Home
Class 11
MATHS
Show that tha angles between the diagona...

Show that tha angles between the diagonals of a rectangular parallelopiped having sides a,b and c are `cos^(-1)((|alpha|)/(a^(2)+b^(2)+c^(2)))`, where `alpha=pma^(2)pmb^(2)pmc^(2)and|alpha|!=a^(2)+b^(2)+c^(2)`. Hence find the angle between the diagonals of a cube.

Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise EXERCISE - 6 (VERY SORT ANSWER QUESTIONS)|24 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise EXERCISE - 6 (VERY SHORT QUESTIONS)|11 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 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 the angles A,B,C of a triangle are in A.P and sides a,b,c are in G.P then a^2,b^2,c^2 are in

If a sec alpha+ b tan alpha= 1 and a^(2) sec^(2) alpha-b^(2) tan^(2) alpha=5 then 4a^(2)-9b^(2)=

If the edges of rectangular parllelopiped are 3,2,1 then the angle between two diagonals out of 4 diagonals id

If the line x Cos alpha+y Sin alpha=p touches x^(2)/a^(2)-y^(2)/b^(2)=1 then a^(2) Cos^(2)alpha-b^(2) Sin^(2)alpha=

If a line makes angles alpha,beta,lambda,delta with the 4 diagonals of a cube then sin^(2) alpha + sin^(2)beta+sin^(2)lambda+sin^(2)delta

If a line makes angles alpha, beta, lambda,delta with the four diagonals of a cube, then show that cos^(2) alpha+cos^(2) beta + cos^(2)lambda+cos^(2)delta=(4)/(3) .

AAKASH SERIES-DIRECTION COSINES & RATIOS-ADDITIONAL SOLVED EXAMPLES
  1. Show that tha angles between the diagonals of a rectangular parallelop...

    Text Solution

    |