Let ū = (1, 2, -3, 0) and v = (5, 1, 2, -2) . Find the distance between 2u and -30. Round off answer to 2 decimal places.

Q: find the angle between the 3x lines y 4 З and 5x - 2у %3D 10. -

A: The two lines are as follows y=3x4-3 and 5x-2y=102y=5x-10y=52x-10 comparing with y=mx+c where m is…

Q: find the distance from the point (2,5) to the line y=2x.

A: Refer  to the question,The distance from a point to the line is the shortest distance between the…

Q: Determine the angle between the two lines: 1₁: 7 = (1,0) + t(0, —2), t ¤ R x+2 y-3 and 1₂: *+² = −³.…

A: Given

Q: The distance between the points A = (-3, –2) and B = (3,3) is,

A:

Q: Find the distance between the points (3, - 6) and (1, 0).

A: The given two points are 3,-6 and 1,0 Using the distance formula, the distance between two points…

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

A: Given

Q: Calculate the distance between the points H= (-1,2) and B= (4,-3) in the coordinate plane. Round…

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Q: Find the distance from the point to the line. (-4, – 2,1); x= 5 – t, y = 1- 2t, z = - 6 + 3t

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Q: Find the distance from the point (3,4,1) to the line x=0, y= 4+2t, z= 1+t

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Q: . Find the exact distance between P1 = ( - 1, - 7) andP2 = ( 2, - 1). Then approximate the distance…

A: We know that, the distance d between two points x1,y1 and x2,y2 is given as d=x2-x12+y2-y12…

Q: Plot two points that are both 3 units away from the x-axis and 3 units away from (5, 4). (Hint: Use…

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

A:

Q: Use the method above to find the distance from the point P(-3, 1, 2) to the line through A(1, 1,0)…

A:

Q: Find the distance between the two Y(2, 0), P(2, 6)

A: to find distance between two points  Y2,0 and P2,6

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

A: Given points are  x1,y1=1,-1x2,y2=2,-2

Q: Find the coordinates of the midpoint of the line segment PQ. P(x-Z, r), Q(x + z, r) Select one: O A.…

A: The mid-point formula of a line segment is, x,y=x1+x22,y1+y22 where x,y is mid-point of the line…

Q: Find the acute angle between the lines x + 2y = 7 and 5x – y = 2. %3D

A:

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

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

Q: find the distance from the point to the line. (3, -1, 4); x = 4 - t, y = 3 + 2t, z = -5 + 3t

A: Given Data The points is 3,-1,4. x=4-t. y=3+2t. z=-5+3t.   The line is passes through the points of…

Q: 11. X(3, 2), Y(3, -12) 12. A(-4, -2), В(4, - 1)

A:

Q: Plot each pair of points and compute the distance between them: (1, 4) and (3, 2)

A: Here given points  x1, y1=1, 4, x2, y2=3, 2 Use the distance formula between two points…

Q: Find the distance from the point (3, 9) to the line y = 2x.

A: To find the distance from the point (3, 9) to the line y = 2x.Observe that the slope of the given…

Q: Find the distance between points A (-2,6) and B (4,-3)

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Q: Find the distance from the point (1,1,5) to the line x=1+t, y= 3-t, z=2t O 2.236 O 0.36 O 36

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Q: Find the midpoint between the coordinate points (1, - 4) and (4, 0).

A: We can solve the problem by the formula of obtaining midpoint.

Q: ) Find the distance from the point (4, 1, 2) to the line x = 0, y = 1+ 5t, z = 2+ t.

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Q: Find the value of  x for which the distance between the point P(2, -3) and Q (x, 5) is 10

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Q: Find the distance from the point A to the line through the points B and C where A, B, d C have the…

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Q: The midpoint of AB is at (- 4, - 2). If A = (0, 10), find B. B is:(

A:

Q: Find the distance between the points A(2, 5) and B(4, -1).

A: The distance d between two points x1,y1 and x2,y2 is given by; d=x1-x22+(y2-y1)2  Therefore the…

Q: find the distance between the Linel L) through A(I,0,-1), B (-1,)andthe Line (L2) through C…

A:

Q: The distance between the points A= (-4,-2) and B= (4,4) is O V217 units O V41 units O v65 units O…

A:

Q: Find the value of x,if the distance between the pints (x,1) and (3,2) is 5

A: We have to find the value of x if the distance between the points x,1 and 3,2 is 5.

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 distance from the point (4, 1, 2) to the line x = 0, y = 1+ 5t, Z = 2 + t.

A:

Q: Find the distance from the point (1, 5, 5) to the line x = 0, y = 5 + t, z = 5 + 5t.

A:

Q: Find the distance from the point (4, 3, 0) to thea. x-axis b. y-axis c. z-axis

A: It is given that, the point 4,3,0.We have to find the distance from the given  point to the a…

Q: Find the distance between each pair of points: c) (-5, 2) and (7, – 3) d) (x – 3, y + 2) and (x, y –…

A: The given points are 6,4 and  6,-3.

Q: Find a point on the line y = 2x 3 that is 5 units from the x axis. %3D

A: The given equation is, y=2x-3

Q: Find the smallest angle between the lines 2x+y-8=0 and x+3y+4=0

A: We have to find angle between lines.

Q: Find the distance from the point to the line. Knowing that the point Po (2, 1, 3), x= 2+2t, y= 1+6t…

A: This question is based on distance between point and line in 3d geometry.

Q: Find the distance from the point (1,–4,2) to the line x=2+t, y =-2+2t, z = 4 –t Try not to use any…

A:

Q: Find the distance from the point S(- 6,6,8) to the line x = 6t, y = 4t, and z = 4t. The distance is…

A: The given equation of line is: x=6t,  y=4t,  z=4t

Q: Find the distance between (2,0) and (8, - 3) The distance d between the points

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Q: Find xz ds, where C is the line segment from (0,-2,4) to (0,-6,1).

A:

Q: Calculate the distance between the points H= (1, - 1) and J= (9, - 8) in the coordinate plane. Round…

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Q: find the distance from the point to the line. (-1, 4, 3); x = 10 + 4t, y = -3, z = 4t

A: Given  Point = P (-1, 4, 3) Equation of line : L1 :  x = 10 + 4t, y = -3, z = 4t Rewrite the…

Q: Find the distance of the point (4, 2, −4) from the line r(t) = (−1+ 2t, 1+ 2t, 7 – 3t). Answer:

A:

Q: Find two numbers y such that the distance from 1 - 3, 22 to15, y2 is 10.

A: The distance from -3, 2 to 5, y is 10.

Q: State the formula for the distance between (x1, y1) and (x2, y2).

A: Determine the formula for the distance between x1, y1 & x2, y2

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.