Home
Class 12
MATHS
Find the distance of the point (-1,-5,-1...

Find the distance of the point `(-1,-5,-10)` from the point of intersection of the line ` vec r=2 hat i- hat j+2 hat k+lambda(3 hat i+4 hat j+2 hat k)` and the plane ` vec rdot( hat i- hat j+ hat k)=5.`

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

The distance of the point (-1, -5, -10) from the point of intersection of the line vec r=2 hat i- hat j+2 hat k+lambda(3 hat i+4 hat j+12 hat k) and the plane vec rdot(( hat i- hat j+ hat k)=5 is a. 9 b. 17 c. 13 d. none of these

Find the distance of the point (-1,-5,-10), from the point of intersection of the line vec r=(2hat i-hat j+2k)+lambda(3hat i+4hat j+2hat k) and the plane vec r.(hat i-hat j+hat k)=5

Find the distance of the point (-1,-5,-10) from the point of intersection of line vec r=2hat i-hat j+2hat k+lambda(3hat i+4hat j+2hat k) and the plane vec r*(hat i-hat j+hat k)=5

find the distance between (-1,-5,-10) from the point of intersection of the line vec r=2hat i-hat j+2hat k+lambda(3hat i+4hat j+2hat k) and the plane vec r*(hat i-hat j+hat k)=5

Find the distance of the point with position vector -hat i-5 hat j-10 hat k from the point of intersection of the line vec r=(2 hat i- hat j+2 hat k)+lambda(3 hat i+4 hat j+12 hat k) with the plane vec rdot(( hat i- hat j+ hat k)=5.

Find the angle between the line vec r=(2hat i-hat j+3hat k)+lambda(3hat i-hat j+2hat k) and the plane vec r*(hat i+hat j+hat k)=3

Find the angle between the line vec r=hat i+2hat j-hat k+lambda(hat i-hat j+hat k) and the plane vec r*(2hat i-hat j+hat k)=4

Find the point of intersection of the line : vec(r) = (hat(i) + 2 hat(j) + 3 hat(k) ) + lambda (2 hat(i) + hat(j) + 2 hat(k)) and the plane vec(r). (2 hat(i) - 6 hat(j) + 3 hat(k) ) + 5 = 0.

Find the angle between the lines vec r*(hat i+2hat j-hat k)+lambda(hat i-hat j+hat k) and the plane vec r*(2hat i-hat j+hat k)=4

The line vec r= hat i+lambda(2 hat i-m hat j-3 hat k) is parallel to the plane vec rdot((\ m hat i+3 hat j+ hat k)=4 . Find mdot

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, ...

    Text Solution

    |

  2. AB is a diameter of a circle and C is any point on the circumference o...

    Text Solution

    |

  3. Find the distance of the point (-1,-5,-10) from the point of intersect...

    Text Solution

    |

  4. Let * R*Rvec given by (a , b) vec (a+4b^2) is a binary operation. C...

    Text Solution

    |

  5. The elements a(i j) of a 3xx3 matrix are given by a(i j)=1/2|-3i+j|dot...

    Text Solution

    |

  6. Write the principal value of tan^(-1)[sin(-pi/2)]

    Text Solution

    |

  7. If (2x4)(x-8)=0 , find the positive value of x

    Text Solution

    |

  8. Write the value of |[2, 7, 65],[ 3, 8, 75],[ 5, 9, 86]|

    Text Solution

    |

  9. Find int(sin^6x)/(cos^8x)dxdot

    Text Solution

    |

  10. Evaluate: int(tan^(-1)x)/(1+x^2)dx

    Text Solution

    |

  11. If | vec a|=8,| vec b|=3 and | vec a x vec b|=12 , find the angle betw...

    Text Solution

    |

  12. Find the angle between x-axis and the vector hat i+ hat j+ hat k

    Text Solution

    |

  13. Find the vector vec p which is perpendicular to both vecalpha=4 hat ...

    Text Solution

    |

  14. Find the unit vector perpendicular to plane ABC where the position vec...

    Text Solution

    |

  15. Solve the differential equation x(dy)/(dx)+y=xcosx+sinx , given y(pi/2...

    Text Solution

    |

  16. Two schools, P and Q, want to award their selected students for the...

    Text Solution

    |

  17. Using properties of determinants, prove the following : |[b+c, a ,a]...

    Text Solution

    |

  18. Let f,g: R-R be two functions defined as f(x)=|x|+x and g(x)=|x|-x , f...

    Text Solution

    |

  19. Write the equation of the straight line through the point (alpha,beta,...

    Text Solution

    |

  20. If y=tan^(-1)(a/x)+logsqrt((x-a)/(x+a)) , Prove that (dy)/(dx)=(2a^3)/...

    Text Solution

    |