Q. 85.0( 1 Vote )

# A line makes an a

Answer :

Given that, the line makes angles

• 60° with the x-axis.

• 60° with the y-axis.

Let the angle made by the line with z-axis be α.

__Now, as per the relation between direction cosines of a line, l ^{2} + m^{2}+n^{2} = 1 where l,m,n are the direction cosines of a line from x-axis, y-axis and z-axis respectively.__

From the problem,

l = cos 60°

m = cos 60°

n = cos α

By using the formula,

l^{2} + m^{2}+n^{2} = 1

[As cos 60° value is ]

[As cos 45° ]

α = 45°

Therefore, the angle made by the line with z-axis is 45°

Rate this question :

State True or FalMathematics - Exemplar

Write the vector Mathematics - Board Papers

Write the ratio iRD Sharma - Volume 2

<span lang="EN-USRD Sharma - Volume 2

A line makes an aRD Sharma - Volume 2

Write the angle bRD Sharma - Volume 2