Determine whether the planes are parallel, perpendicular or neither. 4x − 3y + 2z = 5, x + 6y + 7z = 3

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06-08-2017
Mathematics

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Determine whether the planes are parallel, perpendicular or neither. 4x − 3y + 2z = 5, x + 6y + 7z = 3

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ghanami ghanami · Answer 1 · 2017-08-06T08:47:45+02:00

ghanami ghanami

06-08-2017

hello :
4x − 3y + 2z = 5 ... (P)
x + 6y + 7z = 3 ..... (Q)
the perpendicular vector to the (P) is : v(4,-3,2)
the perpendicular vector to the (Q) is : l(1,6,7)
v ⊥ l because : (4)(1)+(-3)(6)+(2)(7= =0
so : (P) ⊥ (Q)

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