1. Line L passes through point P(-2,5, 7) and having [4,-3, 2] as set of direction numbers. Find the intersection of line L and the xz-plane.

Q: What is the horizontal of line through the point (4,-6)?

A: Solution: In the XY coordinate system, the point notation is always written as (x,y) And, x…

Q: The plane through the points (-4,-8,-1), (8,3,5), (7,8,6) has equation Ax + By + Cz= D. If A = - 19…

A: Since plane passes through the given points therefore

Q: The line through (1, 2, 3) that is perpendicular to the lines x = 3 - 2t, y = 5 + 8t, z = 7 - 4t and…

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Q: The end points of line segment 4, which lies in the xy-plane, are (-2, 5) and (6,-3). Which of the…

A: i have used the formula of midpoint of the two points and the slope point form of the straight line…

Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

Q: 1) Explain the four possible relationships between two lines in R. y+2 x+1 y+9 -14 z-4 2) Determine…

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Q: Find a set of symmetric equations for the line “A" perpendicular to the lines having direction…

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Q: e. (-27,0,2)

A: Equation of the line is x-325=y-65 and z=2

Q: Let A be the point with coordinates (-3, 2, -1) and let B be the point with coordinates (2, 0, 0).…

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Q: Compute the distance from the point (3, 0, -1) to the line containing the points (1,0,−4) and (1,…

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Q: Find a plane through the points (1,-4,1), (-8,-8,3), (2,-3,-5)

A: NOTE: Refresh your page if you can't see any equations. . given points are

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

A: To find the distance from point D to line l.

Q: Find the line perpendicular to y=2x-3 and through the point (2,-3) B) find the lines both parallel…

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

A: let A be the point with coordinates 2,-1,0 and let B be the point with coordinates 2,0,0 let l be…

Q: Assume a line y = mx + c, [asses through the points (1, 15) and (-3, -5) Determine the slope, m, of…

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Q: 9) Find the equation for the line in space passing through the point (-2,2,-2) and parallel to the…

A: Let two points are so equation of line passing through above two points is given as follows

Q: to the coordinate plane, the point (2, 3) is translated to the point 4"(3, -1). Under the same…

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Q: A line passes through points A(-2,3) and B(5,2) Verify if points C(26,-1) and D(12,3) are on the…

A: Step 1:To verify if points C(26,-1) and D(12,3) are on the line passing through points A(-2,3) and…

Q: the line through the points p and q is formed with "p + λ(q − p)." Why is the direction given by q-p…

A: The expression "p + λ(q - p)" represents a parametric equation for a line passing through points P…