Home
Class 12
MATHS
If the direction angles of a line are al...

If the direction angles of a line are `alpha=30^@` and `beta=60^@`, find the other direction angle `gamma`

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

Find the direction cosines of the line which is perpendicular to the lines whose direction ratios are and .

How alpha and beta are related to each other ?

The projection of a line segment axes are 3,4,12.Find the length and direction cosines of the line.

If alpha,beta,gamma be direction angles of a line, what is the value of sin^2alpha+sin^2beta+sin^2gamma .

Two forces each of magnitude 5N are inclined to each other at 60^@ . Find the magnitude and their direction of their resultant.

Two forces of each magnitude 5N are inclined to each other at 60^@ .Find the magnitude and direction of their resultant.

Write the direction cosine of the line whose direction ratios are {1,2,3}.

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. If A is a singular matrix, then what is A(adjA)?

    Text Solution

    |

  2. Give example of a function which is increasing in (-oo,2) and (3,oo) a...

    Text Solution

    |

  3. If the direction angles of a line are alpha=30^@ and beta=60^@, find t...

    Text Solution

    |

  4. Give an example of a relation which is not a function.

    Text Solution

    |

  5. Write the integrating factor of the differential equation dy/dx(x+y+1)...

    Text Solution

    |

  6. tan{(1/2)sin^(-1)((2x)/(1+x^(2)))+1/2cos^(-1)((1-y^(2))/(1+y^(2)))}.

    Text Solution

    |

  7. What is the angle between vecaand vecb if abs(veca+vecb)=abs(veca-vecb...

    Text Solution

    |

  8. If M=[(1,1,1),(1,1,1),(1,1,1)],then what is M^50 ?

    Text Solution

    |

  9. Write the value x for which d/dxsin(sin^-1x)=1

    Text Solution

    |

  10. What is the value of int(-1)^(1)ln(frac[4-x][4+x])dx?

    Text Solution

    |

  11. Prove the following statements "cot"^(-1)9+"cosec"^(-1)sqrt(41)/(4)=...

    Text Solution

    |

  12. Show that if R is an equivalence relation on X then dom R=rngR =X.

    Text Solution

    |

  13. Solve graphically: Maximize Z=5x+6y subject to 2x+3yle6,x, yge0

    Text Solution

    |

  14. Solve sin^(-1)(1-x)-2sin^(-1)x=frac[pi][2]

    Text Solution

    |

  15. Let f = {(1,3), (2,4), (3,7)} and g = {(3,2), (4,3), (7,1)} determine ...

    Text Solution

    |

  16. Prove that abs[[b+c,c+a,a+b],[q+r,r+p,p+q],[y+z,z+x,x+y]]=2abs[[a,b,c]...

    Text Solution

    |

  17. If abs((a,b,a-b),(b,c,b-c),(2,1,0))=0 , then prove that a,b,c are in G...

    Text Solution

    |

  18. Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...

    Text Solution

    |

  19. Solve : [[7,6,x],[2,x,2],[x,3,7]] = 0

    Text Solution

    |

  20. Verify that [AB]^T = B^T A^T whereA=[[1,2,3],[3,-2,1]],B=[[1,2],[2,0],...

    Text Solution

    |