Home
Class 12
MATHS
Find the vector equation of the plane pa...

Find the vector equation of the plane passing through three points with position vectors ` hat i+ hat j-2hatk, 2hat i-\ hat j+ hat k` and ` hat i+2 hat j+ hat kdot` Also find the coordinates of the point of intersection of this plane and the line ` vec r=3 hat i-\ hat j- hat k+lambda(2 hat i-\ 2 hat j+ hat k)dot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

Find the vector equation of the plane passing through the points having position vectors hat i+ hat j-2 hat k ,2 i - hat j+ hat ka n d hat i+2 hat j+ hat kdot

Find the vector equation of the plane passing through the points 3 hat i+4 hat j+2 hat k ,2 hat i-2 hat j- hat ka n d7 hat i+6 hat kdot

Find the vector equation of a plane passing through a point having position vector 2 hat i- hat j+ hat k and perpendicular to the vector 4 hat i+2 hat j-3 hat kdot

Find the angle between the vectors hat i-2 hat j+3 hat k and 3 hat i-2 hat j+ hat kdot

Find the distance between the points A and B with position vectors hat i- hat j and 2 hat i+ hat j+2 hat kdot

Find the direction cosines of the following vectors: 2 hat i+2 hat j- hat k 6 hat i-2 hat j-3 hat k 3 hat i-4 hat k

Find the direction cosines of the following vectors: 2 hat i+2 hat j- hat k 6 hat i-2 hat j-3 hat k 3 hat i-4 hat k

Find the direction cosines of the following vectors: 2 hat i+2 hat j- hat k 6 hat i-2 hat j-3 hat k 3 hat i-4 hat k

Find the direction cosines of the following vectors: 2 hat i+2 hat j- hat k 6 hat i-2 hat j-3 hat k 3 hat i-4 hat k

Find the equation of the plane passing through the intersection of the planes vec r .(2 hat i+ hat j+3 hat k)=7, vec r.(2 hat i+5 hat j+3 hat k)=9 the point (2,1,3)dot

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find | vec x| , if for a unit vector vec a ,\ ( vec x- vec a)*( vec ...

    Text Solution

    |

  2. Find the length of the perpendicular drawn from the origin to the pl...

    Text Solution

    |

  3. Find the vector equation of the plane passing through three points w...

    Text Solution

    |

  4. Write the principal value of tan^(-1)sqrt(3)-cot^(-1)(-sqrt(3)) .

    Text Solution

    |

  5. Write the value of tan^(-1)[2sin(2cos^(-1)(sqrt(3)/2))] .

    Text Solution

    |

  6. For what value of x is the matrix A=[(0,1,-2),(1,0,3),(x,3,0)] a skew-...

    Text Solution

    |

  7. Using matrices, solve the following system of linear equations: x - ...

    Text Solution

    |

  8. Write the differential equation representing the family of curves y...

    Text Solution

    |

  9. If A(ij) is the cofactor of the element a(ij) of the determinant |(2,-...

    Text Solution

    |

  10. P and Q are two points with position vectors 3 vec a-2 vec b and v...

    Text Solution

    |

  11. Show that the differential equation 2y e^(x/y)\ dx+(y-2x e^(x/ y) ) dy...

    Text Solution

    |

  12. Sketch the graph of y=|x+3| and evaluate the area under the curve ...

    Text Solution

    |

  13. Evaluate: int(x^2+1)/((x-1)^2(x+3))\ dx

    Text Solution

    |

  14. Evaluate: int(xsin^(-1)x)/(sqrt(1-x^2))\ dx

    Text Solution

    |

  15. Using differentials, find the approximate value of f(2. 01), where ...

    Text Solution

    |

  16. Find the equation of the tangent to the curve y=sqrt(4x-2)\ which ...

    Text Solution

    |

  17. Prove the following: tan^(-1)sqrt(x)=1/2cos^(-1)((1-x)/(1+x)),\ x\ \ ...

    Text Solution

    |

  18. Prove the following: cos^(-1)((12)/(13))+sin^(-1)(3/5)=sin^(-1)((56)/...

    Text Solution

    |

  19. Often it is taken that a truthful person commands, more respect in ...

    Text Solution

    |

  20. integrate thisint ( x^2+1)/(x^2-5x+6)dx

    Text Solution

    |