Home
Class 12
MATHS
Find the angle between the following pai...

Find the angle between the following pair of lines
`vec(r)=(2hat(i)+3hat(j)-5hat(k))+t(hat(i)+2hat(j)-2hat(k))" and"vec(r)=(2hat(i)-6hat(k))+t'(hat(i)+2hat(j)-2hat(k))`

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos

  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos

  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITVE EXAMINATION|20 Videos

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the following pair of lines vec(r)=(3hat(i)+2hat(j)-4hat(k))+t(hat(i)+2hat(j)+2hat(k))" and "vec(r)=(hat(i)-2hat(j))+t'(3hat(i)+2hat(j)+6hat(k))

Find the angle between the lines vec(r)=(3hat(i)+hat(j)-4hat(k))+t(hat(i)+hat(j)+hat(k)) and vec(r)=(5hat(i)-hat(j))+t'(3hat(i)+2hat(j)+4hat(k))

Find the shortest distance between the following pairs of parallel lines whose equations are : vec(r)=(hat(i)+2hat(j)+3hat(k))+t(hat(i)-hat(j)+hat(k)) and vec(r)=(2hat(i)-hat(j)-hat(k))+s(-hat(i)+hat(j)-hat(k))

The lines vec(r)=hat(i)+hat(j)-hat(k)+lamda(3hat(i)-hat(j)) and vec(r)=(4hat(i)-hat(k))+mu(2hat(i)+3hat(k)) -

Find the shortest distance between the following pairs of parallel lines whose equations are : vec(r)=(hat(i)+hat(j))+t'(2hat(i)-hat(j)+hat(k)) and vec(r)=(2hat(i)+hat(j)-hat(k))+s'(4hat(i)-2hat(j)+2hat(k))

Find the distance between the lines l_(1) and l_(2) given by vec(r)=(hat(i)+2hat(j)-4hat(k))+lamda(2hat(i)+3hat(j)+6hat(k)) and vec(r)=(3hat(i)+3hat(j)-5hat(k))+mu(2hat(i)+3hat(j)+6hat(k))

Find the shortest distance between the two lines whose vector equations are : vec(r)=(hat(i)+hat(j))+t(2hat(i)-hat(j)+hat(k)), vec(r)=(2hat(i)+hat(j)-hat(k))+s(3hat(i)-5hat(k)+2hat(k))

Find the angel between the following pair of lines: vec r=2 hat i-5 hat j+ hat k+lambda(3 hat i+2 hat j+6 hat k)a n d vec r=7 hat i-6 hat k+mu( hat i+2 hat j+2 hat k) x/2=y/2=z/1a n d(x-5)/4=(y-2)/1=(z-3)/8

The lines vec(r)=hat(i)+t(5hat(i)+2hat(j)+hat(k)) and vec(r)=hat(i)+s(-10hat(i)-4hat(j)-2hat(k)) are -

Find the shortest distance between the two lines whose vector equations are : vec(r)=(hat(i)+2hat(j)+3hat(k))+t(2hat(i)+3hat(j)+4hat(k)), vec(r)=(2hat(i)+4hat(j)+5hat(k))+s(3hat(i)+4hat(j)+5hat(k))

CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Exercise 4A
  1. Find the equation of a line passing through the point (1,2,3) and para...

    Text Solution

    |

  2. Find the angle between the following pair of lines vec(r)=(3hat(i)+...

    Text Solution

    |

  3. Find the angle between the following pair of lines vec(r)=(2hat(i)+...

    Text Solution

    |

  4. Find the angle between the following pair of lines (x+4)/(3)=(y-1)/...

    Text Solution

    |

  5. Find the angle between the following pair of lines (x-7)/(2)=(y+5)/...

    Text Solution

    |

  6. Find the angle between the pair of lines with direction ratios given ...

    Text Solution

    |

  7. Find the angle between the pair of lines with direction ratios given ...

    Text Solution

    |

  8. Find the angle between the pair of lines with direction ratios given ...

    Text Solution

    |

  9. Find the angle between the pair of lines with direction ratios given ...

    Text Solution

    |

  10. Find the equation of the line passing through the point (1,2,3), which...

    Text Solution

    |

  11. Find the equation of the line which passes through the point with posi...

    Text Solution

    |

  12. If the lines (x-1)/(-3)=(y-2)/(2lamda)=(z-3)/(2)" and "(x-1)/(3lamda)=...

    Text Solution

    |

  13. Slow that the lines (x-5)/(7)=(y+2)/(-5)=(z)/(1) and (x)/(1)=(y)/(2)=(...

    Text Solution

    |

  14. If the coordinates of the points A,B,C,D be (1,2,3), (4,5,7), (-4,3,-6...

    Text Solution

    |

  15. Show that the lines (x+1)/(3)=(y+3)/(5)=(z+5)/(7) and x-2=(y-4)/(3)=(z...

    Text Solution

    |

  16. Show that the lines (x-1)/(3)=(y+1)/(2)=(z-1)/(5) and (x+2)/(4)=(y-1)/...

    Text Solution

    |

  17. Show that the line through P(3,9,4) and Q(-4,4,4)) intersect the line ...

    Text Solution

    |

  18. Find whether the lines vec(r)=(2hat(i)+3hat(j)+hat(k))+t(5hat(j)-4hat(...

    Text Solution

    |

  19. Determine whether the following pair of lines intersect or not : (i)...

    Text Solution

    |

  20. The perpendicular distance of the points (1,0,0) from the y-axis is -

    Text Solution

    |