Home
Class 12
MATHS
Find the equation of the line in vector ...

Find the equation of the line in vector and in cartesian form that passes through the point with position vector '2 hati-hatj+4 hatk' and is in the direction 'hati+2 hatj-hatk'.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|114 Videos

  • VECTOR ALGEBRA

    V PUBLICATION|Exercise QUESTION BANK|117 Videos

Similar Questions

Explore conceptually related problems

Find the projection of the vector veca=2 hati+3 hatj+2 hatk on the vector vecb=hati+2 hatj+hatk .

Show that the points with position vectors 2hati+6hatj+3hatk,hati+2hatj+7hatk and 3hati+10hatj-hatk are collinear.

Show that the points with position vectors '2 hati+6 hatj+3 hatk, hati+2 hatj+7 hatk' and '3 hati+10 hatj-hatk' are collinear.

A plane passes through the point (0,1,1) and has normal vector hati+hatj+hatk . Its equation is

Find the vector and cartesian equations of the plane that passes through the point (1, 0, -2) and normal to the plane is hati+hatj-hatk

Find the vector and cartesian equations of the plane that passes through the point (1, 4, 6) and normal to the plane is hati-2hatj+hatk

Show that the vectors 2 hati-3 hatj+4 hatk and -4 hati + 6 hatj-8 hatk are collinear.

The direction cosines of the vector hati-5hatj+8hatk are

A line passes through the point (3,-2,5) and parallel to the vector hati+2hatj+hatk What is the vector equation of the line?

Find the direction cosines of the vector 2hati+2hatj-hatk

V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Show that the line through the points (4, 7, 8), (2, 3, 4)is parallel...

    Text Solution

    |

  2. The equation of the line which passes through the point (1,2,3) and pa...

    Text Solution

    |

  3. Find the equation of the line in vector and in cartesian form that pas...

    Text Solution

    |

  4. Find the Cartesian equation of the line with passes through the point ...

    Text Solution

    |

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

    Text Solution

    |

  6. Find the Cartesian equation of the line passing through origin and (5,...

    Text Solution

    |

  7. Find the vector and the cartesian equations of the lines that passes t...

    Text Solution

    |

  8. Find the angle between the following pairs of lines: i) vecr=2 hati-5...

    Text Solution

    |

  9. Find the angles between the lines (x-2)/2=(y-1)/5=(z+3)/-3 and (x+...

    Text Solution

    |

  10. Find the values of p so that the lines (1-x)/3 = (7y-14)/(2p) = (z-3)/...

    Text Solution

    |

  11. Show that the lines (x-5)/7=(y+2)/(-5)=z/1 and x/1=y/2=z/3 are perpend...

    Text Solution

    |

  12. Find the shortest distance between the skew lines ⃗ r = ( ⃗ i + 2 ⃗ j...

    Text Solution

    |

  13. Find the shortest distance between the lines: (x+1)/7=(y+1)/(-6)=(z+1)...

    Text Solution

    |

  14. Find the shortest distance between the lines whose vector equations ar...

    Text Solution

    |

  15. Find the shortest distance between the lines whose vector equations a...

    Text Solution

    |

  16. Find the vector equation of the plane which is at a distance of 6/(sqr...

    Text Solution

    |

  17. Find the direction cosines of the unit vector perpendicular to the pla...

    Text Solution

    |

  18. Find the distance of the plane 2x - 3y + 4z - 6 = 0 from the origin.

    Text Solution

    |

  19. Find the coordinates of the foot of the perpendicular drawn from the ...

    Text Solution

    |

  20. Find the vector and cartesian equations of the plane which passes thro...

    Text Solution

    |