Home
Class 12
MATHS
If l, m, n are the direction consines of...

If `l`, m, n are the direction consines of a line, then

A

`l^(2)+m^(2)+n^(2)=1`

B

`l^(2)+m^(2)+n^(2)=0`

C

`l+m+n=1`

D

`l+m+n=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Critical Thinking|40 Videos
  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Competitive Thinking|37 Videos
  • PROBABILITY DISTRIBUTION

    TARGET PUBLICATION|Exercise Evaluation test|5 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

Similar Questions

Explore conceptually related problems

If (l,m,n) are the direction cosines of a line then l^(2)+m^(2)+n^(2)=

If (l,m,n) are the direction cosines of a line then cos^(2)alpha+cos^(2)beta+cos^(2)gamma=

If (1)/(sqrt(2)),(1)/(2) , n are the direction consines of a line, then n =

If l, m, n are direction cosines of a line, then the maximum value of lm+mn+nl is

If l,m,n are the direction cosines of a half line op then the maximum value of l.m.n is

If l, m, n are direction cosines of a line then l hat(i) + m hat(j) + n hat(k) is________

If l_(1), m_(1), n_(1) and l_(2), m_(2), n_(2) are the direction cosines of two lines and l , m, n are the direction cosines of a line perpendicular to the given two lines, then

If l,m,n are direction cosines of a line , then vector li +mj+nk is a

The following question consist of two statements, one labelled as the 'Assertion (A)' and the other as 'Reason( R)'. You are to axamine these two statements carefully and select the answer. Assertion (A) : If lt l, m, n gt are direction cosines of a line, there can be a line whose direction cosines are (sqrt((l^2+m^2)/2),sqrt((m^2+n^2)/2),sqrt((n^2+l^2)/2),) . Reason(R) : The sum of direction cosines of a line is unity.