In Exercises 33–34, find the distance from the point to the line. 33. (2, 1, 3); x = 2 + 2t, y = 1 + 6t, z = 3 34. (2, 1, -1); x = 2t, y = 1 + 2t, z = 2t

Q: Find the distance, to the nearest hundredth, between the given points. P1(0, 7) and P2(-4, 8) Find…

A: We need to find the distance.

Q: The distance of the point (1, 2,1) from the line 2/3 3 20 В. 3 23 C. 5 5 D. is A.

A: To determine which of the following is not trueA. p∧~q↔p→q is a tautologyB.{(p→q)∧q→r}→p→r is a…

Q: Determine the point of intersection of the lines. 4:[x, y, z]=[-3, 1, 4]+s[-1, 1, 4] (2:[x, y, z] =…

A: Let (a,b,c) denote the point of intersection So, For l1a=-3-s0b=1+s0c = 4+4s0For l2,a =…

Q: In Exercises 25–30, find the distance between points P1 and P2. 25. P1(1, 1, 1), P2(3, 3, 0) 26.…

A: Given,

Q: find the distance between the points (−2, 1, −5), (4, −1, −1)

A: Consider the formula to find the distance between 2 points in 3D and the given points. Let d be the…

Q: 4. What is the equation of a line parallel to the diameter of circle A, with a center at (-5,7) and…

A: Given query is to find the line which parallel to the given line.

Q: Find the point on the line 6x + y = 6 that is closest to the point (-4, 1). (x, y) = %3D

A: We have to find a point on the line 6x + y = 6 that is closest to the point (-4,1). Concept Used -…

Q: Show that the line koining the points A(2,3, – 1) and B (3,5, — 3),C(1,2,3) аnd (3,5.7)

A:

Q: What is the distance between points (5, 2) and (1, -3) on a coordinate plane? 4.1 © 8.5 6.4

A: We can use distance formula to find distance between two points (x1,y1) and (x2,y2).

Q: fc xyz2 ds , C is the line segment from (-1, 5, 0) to (1, 6, 4)

A:

Q: How do you find the distance between the pair of points (4,7) and (-3,-2)?

A: Given:Pair of points:(4, 7) and (–3, –2)

Q: 4. The line passes through the point (-6, 0, 8) and is parallel to the line x 5-2t, y=-4+2t, z 0.

A:

Q: Find the distance from the point (-2,2,-1) to the line a(t) = (- 2, 3, 2)t + (8, 0, - 7).

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Q: Find the EXACT distance (do NOT round) between these two lines. L1: [x, y, z] = [1, 3, 7] + t[–1,…

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Q: find the distance between points P1 and P2. P1(1, 4, 5), P2(4, -2, 7)

A: given: two points P1 and P2. P11,4,5P24,-2,7

Q: 6. What are the coordinates of the midpoint of the line segment with endpoint (-5, -2) and (3, -2)?…

A:

Q: Find the distance between two lines ()1=4-x , y;=- (x+2).

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

Q: Is the line through the points (3, 4) and (-1, 2) parallel to the line 2x + 3y = 0? Justify your…

A: Given two points: 3, 4 and -1, 2            ……1   Given line: 2x+3y=0                       ……2

Q: Find the distance from the point to the line.   (−4,4,−1)​; x=-3+3t, y=-1+t, z=1+2t   The distance…

A:

Q: Find the midpoint of the line segment joining the two points. (0, -4, 1), (6, 4, 9) (х, у, 2) %3

A: Find the mid point

Q: Find the midpoint of the line segment joining the two points. (3, 0, 9), (-1, -4, 5) (х, у, 2) %3

A: Find the mid point

Q: In Exercises 33–34, find the distance from the point to the line. 33. (3, -1, 4); x = 4 - t, y = 3 +…

A: Note:We’ll answer the 33th question since we answer only one question at a time. Please submit a new…

Q: Explain why the lines below are parallel. l: (x, y, z) = (2, 3, 4) + n(1, 2, - 3) and (2: (x, y, z)…

A: l1 : x, y, z=2, 3, 4+n1, 2, -3l2 : x, y, z=3, 7, -2+r-1, -2, 3 Here, The direction ratios of l1 are…

Q: What are the coordinates of the midpoint of segment GH with endpoints G(-2, 5) and H(4, 1)?  a (-6,…

A: midpoint of segment GH with endpoints G(-2, 5) and H(4, 1)

Q: What is the distance between points (5, 2) and (1, -3) on a coordinate plane? • 4.1 8.5 O 6.4

A: We know that distance between  two points (x1,y1) and (x2,y2) is (x2-x1)2+(y2-y1)2 By comparing x1=5…

Q: Find a best straight line y = cx+d that best fits three points (1, 1), (–-1,2), (-2, 1). %3D

A: We have the equation of given straight line as y=cx+d            ⋯⋯1 If the points 1,1,-1,2 and -2,1…

Q: What is the midpoint of line segment XY with coordinates X (-4, 10) and Y (8,6)? (-6, 2) (3, 7) (-7,…

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Q: Find the distance between the line y=4x-12 and the point (4, 15).

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Q: What is the distance between the points M(-3,1) and N(7,-3)?

A:

Q: In Exercises 33–34, find the distance from the point to the line. 33. (0, 0, 12); x = 4t, y =-2t, z…

A: We’ll answer the 33th question since we answer only one question at a time. Please submit a new…

Q: What is the distance between points F(2, 9) and G(-2, 6)? Round to the nearest whole number.…

A: Distance between two points A(x1 , y1) and B(x2 ,y2 ) is given as D = (x1-x2)2 + (y1-y2)2

Q: Scalar line integrals Evaluate the following line integral along the curve C.

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Q: Find the point on the line 3x+y=9 that is closest to the point (-4,1). (X,y)=?

A: Closest point is (x, y) =(2, 3)

Q: Find the distance between the point (-3,1) and the line 4x + 3y + 4 =0.

A:

Q: The coordinates of the midpoint of line AB are (2,4). and B (3,7). What are the coordinates of A?

A: Here given as The coordinates of the midpoint of line AB are (2,4). and B (3,7). Let coordinate of A…

Q: Find the ration in which YZ -plane divides the line joining A(2,4,5) and B(3,5,-4) .Also find the…

A:

Q: 6. The midpoint of a line segment in the standard (x,y) coordinate plane is (–5, 8). If one endpoint…

A: The midpoint of a line segment in the standard x, y coordinate plane is -5, 8. If one endpoint of…

Q: The line through the points (a, 3) and (4, -1) is perpendicular to the line y = 2x +3. Determine the…

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Q: In Exercises 33-38, find the distance from the point to the line. 33. (0, 0, 12); x = 4t, y = -2t, z…

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Q: Are the lines Perpendicular? Explain.(est review) 4 (4, 3) (-4, 2) 2 4. -2 (-5, –3) ▼ (0, -4) 2.

A: Known fact: The slope of line joining two points x1,y1  and x2,y2 is m=y2-y1x2-x1. Two lines are…

Q: Which point(s) lie on the line (x, y, z) = (2, 1, – 3) + r(3, 2,–4)? a) (2, 1,- 3) b) (8, 5,- 11)

A: The vector (x,y,z)=(2,1,-3)+r(3,2,-4)

Q: 18. Which line is perpendicular to the line y = 2x + 3? *

A: To find the correct option

Q: Explain why the lines below intersect. l1: (x, y, z) = (2, 3, 4) + n(1, 2, – 3) and l2: (x, y, z) =…

A: Given : Vector equation of the line l1 : x, y, z=2, 3, 4+n1, 2, -3 Vector equation of the line l2 :…

Q: G find the distance between fwo point (-6, 1,4), (4,0,-5)

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

Q: Find the distance between the pair of points. 6 (-) m () 6 -5.13 and 5, 13

A: Here given p[oints as Use the distance formula between two points which states

Q: 7. In the standard (x, y) coordinate plane, the point (2,7) is the midpoint of the line segment with…

A:

Q: 11b) Are the two lines perpendicular? Show work y (+5,6) 4 (1, 3) (-5, 0) 4 (-1,-2) 6.

A: Given,

Q: What is the distance between points (5, 2) and (1, -3) on a coordinate plane? 4.1 © 8.5 O 6.4

A: We need to evaluate the distance between the following two points x1,y1 = 5,2 and x2,y2 = 1,-3

Q: 3. What is the equation of a line that passes through A(-1,-1) and is perpendicular to segment BC:…

A:

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.