AQRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what 5. will S' be? O a) S'(3, 7) O b) S'(-3, 7) O c) S'(-3, -7) O d) S'(3, 7)

Q: Compute ye*ds where Cis the line segment from (1,2) to (4,7). .A 16 34 e4

A: According to the given information, it is required to calculate the value of integral.

Q: A particle travels along a path from (0, 0) to (3, 4). What is thedisplacement? Can the distance…

A: Given- A particle travels along a path from (0, 0) to (3, 4). To find- The displacement and check if…

Q: 3.4 Compute the angle between -- ). --- 1 y = 2 using a. (x, y) := x'y TBy, 2 В:- 1 b. (x, y) := x 3

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Q: Let / be the line (1,-1, 1) + t(0, 2, 1). Let Q = (1,0, 1). Find the distance from Q to l. perp PQ…

A: We have to find the perpendicular distance between point Q and line l. Point Q is 1, 0, 1 and line l…

Q: Suppose that (a) point C lies in plane X and (b) point D lies in plane X. What can you conclude…

A: Let point C and D lies in plane X. A straight line can be formed by joining the points C and D. Let…

Q: What are the coordinates of the point on the directed line segment from (-1, -9) to (2, 6) that…

A: Use the section formula and simplify.

Q: 3-) Find the pointls) to point Az(d,0) on x-3~y2 that are closest メ=2 25 +1,5 0.5 + - -ロ5 + 8.5 to…

A: here we have to find the point on the curve x=3-y2 that are closest to point A(1,0) let point is…

Q: In the coordinate plane, right triangle AXYZ is reflected over the line y = x. 5 3 X 2- -6 -5 -4 -3…

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Q: What is the distance between points P (-3, 5) and S (6, 9) ? O 4 uni O Y Uds O v97m O 13 urits

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Q: Let P,(1,2, 1)and Pz = (4,2,4). a. Find the direction of the P,Pz b. Find the midpoint of line…

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Q: What are the coordinates of the point on the directed line segment from (-1, –6) to (8, –3) that…

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Q: Suppose the midpoint of RT is M = (3,0). If point R has the coordinates of (-1, 4), what are the…

A: Given midpoint RT is M =(3,0)

Q: The midpoint of AB is at (- 1, – 1). If A = (5, Tind B. %3D - B is:(

A:

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

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Q: What are the coordinates of the point on the directed line segment from (-8,-2) to (6, 2) that…

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Q: Let C be the line segment connecting the points P(−2,1,−4) and Q(5,−4,3). Evaluate ∫C(2x+4z)dy…

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Q: Let I be the line (1, -1,1) + t(0, 2, 1). Let Q = (1,0, 1). Find the distance from Q to l. %3D

A: Given line is                                                       l:1, -1, 1+t0, 2, 1 vector…

Q: If A is (- 8, 3) and B is (- 4, – 1), then the midpoint of AB is (_?, ?_).

A: We know that, mid point of a line segment joining the points x1,y1 and x2,y2 is given as Mid…

Q: Consider the points P(2, −1, 0), Q(5, 0, 0), and R(3, 1,√5). Find the coordinates of the point S on…

A:

Q: The endpoints of directed line segment PQ have coordinates of P(-7,–5) and Q(5,3). What are the…

A: Given:

Q: The distance between the points (a, b) and (c, d) is So the distance between (1, 2) and (7, 10) is

A: Given- The distance between the points a,b and c,d is a-c2+b-d2. To find- The distance between the…

Q: circle passing through (a, b) and cuts orthogonally to circle x? + y? = p², is

A: Introduction :

Q: A trapezoid is shown in the coordinate plane. 10 9- 8 7- 6- 5- 4 3- 2- -10 -9 -8 -7 -6 -5 -4 -3 -2…

A: Given is a trapezoid, when we divide it into 2 parts   equally, the left and right side will be…

Q: What is the distance between point (2,4,5) to line r = (1,2,5) + t (-1,2, -1)?

A:

Q: Find the distance d between the points (2, 3,−1) and (4,−1, 3).

