Home
Class 12
MATHS
A vector vecr has length 14 and directio...

A vector `vecr` has length 14 and direction numbers <2,6,-3>. Find the direction cosines and components of `vecr`.

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos
  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos
  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

Similar Questions

Explore conceptually related problems

What are the direction cosines ?

Find the direction cosines of x, y and z-axis.

Can be the direction cosines of a line?

Find the direction cosines of the vectors: hatk

A vector vec r has length 21 and its direction ratios are proportional to 2,-3,6. Find the direction cosines and components of vec r , is given that vec r Makes an acute angle with x-axis

If a line has direction cosines , then find the direction ratios.

Direction cosines of x-axis are

Find the direction cosines of the vectors: 3hati+4hatk

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. If a line makes angles 90^(@),60^(@) and 30^(@) with the positive dire...

    Text Solution

    |

  2. A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find the ...

    Text Solution

    |

  3. A vector vecr has length 14 and direction numbers <2,6,-3>. Find the d...

    Text Solution

    |

  4. A vector vecv is inclined at equal angles to the positive directions o...

    Text Solution

    |

  5. Show that the line joining the mid points of two sides of a triangle i...

    Text Solution

    |

  6. The Cartesian equations of a line are (x-5)/3 = (y+4)/7 =(z-6)/2. Ve...

    Text Solution

    |

  7. The Cartesian equation of a line is (x+3)/2 = (y-5)/4 = (z+6)/2. Find...

    Text Solution

    |

  8. A line passes through the point with position vector 2hati-hatj+4hatk...

    Text Solution

    |

  9. Find the vector equation for the line through the points A(3,4,-7) and...

    Text Solution

    |

  10. The cartesian equation of a line is 6x - 2 = 3y + 1 = 2z - 2. Find :(a...

    Text Solution

    |

  11. Find the equations of a line through A(1,-1,0) and parallel to the lin...

    Text Solution

    |

  12. The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices ...

    Text Solution

    |

  13. Show that the two lines (x-5)/4=(y-7)/4=(z+3)/-5 and (x-8)/7=(y-4)/1=(...

    Text Solution

    |

  14. Show that the lines : (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6...

    Text Solution

    |

  15. Prove that the line through A(0,-1,-1) and B(4,5,1) intersects the lin...

    Text Solution

    |

  16. Show by direction numbers that the points (-2,4,7),(3,-6,-8) and (1,-2...

    Text Solution

    |

  17. Find the equation of the line passing through the points A(-2,4,7), B(...

    Text Solution

    |

  18. Evaluate int (2x+5)dx/(x^2+4x+5)

    Text Solution

    |

  19. Find the point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance of 3s...

    Text Solution

    |

  20. Find the angle between the pairs of line with direction ratios lt5,-...

    Text Solution

    |