If (x1, yı) and (x2, y2) are distinct points in the plane, show that y 1 1 =0 X1 x2 y2 is the equation of the line through (x1, yı) and (x2, y2). Use this result to develop a test for collinearity of three yı 1 points.

Q: Line segment t and line segment r are parallel. Both line segments are reflected across the y-axis…

A: We have to find the distance between line segments t' and r'

Q: find the y-intercept of the line that passes through (1,2,-3) and is parallel to the wing 1/3(x-4)=…

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Q: XIV. Give equation of straight line through point (1,3,-2) perpendicular to z = Зх-2y +4.

A: Given z=3x−2y+4 and point is x0,y0,z0=1,3,−2 We have to find the equation of straight line through…

Q: Determine the scaler equation of the plane with × -intercept=2, y intercept=-1 and z intercept=3

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Q: Find the intersection of the line and plane: 3z (2x + y) = -5, P = ( r(t) = (3,-1,0) + t (-3, -2,…

A: Given line : r(t)= (3,-1,0)+t(-3,-2,-1) Given plane : 3z-(2x+y)=-5                       2x+y-3z-5=0…