Home
Class 12
MATHS
Consider the line vecr=(-3veci+5vecj-6...

Consider the line
`vecr=(-3veci+5vecj-6veck)+lamda(2veci+vecj+2veck)`
(i)Write a point on the line.
(ii)Find the equation of a plane passing through the point obtained in part (i) and perpendicular to the given line.
(iii)Find a point on the line which is 3 units way from the point obtained in part (i).

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MAXIMUM PUBLICATION|Exercise EXAMPLE|119 Videos
  • PROBABILITY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|144 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the line passing through the points (1,3) and (5,6).

Find the equation of the line passing through the points (3,-2) and (-1,4).

Find the equation of the line passing through the point (2,1,0) and (3,2,-1)

Find the equation of a line L passing through the points (-1,0,2) and (2,1,3).

Find the equation of the line passing through point (3,8) and perpendicular to the line x+3y-7=0

Find the equation of the line passing through the two points (1,-1) and (3,5).

Find the Cartesian equation of the plane passing through the point (1,2,-3) perpendicular to the vector2i-j+2k .

Find the equation of the line passing through the point (-3,5) and perpendicular to the line through the points (2,5) and (-3,6).

Consider the line 4x-3y+12=0 Find the equation of the line passing through the point (1,2) and parallel to the given line.

Find the slope of the lines passing through the points (0,-2) and (4,3)

MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Let veca=veci+vecj+veck,vecb=2veci+mvecj+3veck if veca is perpendic...

    Text Solution

    |

  2. Let veca=veci+vecj+veck,vecb=2veci+mvecj+3veck Find a vector vecc pe...

    Text Solution

    |

  3. Consider the line vecr=(-3veci+5vecj-6veck)+lamda(2veci+vecj+2veck) ...

    Text Solution

    |

  4. A manufacture company makes two models A and B of a product. Each piec...

    Text Solution

    |

  5. Let A=[[1,2,3],[3,1,2]] and B=[[-3,1,0],[1,3,-2]] Which of the follo...

    Text Solution

    |

  6. Let A=[[1,2,3],[3,1,2]] Find 3A

    Text Solution

    |

  7. Let A=[[1,2,3],[3,1,2]] and B=[[-3,1,0],[1,3,-2]] Evaluate 3A-B

    Text Solution

    |

  8. If y=sin^-1x,Find dy/dx

    Text Solution

    |

  9. If y=sin^-1x,then show that (1-x^2)(d^2y)/dx^2-xdy/dx=0

    Text Solution

    |

  10. Which of the following is the solution of the differential equation dy...

    Text Solution

    |

  11. From the differential equation representing the family of curves y=a...

    Text Solution

    |

  12. Using properties of determinants prove the following. abs[[b+c,a,...

    Text Solution

    |

  13. Write a function which is not continuous at x=0 and justify your ans...

    Text Solution

    |

  14. Check the continuity of the function f(x)={(x,+,2,if,x,<,0),(-x,+,2,...

    Text Solution

    |

  15. Consider the arrow diagram of the functions f and g. Write the fu...

    Text Solution

    |

  16. If alpha,beta,gamma are the direction angles of a vector, then which...

    Text Solution

    |

  17. Find the direction cosines of the line passing through the points (2...

    Text Solution

    |

  18. If tan^-1x=pi/10,then the value of cot^-1x is

    Text Solution

    |

  19. Find the value of sin(2tan^-1frac(2)(3))+cos(tan^-1sqrt3)

    Text Solution

    |

  20. Let A={-1,0,1} Give reason why the operation defined by aastb=a/b ...

    Text Solution

    |