Home
Class 12
MATHS
Find the angles at which the following v...

Find the angles at which the following vectors are inclined to each of the coordinates axes:
`hati-hatj+hatk`.

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

Find the angles at which the following vectors are inclined to each of the coordinates axes: hatj-hatk

Find the angles at which the following vectors are inclined to each of the coordinates axes: 4hati+8hatj+hatk .

Find the angle at which the vector vecv=2hati-6hatj+2hatk is inclined to each of the coordinate axes.

Show that the following vectors are coplanar : hati-hatj+hatk,6hati-hatk and 4hati+2hatj-3hatk .

Find the angles between each of the following pairs of lines: vecr=4hati-hatj+lambda(hati+2hatj-hatk) and vecr=hati-hatj+2hatk-mu(2hati+4hatj-4hatk)

Find the scalar product of the following pairs of vectors and the angle between them : hati+3hatj-8hatk and -3hati-5hatj+4hatk .

Show that the following vectors are coplanar : 2hati-hatj+hatk,hati-3hatj-5hatk,3hati-4hatj-4hatk .

Find the angle between the vectors : hati-hatj and hatj-hatk .

Find the angle between the vectors hati-hatj and hatj-hatk .

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the direction cosines of the vectors: 3hati+4hatk

    Text Solution

    |

  2. Find the direction cosines of the vectors: hatk

    Text Solution

    |

  3. Find the angles at which the following vectors are inclined to each of...

    Text Solution

    |

  4. Find the angles at which the following vectors are inclined to each of...

    Text Solution

    |

  5. Find the angles at which the following vectors are inclined to each of...

    Text Solution

    |

  6. Find the angles at which the following vectors are inclined to each of...

    Text Solution

    |

  7. Can a vector have direction angles 45^@, 60^@ and 120^@?

    Text Solution

    |

  8. A line makes angles 45^@ and 60^@ with the positive direction of the a...

    Text Solution

    |

  9. If a line makes angles 90^(@),60^(@) and 30^(@) with the positive dire...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |