What point divides the directed line segment AB into a 2 : 3 ratio? A B. 4. 2 3 6789 10 11 12 13 14 15 O (6, 1) O (8, 1) о (10, 1) O (12, 1)

Q: Let a = (5, 5, - 3) and b = ( – 5, 3, 0). Find the projection of b onto a. proj¡ b = <

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Q: Let C be the line segment joining A(1,1,1) to O (0,0,0). A parameterization

A: Given that A(1,1,1) and O(0,0,0) Find a parameterization

Q: Let P1, P2, P3, .. , P78 be some coplanar points with k lines on the same plane. If exactly two line…

A: Given,  P1, P2,P3,...,P78 be some coplanar points with k lines on the same plane. If exactly…

Q: The set of all directed line segments that are equivalent to a given directed line segment PQ\is…

A: The set of all directed line segments that are equivalent to a given directed line segment PQ \ is a…

Q: Express the following: as a linear combination of u = (2, 1, 4), v = (1, -1, 6) and w = (2, 2, 8).…

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Q: Let v be represented by the directed line segment from (0, 0) to (3, 2), and let u be represented by…

A: Given that, v is a line segment from (0, 0) to (3, 2) So, v=(3,2) - (0,0)= (3,2)   Given that, u is…

Q: 4. Suppose J is between H and K. Use the segment addition postulate to s each segment. JH = 2(2x –…

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Q: 12. Which line of reflection maps segment AB to segment CD, where the endpoints are A(-4, 2),…

A: We have to find the line of reflection.

Q: The points (4, 5, 2), (1, 7, 3) and (2, 4, 5) are vertices of alan h O Equilateral Triangle O…

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Q: Let →a=⟨−2,0⟩ and →b=⟨−5,5⟩ Find the projection of →b→ onto →a (   ,   )???

A: Recall: Projection of b→ onto a→ , proja→b→=a→.b→a→.a→a→

Q: Let C C R³ be the directed line segment from (1, 1, 1) to (3, 2,0). Evaluate

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Q: Find the area of the parallelogram with vertices  K(2, 3, 1), L(2, 4, 3), M(6, 10, 3), and N(6, 9,

A: So first we have to understand concepts of finding area of parallelogram-

Q: Let a = (– 5, 5, – 3) and b = (2, 1, 3). Find the projection of b onto a. proja

A: Projection b onto a is b→.a→a→2.a→

Q: Consider the following. u 3 (-4, =(-4, 6), v = (1, 1) (a) Calculate projy u.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: A plane P passes through the points P(3, –1, –4), E(2,7, –1), and G(-1,6, 1)

A: In this question, we have given three points P(3,-1,-4) E(2,7,-1) and G(-1,6,1) By using these…

Q: (a) Find the length of the projection of w onto v given that w = (4,7) and v = (1,1).

A: Given: w=4i+7j, v=i+j we know that projectionp→ of w onto v is given by p→=w.→v→v→2v→

Q: Determine the appropriate similarity theorem (AA, SAS, and SSS) that fits the given illustrations.…

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Q: Suppose that the translation T is described by (?,?)→(?+2,?−1)(x,y)→(x+2,y−1). What translation…

A: We have to find the translation described in x,y→x+2,y-1.

Q: . The directed line segment PQ\has ________ point P and ________ point Q.

A: The directed line segment PQ\has Initial point P and Terminal point Q.

Q: Compute the value of ( G. dL for G = 2ya, with A(1, -1, 2) and a) straight-line segments A(1,-1, 2)…

A: Given the line integral ∫APG·dL for G=2y,0,0 with the initial point A1,-1,2 and P2,1,2 using the…

Q: The directed line segment whose initial point is the origin is in ________ ________.

A: Our Aim is to tell what the directed line segment is being called whose initial point is the origin.

Q: Let ā = (– 1, 4) and b = (4, 5). Find the projection of b onto ä. proją b > Next Question

A: answer is in next step

Q: Find the point E that partitions the directed segment CD in a ratio of 1:5, given the points (4.-2)…

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Q: 1. Reflect an object defined by the points (1,2), (3,5), (7,8) and (4,4) about an arbitrary axis…

A: 1) Given : A1,2, B3,5, C7,8, D4,4 .

Q: Let a = (-1,4, 0) and 6 = (4, 5, - 3). %3D Find the projection of b onto a. Write an exact answer,…

A: The scalar projection of b→ onto a→ is           = a.→b→a→ a→= -1,4,0b→=4,5,-3a.→b→=…

Q: This is a prism. Which of the following is a net for a prism?

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Q: Let C be the line segment joining M(-1,3,4) to O(0,0,0) and C' be the line segment joining O(0,0,0)…

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Q: 14. What is the image of M (11, −4) using the translation (x, y)  (x – 17, y + 2)?

A: The name of the rule is a capital letter before the (x,y). The point (x,y) represents that all…

Q: Let ā = (- 4, - 5) and b (- 5, 0). Find the projection of b onto ä. Round your answer to at least 3…

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Q: 10 What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5, 1) that…

A: Use mid section formula for evaluating the coordinates of points.

Q: Find the area of the parallelogram with vertices K(3, 3, 2), L(3, 5, 4), M(7, 11, 4), and N(7, 9,

A: We have to find the area of the parallelogram of given vertices.

Q: 3. a) Compute : ♫ (Re z − 3z) dz where ♪ is a directed line segment from z = 0 to z = i.

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

Q: Which of the folowing represents an orthographic projection of the side of the following fi

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Q: Let Á = ry?a, + x³yzay, Evaluate A. dl along the path y = x2 from a(0,0,2) to b(3,9,2) Select one: O…

A: We will find out the required value.

Q: 10 What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5, 1) that…

A: We have to find out coordinates

Q: 5. GIVEN 2 AND a) FIN D OF V ONTO THE THE PROJECTION COLUMN SPACE OF A. - N MI

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Q: Consider a unit square with four vertices in a two-dimensional Euclidean space, i.e., {(x1,x2)|x¿ €…

A: As per the question we have a unit square and we have to choose two points P,Q inside it uniformly…

Q: 2. Let W = Span {u1, u2, uz3, U4, U5, U6}, where 4 1 , U5 = Uj = U2 = u3 = ,u4 = U6 = 2 2. 4 What is…

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Q: Let ā = (4, – 1) and b = (– 2,0). Find the projection of 5 onto ā. proj, 5 %3D

A: Let a→=4,-1 and b→=-2,0 To find projection of b→ on a→

Q: 5. Find the point Q along the directed line segment from point R(-3, 3) to point S(6,-3) that…

A: Here we have to find the point Q, which divides the line segment joining R(-3,3) and S(6,-3) in the…

Q: Let F(x, y, z) = (z, x, y), ar (0,0,0), (0, 1, 1), vertices are ar

A: Introduction: Stroke's theorem is simply a higher-dimensional version of Green's theorem. The line…

Q: • Let (A1, B1) and (A2, B2) be two Dedekind cuts of Q. Let C = A1 + A2 := {q1+q2 : q1 € A1, q2 E A2…

A: Second statement:      Let (A1, B1) and (A2, B2) be two Dedekind cut of ℚ such that 0∈A1, 0∈A2  and…

Q: Select the correct reason that shows that this is a parallelogram: F(2,8) E(1,5) G(4, 4) H(1, 1) O…

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Q: Let a = (4, 0, – 5) and b = (- 2, 5, 2). Find the projection of b onto ä. proją b

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Q: Let a = (- 3, – 5) and b {1, 2). Find the projection of b onto a. proj; b = >

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Q: If the translation T maps point A(7,2) onto point A'(5,5), what is the translation OA. T OB. T2,4>…

A: 25. The translation map formula: T=T&lt;A'x-Ax , Ay'-Ay&gt; Given A(7,2) and A'(5,5) Therefore T…

Q: Find the point O that partitions the directed segment MN in a ratio of 2:3, given the points…

A: The coordinates for the directed line segment MN¯ are M(-3, -2) and N(4, 2) Point O is the point…

Q: coordinates

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Q: a number Lin point c is located at -4 and point d is lifted at 6. At what point must P be located so…

A: With the help of section formula for internal division we can solve this question-

Q: Let ä = (4, – 4, 0) and b = (- 1, 2, - 4). Find the projection of b onto a. proj, b = <

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