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lidiya [134]
3 years ago
5

The line l passes through the point P = (1,-1,1) and has direction vector d = [2,3,1]. Determine whether l and the plane 4x-y+5z

= 0 are parallel, perpendicular, or neither.
Mathematics
1 answer:
suter [353]3 years ago
3 0
Hello : 
the normal vector of the plane is : d' = [4,-1,5]...(vector  perpendicular to the plane)<span>
d </span><span>⊥ d' because : (4)(2)+(-1)(3)+(5)(1)=0
</span>the line is perpendicular to the plane .
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see the attached figure to better understand the problem

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