A: Given : 2,3,-1 and 4,-1,3

Q: Find the equation of the Mane that contains the line 3X - 2:2 = - 39 = 7-7 and that is Para llel to…

A: When the plane is parallel to the line x-y+z=2: Here n1→=i^-j^+k^ and a→=2i^+3j^+k^ To find…

Q: If ∆MNP is reflected across the line y = 2, then translated using the rule (x + y) → (x – 8, y – 1),…

A: We have been given the coordinates of the point P(7, 4) using the rule  (x + y) → (x – 8, y – 1).

Q: The distance between the points P(0, 0,4) and Q(7,6, 8) is V102 Select one: True False

A: According to question,Given points,P0, 0, 4 and Q7, 6, 8

Q: Show that the point P(3, 1, 2) is equidistant from the points A(2, -1, 3) and B(4, 3, 1).

A: Let the distance between P(3, 1, 2) and A(2, -1, 3) be d1 and the distance between P(3, 1, 2) and…

Q: What are the coordinates of the point on the directed line segment from (3, 3) to (10,-4) that…

A: General formula

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

A:

Q: Consider the points P(-4, 1, 0, 3), Q(0, 3, 1, -4), R(-2, 1, 5, 0). RS PQ is parallel to Find the…

A: Given:- P=(-4,1,0,3) ,Q=(0,3,1,-4) and R=(-2,1,5,0) To find the point S in R4 whose third component…

Q: From Be helie angle, ZA- No ma 9=ZAt Zる 2.comp Module ma ZA= 4 Vto Z8 Lt ZA k 2-55 ZB cosp

A: Yes it is possible. Multiply and divide the numerator of right hand side of equation by ZB. Given…

Q: Find the length of the line segment described by, (x,y,z)=(1,2,1) +t(-1,5,4)), where 0<t<5.

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Q: What is the distance from the point S(-2, 3, -2) to the line of intersection of the planes 2x + 3y +…

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Q: - Find the slopes of the sides of triangle with vertices (0, 3), (2, 0), and (6,-). Is that a right…

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Q: 2.) Example: Prove the Symmetric Property for the line segments. Given: PQ XY Prove: XY PQ P. Y Q

A: For the given line segments PQ≅XY

Q: What are the coordinates of the point on the directed line segment from (-9, –2) to (9, –6) that…

A:

Q: Find the distance between the skew lines r(t)=⟨3,−2,−4⟩t+⟨−4,−2,5⟩ and p(s)=⟨5,2,1⟩s+⟨−6,4,7⟩

A: Given r(t)=⟨3,−2,−4⟩t+⟨−4,−2,5⟩ and p(s)=⟨5,2,1⟩s+⟨−6,4,7⟩

Q: Consider the points P=(20,n,21) and Q=(10,0,10). n < 0 y ||PQ|| = V230 %3D If it holds that then it…

A: The points P=20, n, 21 and Q=10, 0, 10Where, n&lt;0If PQ→=230Then to find the true statement about…

Q: calculate Sry³ dA where Ris the vertex of the triangle (0, 2), (1,1) and (3,3 )|

A: The sketch of R is

Q: What are the coordinates of the point on the directed line segment from (–10, –1) to (10,-6) that…

A: If a point on the directed line segment from (x1, y1) to (x2, y2) partitions the segment into a…

Q: What are the coordinates of the point on the directed line segment from (-1, –2) to (9, –10) that…

A:

Q: Show the lines (x, y, z) = (5 + 2t, 3 + 2t, 1 – t) and (x, y, z) = (13 – 3r, 13 + 2r, 4 + 4r) are…

A: Given:- Show the lines (x, y, z) = (5 + 2t, 3+2t, 1- t) and (x, y, z)= (13-3r, 13 + 2r, 4 + 4r) are…

Q: The midpoint of AB is at (0, 0). If A = (-5, 4), find B. B is: (

A: Given :A=-5, 4Mid Point of AB=0,0

Q: Plot The Points Pht The poit whese Jiven. Then finel I polor coordmter of This poists, one wilth…

A: A given point can be represented in polar coordinates in infinite ways. The concept of negative r is…

Q: A , B and C have coordinates ( 2 , 9 ) , ( 10 , − 7 ) and ( 6 , p ) respectively. Line A B is…

A: