Home
Class 12
MATHS
If alpha,beta ,gamma are direction angle...

If `alpha,beta ,gamma` are direction angles of a line , then `cos 2alpha , cos 2beta + cos 2 gamma = `

Text Solution

Verified by Experts

The correct Answer is:
False
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (D. VERY SHORT ANSWER TYPE QUESTIONS )|25 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise NCERT-FILE (EXERCISE 11.1)|5 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (B. FILL IN THE BLANKS)|10 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise CHAPTER TEST 10|12 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta , gamma are direction-angles of a line, prove that (i) cos2alpha + cos 2 beta +cos2 gamma+ 1 = 0 . (ii) cos 2 alpha + cos 2 beta + cos 2 gamma = -1 .

If alpha, beta, gamma are direction angles of a line l, then prove that cos^(2)alpha+cos^(2)beta+cos^(2)gamma=1 . Hence, deduce that sin^(2) alpha + sin^(2) beta + sin^(2) gamma = 2 .

Statement 1: If cos alpha,cos beta, and cos gamma are the direction cosines of any line segment,then cos^(2)alpha+cos^(2)beta+cos^(2)gamma=1. Statement 2: If cos alpha,cos beta,and cos gamma are the direction cosines of any line segment,then cos2 alpha+cos2 beta+cos2 gamma=1

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

If alpha,beta, gamma are the direction angles of a vector and cos alpha=(14)/(15), cos beta=(1)/(3) , then cos gamma=

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

If alpha,beta,gamma are acute angle such that cos alpha=tan beta,cos beta=tan gamma and cos gamma=tan alpha then

If a line makes angles alpha, beta, gamma with the coordinate axes, prove that cos2alpha + cos 2beta + cos2gamma + 1 = 0 .