Home
Class 12
MATHS
Find the equation of the line which pass...

Find the equation of the line which passes through (1,2,-4) and (4,-5,2) both in cartesian and vector form.

Text Solution

Verified by Experts

The correct Answer is:
`(x-1)/(3)=(y-2)/(-7)=(z+4)/(6),vec(r)=(hat(i)+2hat(j)-4hat(k))+(3hat(i)-7hat(j)+6hat(k))`
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 equation of the line passing through the point (3,7,-4) and (1,6,-1) in both cartesian and vector from

Find the equation of the plane which passes through (1,2,4) and (3,-4,5) and is parallel to x-axis.

Find the equation of the line passing through the points (1,2,3)a n d(-1,0,4)dot

Find the equation of a circle which passes through (0, -3) and (3, -4) and the centre lies on the straight line 2x - 5y + 12 = 0.

Find the equation of the circle which passes through the points (3, 4) and (-1, 2) and whose centre lies on the line x-y = 4.

Find the equation of the line passing through (1,1) and parallel to the line 2x-3y+5=0.

Find the equation of the circle which passes through the point (2,-2), and (3,4) and whose centre lies on the line x+y=2 .

Find the equation of the plane which passes through the points (3,4,1) and (0,1,0) and parallel to the line (x+3)/2=(y-3)/7=(z-2)/5

Find the equation of the line Passing through the points (-1, 1) " and " (2, - 4) .

Find the equation of a line which passes through the point (2,3,4) and which has equal intercepts on the axes.

CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Exercise 4A
  1. The cartesian equation of a line is 3x+2=5y-4=3-z. Find a point on t...

    Text Solution

    |

  2. The cartesian equations of a line are 3x+1=6y-2=1-z. Find the fxed poi...

    Text Solution

    |

  3. Find the equation of the line which passes through (1,2,-4) and (4,-5,...

    Text Solution

    |

  4. The equation of a line is given by x=by+c, z=ay+d, write it in cartes...

    Text Solution

    |

  5. Let the position vectors of the points P, Q and R are respectively giv...

    Text Solution

    |

  6. Show that the poins whose position vectors are 4hat(i)+5hat(k),hat(i)+...

    Text Solution

    |

  7. Find the points on the line (x+2)/(3)=(y+1)/(2)=(z-3)/(2) at a distanc...

    Text Solution

    |

  8. Show that the line joining the points P and Q with position vectors ve...

    Text Solution

    |

  9. (i) Find the vector equation of a line passing through a point with po...

    Text Solution

    |

  10. The angle between the straight lines (x-4)/(2)=(y-5)/(0)=(z-6)/(0) and...

    Text Solution

    |

  11. The angle between the straight lines x=5,y=4t+5,z=4t+3 and (x-5)/(5)=(...

    Text Solution

    |

  12. The straight lines (x-x(1))/(l(1))=(y-y(1))/(m(1))=(z-z(1))/(n(1))" an...

    Text Solution

    |

  13. The straight lines (x)/(a(1))=(y)/(b(1))=(z)/(c(1)) and (x-2)/(a(2))=(...

    Text Solution

    |

  14. State which of the following statement is true ?

    Text Solution

    |

  15. The angles between the lines (x-5)/(2)=(y-3)/(2)=(z)/(0) and x=5,y=8,z...

    Text Solution

    |

  16. The angle between the lines(x-5)/(1)=(y-1)/(0)=(z-9)/(0) and 2x-1=5-2y...

    Text Solution

    |

  17. The lines (x)/(1)=(y)/(2)=(z)/(3) and (x-1)/(-2)=(y-2)/(-4)=(3-z)/(6) ...

    Text Solution

    |

  18. Find the angle between the lines (x-5)/(7)=(y+2)/(-5)=(z-9)/(1) and (x...

    Text Solution

    |

  19. Find the angle between the lines (x-7)/(2)=(y-6)/(3)=(z+2)/(-4) and (2...

    Text Solution

    |

  20. The cartesian equation of a line AB is (3-x)/(1)=(y+2)/(-2)=(z-5)/(4)....

    Text Solution

    |