Home
Class 11
MATHS
Show that the condition that tha concurr...

Show that the condition that tha concurrent lines with direction cosines `(l_(1).m_(1),n_(1)),(l_(2),m_(2),n_(2))and(l_(3),m_(3),n_(3))` are coplanar is `l_(1)(m_(2)n_(3)-m_(3)n_(2))+m_(1)(n_(2)l_(3)-n_(3)l_(2))+n_(1)(l_(2)m_(3)-l_(3)n_(2))=0`

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise EXERCISE - I|4 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise EXERCISE - II|18 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise EXERCISE - 6 (LONG ANSWERQUESTIONS)|6 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED)) (Integer Type Questions)|5 Videos

  • DIRECTION COSINES AND RATIOS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

If (l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2)) are d.c's of two lines then find the value of (l_(1)m_(2)-l_(2)m_(1))^(2)+(m_(1)n_(2)-n_(1)m_(2))^(2)+(n_(1)l_(2)-n_(2)l_(1))^(2)+(l_(1)l_(2)+m_(1)m_(2)+n_(1)n_(2))^(2)

Find the direction ratios of the line bisecting the angles between the lines whose direction cosines are l_(1), m_(1), n_(1) and l_(2), m_(2), n_(2) and the angle between the lines is theta .

If bara and barb two non collinear vectors then the points l_(1)bara+m_(1)barb, l_(2)bara+m_(2)barb, l_(3)bara+m_(3)barb are collinear if

If (l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2)) are d.c's of two lines whose angle between them is 30^(@) , then d.c's of a line perpendicular to both these lines are k(m_(1)n_(2)-m_(2)n_(1),n_(1)l_(2)-n_(2)l_(1),l_(1)m_(2)-l_(2)m_(1)) , k =

Carry out the following divisions -152l^(4)m^(3)n^(2) by 19l^(2) m^(2)n^(2)

The acute angle between the two lines whose direction ratios are given by l+m-n=0 " and " l^(2)+m^(2)-n^(2)=0 is

A straight line L with direction cosines l, m, n is parallel to 3x-4y+2z+8=0 where

Find the direction cosines of the two lines which are connected by the relations l-5m+3n=0,7l^(2)+5m^(2)-3n^(2)=0