Question

Find the direction consines of a line which makes equal angles with the coordinate axes.
___
class 12 ke hai -,-​

Answer 1

Let the direction cosines of the line make an angle a with each of the coordinate axes.

∴ l=cosa,m=cosa,n=cosa

We know l

2

+m

2

+n

2

=1

⇒ cos

2

α+cos

2

α+cos

2

α=1

⇒ 3cos

2

α=1

⇒ cos

2

α=

3

1

⇒ cosα=±

3

1

Thus, the direction cosines of the line which is equally inclined to the coordinate axes are ±

3

1

,±

3

1

and ±

3

sirf 4 branlist leftt jaldo

Answer 2

Answer:

=cosa,m=cosa,n=cosa

We know l

2

+m

2

+n

2

=1

⇒ cos

2

α+cos

2

α+cos

2

α=1

⇒ 3cos

2

α=1

⇒ cos

2

α=

3

1

⇒ cosα=±

3

1

Thus, the direction cosines of the line which is equally inclined to the coordinate axes are ±

3

1

,±

3

1

and ±

3

1

.

Step-by-step explanation:

Idhar corona me school hi bhul gye -,-