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Vectors Help!

A photo of caveman caveman
Hi, I am having difficulties with a vectors problem.

A normal to the plane 4x-2y+5z-9=0 passes through the origin. At what point does this normal intersect the plane?

If someone could please help that would be great. :)
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A photo of caveman caveman
Bump
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A photo of Fma Fma
at (4/5, -2/5, 1) ??
is this correct...?
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A photo of caveman caveman

@Fma wrote
at (4/5, -2/5, 1) ??
is this correct...?


Yes... how do you do it? :D
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A photo of g93 g93
Scalar Equation:

4x-2y+5z-9=0

Parametric Equations:

x=4t
y=-2t
z=5t

Sub parametric equations into scalar equation, solve for t:

4(4t)-2(-2t)+5(5t)-9=0
16t+4t+25t-9=0
45t=9
t=1/5

Sub t back into parametric equations:

x=4(1/5)
x=4/5

y=-2(1/5)
y=-2/5

z=5(1/5)
z=1

Therefore the normal intersects the plane at (4/5,-2/5,1)
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A photo of caveman caveman
Thanks g93! Your a lifesaver.
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A photo of Super Super
Oh god. This is the reason I'm not taking Calc & Vectors (during day-school).
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A photo of g93 g93

@Super wrote
Oh god. This is the reason I'm not taking Calc & Vectors (during day-school).


This is nothing.
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A photo of Fma Fma

@caveman wrote

@Fma wrote
at (4/5, -2/5, 1) ??
is this correct...?


Yes... how do you do it? :D



o...sorry for not posting the solution
i was busy in studying for my vector exam :D
(our school has the Vector Exam as our I.S.P.)
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