A set of scalar parametric equations for the line that passes through points p(3, 4, 1) and q(4, -2, -1) : x = 3 + 4t, y = 4 - 2t and z = 1 - t
In this question, we have been given two points p(3, 4, 1) and q(4, -2, -1).
We need to find a set of scalar parametric equations for the line that passes through points p and q.
We know that a set of scalar parametric equations is,
x = x0 + at, y = y0 + bt, z = z0 + ct
Let (x0, y0, z0) = (3, 4, 1)
and (a, b, c) = (4, -2, -1).
Therefore, scalar parametric equations as:
x = 3 + 4t,
y = 4 - 2t
and z = 1 - t
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