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

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Mathematics

4 July, 22:07

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

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Diego Mccullough · Answer 1

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)