Home
Class 12
MATHS
Consider a straight line through a fixed...

Consider a straight line through a fixed point with position vectors 2i-2j+3k and parallel to i-j+4k .
Write down the vector equation of the straight line.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|106 Videos

  • VECTOR ALGEBRA

    MAXIMUM PUBLICATION|Exercise EXAMPLE|107 Videos

Similar Questions

Explore conceptually related problems

Consider a straight line through a fixed point with position vectors 2i-2j+3k and parallel to i-j+4k . Show that the straight line is parallel to the plane barr.(i+5j+k)=5

Consider a straight line through a fixed point with position vectors 2i-2j+3k and parallel to i-j+4k . Find the distance between the line and plane barr.(i+5j+k)=5

Write the Cartesian equation of the straight line through the point (1,2,3) and along the vector 3i+j+2k .Write a general point on this straight line.

Find the projection of a vector i+3j+7k on the vector 7i-j+8k .

Write the Cartesian equation of the straight line through the point (1,2,3) and along the vector 3i+j+2k .Find the point of intersection of this straight line with the plane 2x+3y-z+2=0

Write the unit vector in direction of i+2j-3k .

Show that the points A, B and C with position vectors veca=3i-4j-4k,vecb=2i-j+k and vecc=i-3j-5k respectively form the vertices of a right angled triangle.

Find the direction cosine of the vector 2i+2j-k.

If the vector equation of a line is barr=i+j+k+mu(2i-3j-4k) , then the Cartesian equation of the line is

MAXIMUM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. Consider three points (6,-1,1), (5,1,2) and (1,-5,-4) on space. Find d...

    Text Solution

    |

  2. Consider three points (6,-1,1), (5,1,2) and (1,-5,-4) on space. Find a...

    Text Solution

    |

  3. Consider a straight line through a fixed point with position vectors 2...

    Text Solution

    |

  4. Consider a straight line through a fixed point with position vectors 2...

    Text Solution

    |

  5. Consider a straight line through a fixed point with position vectors 2...

    Text Solution

    |

  6. Consider the vector equation of two planes barr.(2i+j+k)=3,barr(i-j-...

    Text Solution

    |

  7. Consider the vector equation of two planes barr.(2i+j+k)=3,barr.(i-j-k...

    Text Solution

    |

  8. Distance of the point(0,0,1) from the plane x+y+z=3 a)1/sqrt3units b)2...

    Text Solution

    |

  9. Find the equation of the plane through the line of intersection of the...

    Text Solution

    |

  10. Consider a plane barr.(6i-3j-2k)+1=0 Find dc's perpendicular to the ...

    Text Solution

    |

  11. Consider a plane barr.(6i-3j-2k)+1=0 Find a vector of magnitude 14 u...

    Text Solution

    |

  12. Consider a plane barr.(6i-3j-2k)+1=0.Find the equation of a line paral...

    Text Solution

    |

  13. Consider the pair of lines whose equations are . (x-2)/2=(y-1)/5=(z+3)...

    Text Solution

    |

  14. Consider the pair of lines whose equations are . (x-2)/2=(y-1)/5=(z+3)...

    Text Solution

    |

  15. Consider the pair of lines whose equations are . (x-2)/2=(y-1)/5=(z+3)...

    Text Solution

    |

  16. Consider the pair of lines barr=3i+4j-2k+lambda(-i+2j+k)….L1, barr...

    Text Solution

    |

  17. Consider the pair of lines barr=3i+4j-2k+lambda(-i+2j+k)….L1, barr...

    Text Solution

    |

  18. Consider the pair of lines barr=3i+4j-2k+lambda(-i+2j+k)….L1, barr...

    Text Solution

    |

  19. Consider the points A(2,2,-1), B(3,4,2) and C(7,0,6) Are A,B and C col...

    Text Solution

    |

  20. Consider the points A(2,2,-1), B(3,4,2) and C(7,0,6).Find the vector a...

    Text Solution

    |