Determine whether the line x=3t ,y=1+t ,z=2t  and the plane x-y-z= 1 are parallel. If they are parallel, determine whether the line lies on the plane. If they are not parallel, find the intersection  point and the angle between them.

Q: Determine whether or not the lines OB and BC intersect Find the Cartesian equation of the plane II,,…

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Q: Verify that the two lines are parallel and find the distance between the lines. L1:   x = 2 − t,   y…

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Q: The distance d of a point P to the line through points A and B is the length of the component of AP…

A: Given: Points.P=(0,4,-1)A=(4,3,4)B=(-2,2,1)

Q: Determine whether the statement " If two lines L1 and L2 are each parallel to a plane, then L1 and…

A: Two lines  L1 and L2 can be perpendicular to each other and be parallel to the same plane at the…

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Which congruent angles can prove that lines L and M are parallel? 3 4 5 6 7 8 M- A. 4 and 5 B. 5 and…

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Q: Determine whether the lines  L1  and  L2  are parallel, skew, or intersecting. L1: x  =  2 − 12t,…

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Q: Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel.

A: According to question,Given equation of lines,4x - 3y +12 = 08x - 6y +15 =0

Q: Determine whether the lines L, and L, are parallel, skew, or intersecting. x - 3 y – 2 _ z - 12 1 -2…

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Q: Determine whether the line L and plane PL are intersected, if so, coordinates of intersection point…

A: NOTE: Refresh your page if you can't see any equations. . the given line is introduce the variable…

Q: (b) How do you find the distance from a point to a plane?

A: Formula to find the distance from a point (x1 , y1 , z2 ) to the plane Ax+By+Cz+d=0 is given by:

Q: Find the angle between the lines: a. 2x + 3y = 0, 7x – y = 4

A: According to the policy, we will answering only (a) part If you want answer another part please…

Q: Which of the following is the correct definition for perpendicular lines? O Lines that intersect and…

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Q: Find the perpendicular distance from the point P(9,11,−8) ft to a plane

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Q: Consider the line which passes through the point P(5, -5, 5), and which is parallel to the line x =…

A: The direction vector of the line  given by:        x=1+4ty=2+1tz=3+3t is :    r→=123+t413 So, The…

Q: Determine whether the lines L1 and L2 are parallel, skew, or intersecting. L1: x = 6 + 4t, y = 8 -…

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Q: В (4, 3, -1) m A (5,-1,3) m C

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Q: Determine whether the planes are parallel, perpendicular, or neither. 7x + 28y - 21z = 1, -3x + 6y +…

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Q: Determine whether the planes are parallel, perpendicular, or neither. 2x + 8y – 6z = 1, -3x + 6y +…

A: Given planes are ,                  2x+8y-6z=1                -3x+6y+7z=0The normal vector of…

Q: Draw a plane perpendicular to the horizontal plane inclined to the vertical (vertical) plane at an…

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Q: Let A be the point with coordinates (-2, -1, -1) and let B be the point with coordinates (2, 0, 0).…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Given two lines in space, either they are parallel, they intersect, or they are skew (lie in…

A: Consider the given line L1 and L2.…

Q: A land surveyor places two stakes 500 feet apart and locates the midpoint between the stakes from…

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Q: Determine if the lines intersect, or are skew, or are parallel. L1: x = 4+ 2t, y = -5+ 4t, z =1+3t…

A: We will find whether the lines intersect, or are skew ,or are parallel as following.

Q: Which congruent angles can prove that lines L and M are parallel? L- 3 4 5 6 78 A. 2 and 1 B. 4 and…

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Q: Draw an image of quadrilateral ABCD on the coordinate plane reflected over the y-axis

A: when Quralatral reflected over y-axis then y coordinate does not change only x coordinate change

Q: The distance d of a point P to the line through points A and B is the length of the component of AP…

A: Solution:-

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given that the first equation is          x3=y-2-1=z+11  Its parametric form are:    x=3t , y=-t+2 ,…

Q: Find the equation of one of the angle bisectors of lines l and m such that 2 %3D -2 = 8 guenfT onal…

A: If the equation of line in Cartesian form is x-x1a=y-y1b=z-z1c=λ then its vector form is…

Q: A corner lot of land is 122.5 m. on one street and 150 m. on the other street, the angle between the…

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Q: A land surveyor places two stakes 500 ft apart. He locates the midpoint between the two stakes and…

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Q: Determine whether the lines  L1  and  L2  are parallel, skew, or intersecting. L1: x = 9 + 6t,  y…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Determine whether the lines L, and L, are parallel, skew, or intersecting. х — 1 y - 2 z - 12 %3D 1…

A: Given problem :-     To find:-  Intersection point of given lines

Q: Determine whether the given lines are parallel. y = 2x + 3 бх — Зу %3D 4 Yes, they are parallel. No,…

A: Explanation of the solution is given below...

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: name a point that is contained on both s(t) and p(t) and find the equation of a plane that contains…

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Q: In each case, determine whether or not the lines have a single point of intersection. If they do,…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given the two lines

Q: Let A be the point with coordinates (0, -3, 3) and let B be the point with coordinates (2, 0, 0).…

A: Given: A=0,-3,3B=2,0,0

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Determine whether the lines L1 and L2 are parallel, skew, or intersecting. L1: x = 8 – 9t, y = 7 +…

A: Given :                  L1 :  x = 8 - 9t , y = 7 + 3t , z = 9 - 12t                  L2 :  x = 7…

Q: Determine whether the lines intersect, and if so, find the point of intersection and the angle…

A: The equation of two lines given to us is - x-2-3=y-26=z-3 and x-32=y+5=z+24 So, we have…

Q: Prove that the lines r = (1, 2, −1) + t(2, 2, 1) and r = (−1, −2, 3) + s(4, 6, −3) intersect, and…

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Q: Which supplementary angles can prove that lines L and M are parallel? L- 3 4 5 6 7 8 M- A. 1 and 7…

A: To determine: The supplementary angles can prove the lines L and M are parallel. Explanation by…

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.