Find the line through (1,-1,1)and normal to the line  3x=2y=z , and parallel to the plance  x+y-z=0 .

Q: Find the equation of the line perpendicular to y=−2y= through the point (3,2)

A:

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 an equation of the line through (-2, 5, 3) that is perpendicular to both u = (1, 1, 2) and the…

A:

Q: Find the distance of the point (1,3) from the line 2x-3y+9=0 measured along a line x-y+1=0.

A: Firstly we will find a line passing through (1,3) and parallel to x-y+1=0 Then the point of…

Q: Find the distance between two parallel lines y = 2/3x +7 and -2x+3y=12

A:

Q: Find distance between a = (3, -1, 0, -3) and b = (4, 0, 1, 2).

A: Given a=(3,-1,0,-3) and b=(4,0,1,2) and we have to find distance between a and b

Q: Find equation of two different lines l2 and l3 through the point (6,-4) that are parallel to the…

A: The equation of line in standard form is ax+by=k where k is a constant. Since the equation of the…

Q: Find the distance from the point (5,-3) to the line 7x - 4y - 28 = 0

A: As we know that; The expression for the distance from the given point Px0,y0 to the line…

Q: Determine the value of a for which the line through (2, - 3) and (5, a) is perpendicular to the line…

A: Given:  Two points (2, -3)  and  (5, a)To determine the…

Q: find the equation of the line parallel to 2x+4y=9 through (6,1)

A: On simplification, we get Now since parallel lines have same slope, therefore slope of required…

Q: Find equations of a line perpendicular to the lines x = y = z and x = 2y = 3z, passing through the…

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Q: Find the distance from the point (2, 6) to the line 2x - 5y = 0. Distance =

A:

Q: Find the distance between the point (2, 9) and the line y = 3x + 4

A: Find the distance between the point (2, 9) and the line y = 3x + 4 To find the distance between a…

Q: Calculate the distance between the points S=(-3,-7) and M=(2,-1)

A:

Q: Find an equation of the line through (2,-5) that is  A- Perpendicular to 3x-2y=6 B- Parallel to…

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Q: The line perpendicular to y=9x+5 and containing (5,4)

A: Given:

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.