Home
Class 12
MATHS
Find the acute angle between the straigh...

Find the acute angle between the straight lines  ` (x-4)/(2)=(y)/(1)=(z+1)/(-2) ` and ` (x-1)/(4)=(y+1)/(-4)=(z-2)/(2) ` state whether they are parallel or perpendicular.

Text Solution

Verified by Experts

The correct Answer is:
` cos^(-1)(0)((pi)/(2)) `
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

The straight lines (x-3)/(2)=(y+5)/(4)=(z-1)/(-13)and(x+1)/(3)=(y-4)/(5)=(z+2)/(2) are

Find the angle between the straight line (x-1)/(2)=(y-3)/(2)=z with co-ordinates axes.

Find the angle between the following lines (x-1)/(2)=(y+1)/(3)=(z-4)/(6) and x+1= (y+2)/(2)=(z-4)/(2) .

The angle between the staight lines (x+1)/2=(y-2)/5=(z+3)/4 and (x-1)/1=(y+2)/2=(z-3)/(-3) is

Find the angle between the line (x-2)/(3)=(y-1)/(-1)=(z-3)/(2)" and the plane "3x+4y+z+5=0.

Find the acute angle between the following lines. 2x=3y=-zand6x=-y=-4z

Find the acute angle between the planes 2x-3y+5z=1 and x-y-z=7 .

A unit vector parallel to the straight line (x-2)/3=(3+y)/(-1) = (z-2)/(-4) is

The line through of the plane passing through the lines (x-4)/(1)=(y-3)/(1)=(z-2)/(2) and (x-3)/(1)=(y-2)/(-4)=(z)/(5) is

For what value of (vec(a)) will the straight lines (x+2)/(2)=(y)/(-3)=(z-1)/(4)and(x-3)/(a)=(y-1)/(4)=(z-7)/(a) be perpendicular?

FULL MARKS-APPLICATIONS OF VECTOR ALGEBRA-Additional Questions Solved
  1. Find the acute angle between the straight lines  (x-4)/(2)=(y)/(1)=(...

    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

    |