Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line through (4, −5, 2) and parallel to the line x + 5 = y 2 = z − 3

Step-by-step explanation:

From the given information, the symmetric equations for the line pass through(4, -5, 2) i.e () and are parallel to

The parallel vector to the line i + zj+k = ai + bj + ck

Hence, the equation for the line is :

x = 4 + t

y = -5 + 2t

z = 2 + t

Thus, x, y, z = ( 4+t, -5+2t, 2+t )

The symmetric equation can now be as follows:

∴

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40 minutes

step-by-step explanation:

add the time and multiply by 2