Math miscellaneousEasy
Question
If a line makes an angle of
with the positive directions of each of x-axis and y-axis, then the angle that the line makes with the positive direction of the z-axis is
with the positive directions of each of x-axis and y-axis, then the angle that the line makes with the positive direction of the z-axis isOptions
A.

B.

C.

D.

Solution
I = cos
, m = cos 
we know l2 + m2 + n2 = 1
+ n2 = 1
⇒ n = 0
Hence angle with positive direction of z-axis is
.
, m = cos 
we know l2 + m2 + n2 = 1
+ n2 = 1⇒ n = 0
Hence angle with positive direction of z-axis is
.Create a free account to view solution
View Solution FreeMore Math miscellaneous Questions
Ifex2 (x - α)dx = 0, then...The angle between the lines 2x = 3y = - z and 6x = - y = - 4z is...dx is...The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. ...If the system of linear equations x + ky + 3z = 0 3x + ky - 2z = 0 2x + 4y - 3z = 0 has a non-zero solution (x, y, z), t...