Question

The direction cosines of any normal to
the xz plane are​

Answer 1

(0,0,1)

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Answer 2

Answer:

The Answer for the question is (0,1,0)

these are the Direction Cosines of a Normal to the XZ plane.

Step-by-step explanation:

The XZ line which is Normal to the XZ plane, given in the question, will be parallel to the Y-axis and perpendicular to the X-Axis and Z-Axis.

Therefore Direction Cosines of this line are l, m,



Thus l = cos(alfa) , m= cos(beta) , n= cos(gama) )

Thus Alfa is angle between line and X-axis

Beta is angle between line amd y- axis

Gama is angle between line amd Z-axis

therefore Alfa=gama= 90°, and Beta= 0°

Thus l= cos90° = 0

m= cos0° = 1

n= cos90° = 0

therecore Direction Cosines of the line are (0, 1,0)