Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 11, −7) and parallel to the line x = −1 + 3t, y = 6 − 2t, z = 3 + 6t r(t) = ⟨3t, 11−2t, −7+6t⟩ (x(t), y(t), z(t)) = 3t, 11−2t, −7+6t

The given line with equations

has tangent vector .

The line through the origin that is parallel to this line is simply . We then get the line that passes through (0, 11, -7) by translating this line, giving us

as required. In parametric form, this is

853.3

step-by-step explanation:

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step-by-step explanation: