Find the acute angle between the lines. x - 1 3 - y z + 5 (a) l1 : 3 (b) l1 : x = 7 – 2t, y = 4+ 3t, z = 5t %3D 1 x - 1 Y - 3 z +5 l2 : 2 l2: x = -1+4s, y = 3+4s, z = 1+s. -1 -2

Q: 5. Find the symmetric equations of the line passing through A (-1,-8, 1) and B(-1,-4,3).

A: The symmetric equation of a line passing through the points

Q: The equation for the line that passes through the point (1,0) and perpendicular to the --1 is line x…

A:

Q: Write the formula used to find the slope of the line passing through (x1, Y1) and (x2, Y2). Y2 - Yı…

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Q: Find the angle formed by the line 3x+4y-12=0 with the x-axis.

A: Angle of the line along x-axis

Q: Find the equation of the line perpendicular to the line 3x + 4y +6 = 0 and making the intercept -4…

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Q: Write the equation of the line PERPENDICULAR to 8y – 2x = 6 passing through (-3, 2)

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Q: А. (-4, 2) В. (2, 4) О с. (2,4) D. (-2,-4)

A: The rules of reflection points are: If the point is reflected over the x-axis, the coordinate of y…

Q: Find the point on the line 2x + y = 7 that is closest to the point (−4, 2).

A: We use second derivative test to find out point where distance minimum

Q: Find the distance between the two points.   ​(3​,−10​) and ​(27​,0​) The distance is

A:

Q: For the Attached problem, Identify the equilibrium values. Which are stable and which are unstable?…

A: Consider the given equation. y'=y3-y2 Put the derivative equal to zero and find the equilibrium…

Q: (3,-6) is an endpoint coordinate on a line segment, where the midpoint is given to us as (1, -2).…

A:

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.