x-2 y-3 z- 4 x+2_ y-2 z+ 4 and 3. a) Find the shortest distance between lines 4 3 5 4

Q: 11. Determine whether the lines are parallel, perpendicular, or neither. Show your work. 4 Line 1:…

A: Since the product of slopes is -1 hence these lines are perpendicular.

Q: What are the coordinates of the point on the directed line segment from (-10, 3) to (-7,–3) that…

A: Here we have to find the coordinates of the point on the directed line segment from (-10,3) to…

Q: Find a pair of non-negative numbers that have a product of 162 and minimize the sum of two times the…

A: Our Aim is to find a pair of non-negative numbers that have a productof 162 and minimizes the sum of…

Q: A circle passes through the point (6, 2). If segments of the straight lines x + y = 6 and x + 2y = 4…

A: We can find the radius as below.

Q: Which of the fallowing lines are parallel to line ur(3,0,1,5.2) O (3,0,-1,5, 2) O (6.0,-2,-10,4) O…

A: If we multiply any number to vector that are parallel vector

Q: Find the shortest distance between the (entire) line L1 passing through the points A(1, 1, 2) and…

A:

Q: 3) What is the distance between points (0, -1) and (10, -5)?

A:

Q: To graph 1) Start at y-int ( 1 point) 7)Graph fx) = -x + 1 if { x > 1} -2x, if { x<1} 2) Apply slope…

A: graph

Q: 8. What is t line x = 5

A: We have given a region bounded by the curve y=3-6x , x=5and x-axisthe region is show in the graph

Q: 5. Compute the distance between these pairs of points: (a) (-2, 5) and (4, 13) (b) (3,-4) and (8, 8)

A:

Q: Find the point on the line T = (-2, 2, 3) + t(4, 1, 1) that presents the shortest distance to the…

A:

Q: Consider point P(4, 2) and line l with equation −3x+4y=6 .

A: Substitute x=4 and y=2 into the given equation. -12+8=-4

Q: 12) What has all its point equidistance from a fixed point?

A: Solution.

Q: Find the distance between u = 0 - 4 and z = 3 - 3 - 1 8

A: The distance between two vectors u=a1a2a3 and v=b1b2b3 is: d=b1-a22+b2-a22+b3-a32 The distance…

Q: Find the three areas of the region bounded by y= 2x²+10 , y=4x+1 and the lines x=-2 and x=5.

A: We need to find the area between two curves. The area between two curves y=fx, y=gx for x∈a,b is…

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: The shortest distance from (−7,6,−8) to the xy-plane is

A: Since the plane is a xy-plane so, the point will be (-7,6,0).

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: 3- The line jaining the origin and Point_of intersection of the linesr(X=l+2t_ ys-3+4Ł,2=t) aul (x-…

A: Given that: Lines are: L1: (x=1+2t, y=-3+4t, z=t) and L2: (x=-2+3t, y=-5+3t, z=-12+34t)

Q: 2 (6, 0) 10 9- plane is taking off. As it ascends during take-off, it makes a slanted line rainbow…

A:

Q: I. Find the distance between the two pairs of points 1. (3, 5) and (6, 8) 2. (2, 5) and -4, -2) 3.…

A:

Q: Point A is located at (4, 1) and point B is located at (9, 13). What are the coordinates of the…

A: Given, Coordinates of point A 4, 1  and point B 9, 13  A point divide the line segment in the ratio…

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).

A:

Q: Find the midpoint of the line segment from P1=(-5,5) top2=(3,1) . Plot the points p1andp2 and their…

A: given,     a line segment from p1=-5,5 and p2=3,1

Q: The graph of the corresponding equation of a linear inequalityis a line that separates the xy-plane…

A: We have complete the missing word/words.

Q: Determine what is the minimum distance from the origin to the line  y=-2x+5

A: topic - distance of line from origin

Q: 6. parallel to y%3D through (-3, 6)

A:

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

A:

Q: Point A is located at (5, 4) and point B is located at (10, 12). What point partitions the directed…

A: Given: A(5,4) B(10,12) m:n =3:1

Q: Find the shortest distance between the point Q (2, 0, 0) and the line determined by the points P1(0,…

A: Find the shortest distance between the point Q (2, 0, 0) and the line determined by the points P1(0,…

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

A:

Q: Find the shortest distance between two lines, one passing through the points A = (-1,5,4) and B =…

A:

Q: 4. Find the line(s) containing the point (–1,4) and lying at a distance of 5 from the point (6,3).

A: (Note: We are entitled to solve only one question at a time) To Find: The lines containing the point…

Q: Calculate the distance between the points K=(-9,7) and M=(-4, 2) in the coordinate plane. Give an…

A:

Q: 1. Find the distance from the point to the given line by using the distance theorem…

A: Suppose the line l is Ax+By+C=0 and any point is P0x0, y0. Then the distance from the point P0 to…

Q: 14. How many straight lines can be formed by joining 12 points on a plane out of which no points are…

A:

Q: Theorem 1-1 states that two lines intersect in exactly onepoint. The diagram suggests what would…

A: Given Theorem 1-1 states that two lines intersect in exactly one point.

Q: 2. What is the term for part of a line that is bounded by two distinct endpoints and contains every…

A: We know that a line segment is a part of a line that is bounded by two distinct endpoints and…

Q: 13. . There are 8 points in a plane out of which 3 are collinear. How many straight lines can be…

A: There are 8 points in a plane out of which 3 are collinear and 5 are non collinear points.

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

A: the given points are: (-4,-10), (10,-2)If (x,y) be the coordinate of the point than partition the…

Q: A wire of length 12 m is divided into two pieces and the pieces are bent into a square and a circle.…

A: Let, x m makes circle and (12-x) m makes the square  Let, s= length of each side of the square  And…

Q: Show that the locus of the point whose distance from Y-axis is thrice it's distance from (1,2,-1) is…

A:

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

A:

Q: 4) Find the equation of the line through the point (3,5) that minimizes the area of the triangle…

A:

Q: What is the equation of a line that goes through the point (0, 2) and has a sloj y = - x + 2 y = 2x…

A:

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

A: A1, 1, 0 &amp; B1, 0, 1.

Q: A river flows between the lines x = 3 and x = 4. Where should a bridgebe constructed to minimize the…

A: A river flows between the line x=3 and x=4. Bridge constructed to the path from O(0,0) to P(5,4).

Q: 9. If a projectivity from a point to itself fixes two lines through the point, then the projectivity…

A: True Statement.