Find parametric equations and symmetric equations for the line. The line through the points (1,3,2) and (-4,3,0)

mxty42ued

mxty42ued

Answered question

2022-11-11

Find parametric equations and symmetric equations for the line. The line through the points (1,3,2) and (-4,3,0)

Answer & Explanation

postotnojeyf

postotnojeyf

Beginner2022-11-12Added 16 answers

Notice that the line through the points (1,3,2) and (-4,3,0) is parallel to the vector v = 4 1 , 3 3 , 0 2 = 5 , 0 , 2 . [5pt] Therefore, direction numbers are a=-5, b=0, c=-2. [5pt] Use the (1,3,2) as point P 0 and get the parametric equations:
x = 1 5 t , y = 3 + 0 t , z = 2 2 t x = 1 5 t , y = 3 , z = 2 2 t
Finally, symmetric equations are:
x 1 5 = z 2 2 y = 3
Result:
Parametric equations: x=1-5t, y=3, z=2-2t [5pt] Symmetric equations:
x 1 5 = z 2 2 y = 3

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