Home
Class 11
MATHS
If the direction ratios of a line are (3...

If the direction ratios of a line are (3,4,0) find its direction cosines and also the angles made with the coordinate axes.

Text Solution

Verified by Experts

The correct Answer is:
`((3)/(5),(4)/(5),0)cos^(-1)((3)/(5))cos^(-1)((4)/(5)),(pi)/(2)`
Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND RATIOS

    AAKASH SERIES|Exercise EXERCISE - 7.1 (SHORT ANSWER QUESTION)|11 Videos

  • DIRECTION COSINES AND RATIOS

    AAKASH SERIES|Exercise EXERCISE - 7.1 (LONG ANSWER QUESTION)|8 Videos

  • DIRECTION COSINES AND RATIOS

    AAKASH SERIES|Exercise ADVANCED ANALYTICAL SOLVED EXAMPLES|8 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|57 Videos

Similar Questions

Explore conceptually related problems

The direction ratios of a line are (-6,2,3) Find its direction cosines.

If (1,2,1), (1,-3,2) are the direction ratios of two lines and (l, m,n) are the direction cosines of a line perpendicular to the given lines, then l + m + n

If (2, 1, -1) and (1, -1, -1) are direction ratios of two lines, then the direction cosines of a line perpendicular to both the lines are

If (1,-2,-2) and (0,2,1) are direction ratios of two lines, then direction cosines of a line perpendicular to both the lines are

If (l_(1),m_(1),n_(1)) and (l_(2),m_(2),n_(2)) are the direction cosines of two lines find the direction cosines of the line which is perpendicular to both these lines.

Find the direction cosines of the vector hati+2hatj+3hatk .

Find the direction cosines of the normal to the plane x+2y+2z-4=0

AAKASH SERIES-DIRECTION COSINES AND RATIOS-EXERCISE - 7.1 (VERY SHORT ANSWER QUESTION)
  1. A ray makes angles pi//3, pi//3 with bar(OX) and bar(OY) respectively....

    Text Solution

    |

  2. A straight line is inclined to the axes of x and y at angles of 60^(@)...

    Text Solution

    |

  3. If alpha, beta, gamma are the angles made by a line with the positive ...

    Text Solution

    |

  4. If a line makes angles alpha,beta,lambda with the coordinate axes vec...

    Text Solution

    |

  5. Find the d.c's of a line that makes equal angles with the axes, and fi...

    Text Solution

    |

  6. Find the direction ratios of the line joining the points (3,4,0) and (...

    Text Solution

    |

  7. The direction ratios of a line are (-6,2,3) Find its direction cosines...

    Text Solution

    |

  8. If the direction ratios of a line are (3,4,0) find its direction cosin...

    Text Solution

    |

  9. If P(sqrt(3),1,2sqrt(3)) is a point in space, find direction cosines ...

    Text Solution

    |

  10. Find the direction cosines of the line joining the points (-4,1,7),(2,...

    Text Solution

    |

  11. If P(-2,4,-5) and Q(1,2,3) are two points. Find the direction cosines ...

    Text Solution

    |

  12. Find the conine of the angle between the lines whose direction cosines...

    Text Solution

    |

  13. Find the angle between the lines whose direction ratios are (1,1,2)(sq...

    Text Solution

    |

  14. Show that the lines with direction cosines ((12)/(13),(-3)/(13),(-4)/(...

    Text Solution

    |

  15. O is the origin, P(2,3,4) and Q(1,k,1) are points such that bar(OP)bot...

    Text Solution

    |

  16. Find 'x' if the angle between he lines with direction ratios (x,4,5) a...

    Text Solution

    |

  17. Show that the line through the points (1,-1,2), (3,4,-2) is perpendicu...

    Text Solution

    |

  18. Find the angle between bar(DC) and bar(AB) where A = (3,4,5), B = (4,6...

    Text Solution

    |

  19. Show that the lines bar(PQ) and bar(RS) are parallel where P,Q,R,S are...

    Text Solution

    |

  20. For what value of x the line joining A(4,1,2), B(5,x,0) is perpendicul...

    Text Solution

    |