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

Find the vector equation of the line joining `(2,1,3)` and `(4,-2,5)`.

Text Solution

Verified by Experts

`vec r(2vec i+vec j+3vec k)+ λ(2vec i-3 vec j+2vec k)`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPER 8

    MODERN PUBLICATION|Exercise EXERCISE|40 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|40 Videos

Similar Questions

Explore conceptually related problems

Find the equation of lines joining the points. (2,1,3) and (4,-2,5).

Find the equation of the line joining (2,3) and (-1,2) using determinants.

Find the projection of the line segment joining (1,2,3) and (2,3,4) on a straight line having d.r.s langle2,1,3rangle .

Find the direction cosines of the line segment joining (3,6,1) and (4,-1,5).

Find the equation of lines joining the points. (4,-6,1) and (0,3,-1)

Find the equation of the sphere on the join of (2,3,5) and (4,9,-3) as ends of diameter.

MODERN PUBLICATION-TEST PAPER 9-EXERCISE
  1. Write the order and degree of e^(dy/dx) =x^2.

    Text Solution

    |

  2. In each of the problems given below, find the work done by a force vec...

    Text Solution

    |

  3. Find the vector equation of the line joining (2,1,3) and (4,-2,5).

    Text Solution

    |

  4. Test whether the relations are reflexive, symmetric or transitive on t...

    Text Solution

    |

  5. Let A=N xx N and let* be a binary operation on A defined by (a, b) * (...

    Text Solution

    |

  6. A factory uses three different respurce for the manufacture of two dif...

    Text Solution

    |

  7. Let A={1,2,3,...,9) and R be the relation on A xx A defined by (a, b) ...

    Text Solution

    |

  8. If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then veri...

    Text Solution

    |

  9. Prove that the following. [[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]]=(b-c)(c-a...

    Text Solution

    |

  10. If A=[{:(-1,3,5),(1,-3,-5),(-1,3,5):}], then find A^(3)-A^(2).

    Text Solution

    |

  11. Prove that [[b^2c^2, bc,b+c],[c^2a^2,ca,c+a],[a^2b^2,ab,a+b]] = 0

    Text Solution

    |

  12. Find "a" and "b" such that the function f(x)={3ax+b, if x>1 11 if x=1 ...

    Text Solution

    |

  13. If y= tan^-1 x then prove that (1+x^2) y(2) + 2xy(1) =0. Differentiate...

    Text Solution

    |

  14. Find the point (S) on the curve x=(3at)/(1+t^2), y=(3at^2)/(1+t^2) whe...

    Text Solution

    |

  15. Find the intervals in which the function y=(lnx)/(x) is increasing and...

    Text Solution

    |

  16. Evaluate int (x+1)dx/sqrt(x^2+2x-3))

    Text Solution

    |

  17. Evaluate: int(0)^(2π) dx/(1+e^sin x).

    Text Solution

    |

  18. Solve: (1+x^2)dy/dx+2xy-x^3=0

    Text Solution

    |

  19. If the sum of two unit vectors is a unit vectors find the magnitude of...

    Text Solution

    |

  20. Prove by vector method that in аny ∆ АВС. а=Ь cos С +с cos В.

    Text Solution

    |