), a. Find the component…

A: Given: A vector whose initial point is 16, -30 and terminal point is -22, -10.

Q: Find u + v, u-v, and 3u - 4v. Then sketch each resultant vector. =(3,2), v = (2, 5) %3D

A: Given that u=3,2 and v=2,5 find  a) u+v b) u-v c) 3u-4v

Q: The vector v has initial point P = ( - 1, 2) and terminal point Q = (3, - 4). Write v in the form ai…

A: Given that the vector “v” has initial points, P = (-1, 2)   Terminal points Q = (3, -4)

Q: a) Find the position vector v with initial point (4, 9) and terminal point (2, 6). Write in…

A: The component form of vector v is < x2-x1,y2-y1>

Q: 2. Start with the vector -(2, 1) a) Rotate the vector 55° counterclockwise and sketch the resulting…

A: Topic = vector

Q: Determine the tail of the vector whose head is(1, 2). Make a sketch.

A: Given the vector 26 and tail of the vector is (1,2). We need to find the head of the vector.

Q: List five vectors in Span{v,, v2}. Do not make a sketch. 7 7 V1 2 , v2 = -8

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Q: Use vectors to determine whether the points are collinear. (0, –2, –5), (15, 8, 0), (6, 2, –3) The…

A: The given points are 0,-2,-5, 15, 8, 0, 6, 2,-3

Q: 4. Convert the vector (2. 3, 4) into the i and i form. Then find its magnitude of the vector.

A: Vector form of a point (a,b,c) is given by v→=ai+bj+ck and magnitude of this vector is given by,…

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

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Q: 7. Give the terminal point of the position vector of ü= (3,4). Clearly show why %3D your answer is…

A: Concept: A vector is a directed line segment with an initial point and a terminal point. Vectors are…

Q: 2 Quadrilateral QRST shown in the graph is translated along the vector (-6, 3) and then reflected…

A: Given quadrilateral is

Q: Do the vectors ū = i+j-4k, V= -5i +3j-7k and w'= -i +4j+2k plane? 1ie in the Same

A: We have to check whether the vectors u→=i+2j-4k, v→=-5i+3j-7k, and w→=-i+4j+2k are in the same…

Q: 4. If the position vectors of the three points A, B and C are (2, 4, -1), (1, 2, -3) and (3, 1, 2)…

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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: 1. Graph the vectors a) (-3,0,0) Axis? b) (0,5.0) Axis? --

A:

Q: 3. State the components of a unit vector that is perpendicular to the vector =(5,2,-1).

A: To state the components of a unit vector that is perpendicular to the below vector v. v=5, 2, −1

Q: Draw the vector V that goes from the orogin to the given point. Then write V in component form (a,b)…

A: initial point <0,0> and final point <-3,5> then vector component (a,b)=final point -…

Q: Explain how to find a vector in the direction of the line segment from Po (*o.Yo-z0) to P:…

A: We will find the vector in the direction of the given line segment.Below find the solution in the…

Q: Express the vector v with initial point P and terminal point Q in component form. P(-7, -7), Q(-7,…

A:

Q: 3. As the Marine Engineer on board the vessel ABC Marine, you are required to verify that the…

A: The given details: The vessel ABC Marine leaves a harbour and sails 4.5 km in the direction 55…

Q: 18. A child throws a ball with a speed of 5 feet per second at an angle of 54° with the horizontal.…

A: Given Speed of a ball =5 feet per…

Q: If the vector v has initial point P, what is its terminal point? V3 (23, -5, 13), Р(-6, 4, 2) (х, у,…

A: vector= terminal point - initial point P= initial point=(-6,4,2) v=(23,-5,13) terminal point =…

Q: List five vectors in Span v1, v2}. Do not make a sketch. 6 7 v1 = 2 , v2 2 -7 ... II

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Q: . Find the direction cosines of the vector joining the two points (4, 2, 2) and (7, 6, 14).

A: Given that: Two points are (4, 2, 2) and (7, 6, 14)

Q: (b) Convert vector V = 1a, + 4a0 + 3a, from spherical to cartesian at point P = (3, 60°,60°)

A:

Q: 13. Draw the vector V that goes from the origin to the given point. Then write V in component form…

A: Given, A vector V that goes from origin to point -3, 5  We have to draw the vector V and write the…

Q: Write the component form of a vector v with initial point P(8.6, -2.5) and terminal point Q (6.7,…

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Q: Express the vector v with initial point P and terminal point Q in component form. (Assume that each…

A: From the graph we can se that the coordinates of point P is 5, 2 and the coordinates of point Q is…

Q: The position vector of points A, B and C are OA= 2i-j+nk, OB=i+j-k and OC=-i-mj-3k, where O is the…

A: Given OA→=2i→-j→+nk→           OB→=i→+3j→-2k→           OC→=-i→-mj→-3k→

Q: The vector CD→ has initial point C(−2,1) and position vector ⟨3,−9⟩. What is the terminal point D

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Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(1, −1,…

A: Find a  vector equation and parametric equation for the line joining P and QP (1,-1,5) and Q (5,2,1)

Q: Consider the vector whose initial point is P(-6, 1) and terminal point is Q(-5, -3). Find the…

A: We need to find vector.

Q: Suppose ABCD in the figure below undergoes a glide reflection that moves along the vector then…

A: Suppose ABCD in the figure below undergoes a glide reflection that moves along the vector <4,…

Q: Show that the equation of a straight line in space, represented in the Cartesian basis, is given by…

A:

Q: Consider the vector that has initial point (-3,1) and terminal point (2,-2). Find the component form…

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Q: Find an equation of a plane passing through the given point and perpendicular to the given vector.…

A: The equation of the plane perpendicular to the vector <a, b, c> is: ax+by+cz+d=0 Therefore,…

Q: Express the vector v with initial point P and terminal point Q in component form. (Assume that each…

A:

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.