Vector Algebra (line perpendicular to plane)

naspek
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Homework Statement



Find the parametric equations for the line which passes through the point (3,5,7)
and parallel to the vector <2,6,8>. Is the line perpendicular to the plane 5x + 6y +7z = 10?


Homework Equations



line equation, r = Ro + tV

The Attempt at a Solution



line equation, r = Ro + tV
-------------> = <3,5,7> + t<2,6,8>

hence, x = 3 + 2t ; y = 5 + 6t ; z = 7 + 8t

the problem is.. how am i going to prove that the line perpendicular
to the plane 5x + 6y +7z = 10 or not..?
 
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start by finding a vector perpindicular to the plane & one parallel to the line...
 

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