Line t contains the points (5, 2) and (-2,-3). Plot a point other than point P with integral coordinates that is on a line perpendicular to line t and passes through point P. Label it Q.

Q: Find the distance from the point (3,-1, 4) to the line z -2+3t, y = -2t, z = 1+ 4t.

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Q: The distance between the line x - y + 3 = 0 and the line y = x + 2 is

A: The given two lines are x-y+3=0  and y=x+2. The equation of second line can be written as x-y+2=0.…

Q: A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on this…

A: We answer only one question at a time , so we will answer the first question since the exact one…

Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3-2t ,y=-2t+1 ,z=t is

A: We are supposed to find the distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3-2t…

Q: Find the distance between points (x1,-X3, X2) and (x2, 45°, x1)

A: Given

Q: Find the area of the triangle bounded by the lines y=x+3, y=2x-1 and y=-3x+4

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Q: Line m is a line that passes through point m and is parallel to line l.  What is the equation of…

A: Given, if m is a line that passes through point M and is parallel to line l.we have to find the…

Q: Find the distance of the line 4x + 7y+ 5 = 0 from the point (1, 2) along the line 2x - y= 0.

A: Consider the provided question, (21) First find the intersection point of the two lines,

Q: Find the distance d between the points (-4,5) and (3,2).

A: To find the distance between two points -4,5 and 3,2. Solution: We know that distance between two…

Q: Calculate the distance between the points P = (-7, 0) and N=(-4, -6) in the coordinate plane. Give…

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Q: Find the exact value of the distance between the line of intersection of the planes 2x-y+2z 6,…

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Q: The midpoint of a line segment whose endpoints are (x1, y1) and (x2, y2) is (______ ,________ ).

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Q: Find the equation of the line through point (3,7,-11) y is perpendicular to the xz-plane

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Q: Find the distance between the points (3, 1) and (−3, 0).

A: Given Two points; (3,1),(-3,0)

Q: Point (x ,y) distance from Q А (5,5) (2,3) (1,1) V20 В 1 C 6. A 5

A: Given: A(5,5) B(2,3) C(1,1) AQ=20 BQ=1 CQ=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.

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Q: Line A goes through the points (0,3) and (5,-1). Plot another point other than point B with integral…

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Q: Find the distance between the points (-3,0) and (3,1)

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Q: Find the distance from the point (3, -4, 2) to the yz-plane

A: We have to find the distance from the point 3,-4,2 to the yz-plane. We know that if any point px,y,z…

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

A: Given standard equation of line 4x+3y+4=0 and a point (-3,1)

Q: The point (5,4,7) is the midpoint between the points (10,8,1) and (x,y,2). Find (x,y,2).

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Q: The distance between point (1,1,5) and the line x=1+t,y=3-t ,z=2t is:

A: Find the distance between point (1,1,5) and the line x=1+t,y=3-t ,z=2t.

Q: XIV. Give equation of straight line through point (1,3,-2) perpendicular to z = Зх-2y +4.

A: Given z=3x−2y+4 and point is x0,y0,z0=1,3,−2 We have to find the equation of straight line through…

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: The distance between the points (1,−2, 0) and (4, 0, 5) is _____ .

A: Given Two points; (1,−2, 0) and (4, 0, 5)

Q: What is the distance between points (0,0) and (-3,4)?

A: Given points are  We know that distance between the points (x1,y1) and (x2,y2) can be calculated by…

Q: Find a parameterization for the line segment from (2, -1) to (1,4).

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

A: We want to find the distance between the given two points. We use formula for finding the distance…

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: Determine the equațion of a line that is perpendicular to y=x+5 that goes through the point (5,-2)…

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Q: Find the point on the line y = 2x + 3 that is closest to theorigin.

A: Given equation of line,  y = 2x + 3 To find the point on line that is closest to the origin.

Q: Find the distance between points (2,3,5) and (-1,4,-2) in space

A: The given points are (2,3,5) and (-1,4,-2).

Q: find the length of the segment of the line y-3x=0 from the point (1,3) to the point (2,6)

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Q: Line A goes through the points (0,3) and (5,-1). Plot another point other than point B with integral…

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Q: Find the relationship between x and y such that the point (x,y) is equidistance from the points…

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Q: Find the distance between the points (2, −1, 3) and (1, 0, −2).

A: To find the distance between the points (2, −1, 3) and (1, 0, −2).

Q: In the xy-plane, line k intersects the y-axis at the point (0, –6) and passes through the point (2,…

A: Given:- In the xy-plane, line k intersects the y-axis at the point (0, -6) and passes through the…

Q: Find the distance between the points (5,3) and (3,0)

A: Given,          The distance between between the points 5,3 and 3,0.We know that,          The…

Q: Write down equation of the line in space passing through the points Po(1,0,0) and P (0, 1, 1).

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Q: Find the point on the line 2x + y = 9 that is closest to the point (−2, 1).

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Q: The 3 lines x = 3, y – 2.5 = --(x – 0.5), and y – 2.5 = x – 3.5 intersect at point P. Find the…

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Q: Find an equation of a line containing the point (1, 7, -3) and parallel to the yz- plane.

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Q: Find the distance between the points (-1,2) and (1,-1)

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Q: Find the point on the line 5x + y = 7 that is closest to the point (−2, 1).

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Q: The point (5,4,7) is the midpoint between the points (10,8,1) and (x,y,z).  Find (x,y,z)

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Q: Find the distance from the point (2, 2, 3) to the line passing through (0, 0, 0) and (1, 1, 0)

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Q: Find the distance from the point (-2, 1, 4) to the plane x = 3

A: Given: The point -2,1,4 and plane x=3 To find: Distance from the given point to the given plane.

Q: 6. Find the distance between the point (-3, 1) and the line 4x + 3y + 4 = 0.

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Q: Find the distance from the point (-4,3,-2) to the yz-plane.

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Q: Find the distance between points A(1,1,0) and B(1,0,1)?

A: A1, 1, 0 & B1, 0, 1.