Home
Class 12
MATHS
Find the angle between the straight line...

Find the angle between the straight line ` vecr=(2hati+3hatj+hatk)+k+t(hati-hatj+hatk) ` and the plane 2x-y+z=5

Text Solution

Verified by Experts

The correct Answer is:
` sin^(1)((2sqrt3)/(3)) `
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise EXERCISE-6.1|14 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise EXERCISE-6.2|10 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.9|25 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the straight line vecr=3hati-hatj+2hatk+t(2hati-hatj-2hatk) and the line joining the points (2, -1, 3) (-1, -2, 4).

Find the angle between the line vecr=(2hati-hatj+2hatk)+t(hati+hatj-hatk) and the plane 2x+y-2z=5 .

Find the angle between the line vecr=(hati+2hatj-hatk)+lamda(hati-hatj+hatk) and the plane ver.(2hati-hatj+hatk)=4

Find the angle between the line vecr=(2hati-hatj+2hatk)+t(hati+2hatj-2hatk) and the plane vecr*(6hati+3hatj+2hatk)=8 .

Find the angle between the line vecr=(2hati+2hatj+hatk)+lambda(2hati-3hatj+2hatk) and the plane vecr.(3hati-2hatj+5hatk)=4

Find the acute angle between the planes vecr(2hati-3hatj+5hatk)=1 and vecr(hati-hatj-hatk)=7 .

Find the coordinates of the points where the straight line vecr=(hati-2hatj-2hatk)+t(4hati+3hatj+2hatk) intersects the plane x-2y+3z+9=0 .

FULL MARKS-APPLICATIONS OF VECTOR ALGEBRA-Additional Questions Solved
  1. Find the angle between the straight line vecr=(2hati+3hatj+hatk)+k+t...

    Text Solution

    |

  2. The work done by the force vecF=ahati+hatj+hatk in moving the point...

    Text Solution

    |

  3. If the position vectors of three points A, B and Care respectively v...

    Text Solution

    |

  4. A force given by and 3veci+2vecj-4veck is applied at the point (1,-1...

    Text Solution

    |

  5. Show that the area of a parallelogram having diagonals 3veci+vecj-2v...

    Text Solution

    |

  6. If the edges  veca=-3veci+7vecj+5veck , vecb=-5veci+7vecj-3veck ,...

    Text Solution

    |

  7. If vecx.veca=0 , vecx.vecb=0 , vecx.vecc=0 and vecxnevec0 ...

    Text Solution

    |

  8. The volume of the parallelepiped whose edges are represented by -12 ha...

    Text Solution

    |

  9. Prove that |vecavecbvecc|=abc   if and only if veca , vecb , ...

    Text Solution

    |

  10. Show that the points (1, 3, 1), (1, 1,-1), (-1, 1, 1), (2,2, -1) are l...

    Text Solution

    |

  11. If veca=2veci+3vecj-5veck , vecb=-veci-vecj+2veck and vecc=4vec...

    Text Solution

    |

  12. If veca =3veci+2vecj-4veck , vecb =5veci-3vecj+6veck , vecc =5ve...

    Text Solution

    |

  13. If veca =2veci+3vecj-veck , vecb =2veci+5veck , vecc =vecj-3veck...

    Text Solution

    |

  14. Find the vector and cartesian equations of the straight line passing t...

    Text Solution

    |

  15. Find the vector and cartesian equations of the straight line passing t...

    Text Solution

    |

  16. Find the angle between the following lines vecr=3veci+2vecj-veck+t(v...

    Text Solution

    |

  17. Find the angle between the following lines (x-1)/(2)=(y+1)/(3)=(z-4)...

    Text Solution

    |

  18. Find the distance between the parallel lines vecr=(hati-hatj)+t(2hati-...

    Text Solution

    |

  19. Show that the lines vecr=(hati-hatj)+t(2hati+hatk) and vecr=(2hati-hat...

    Text Solution

    |

  20. Show that the lines (x-1)/(3)=(y-1)/(-1)=(z+1)/(0) and (x-4)/(2)=...

    Text Solution

    |

  21. find the shortest distance between the skew lines. vecr=(veci-vecj)+...

    Text Solution

    |