Line

Line p passing through A[-10, 6] and has direction vector v=(3, 2). Is point B[7, 30] on the line p?

Result




Solution:

x=−10+3t y=6+2t  t1=7+103=5.66666666667 t2=30−62=12  t1≠t2x = -10 +3t \ \\ y = 6 +2t \ \\ \ \\ t_1 = \dfrac{ 7 +10 } { 3} = 5.66666666667 \ \\ t_2 = \dfrac{ 30 -6 } { 2} = 12 \ \\ \ \\ t_1 \ne t_2

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For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.
Two vectors given by its magnitudes and by included angle can be added by our vector sum calculator.

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