Find a set of parametric equations of the line with the given characteristics. The line passes through the point (−6, −8, 2) and is perpendicular to the xz-plane.

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Find a set of parametric equations of the line with the given characteristics. The line passes through the point  (−6, −8, 2)   and is perpendicular to the xz-plane.

inenge3y · Accepted Answer

Step 1 Concept Used: Set of parametric equations passing through the point (x0, y0, z0) and direction vector ⟨a, b, c⟩ is given by: x=x0+at, y=y0+bt, z=z0+ct Given point (x0, y0, z0)=(−6, −8, 2) Substitute this point in the formula: x=−6+at, y=−8+bt, z=2+ct To find ⟨a, b, c⟩ we have plane y=0 Hence, the line perpendicular to y=0 plane has direction vector ⟨0, 1, 0⟩ Hence, substitute ⟨a, b, c⟩=⟨0, 1, 0⟩ x=−6+0t, y=−8+1t, z=2+0t ⇒x=−6, y=−8+t, z=2

Find a set of parametric equations of the line with

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