Home
Class 12
MATHS
Write the direction cosine of the line w...

Write the direction cosine of the line whose Cartesian equations are `2x=3y=-zdot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|3 Videos
  • TANGENTS AND NORMALS

    RD SHARMA ENGLISH|Exercise All Questions|244 Videos

Similar Questions

Explore conceptually related problems

Write the direction cosines of y-axis.

Find the vector equation of the plane whose Cartesian equation is 2x+3y-9z=4

What are the direction cosines of a line whose direction ratios are 3,4,12?

What are the direction cosines of a line whose direction ratios are 3,4,12?

Find the vector equation of the following planes whose Cartesian equations are 2x+3y-z-1=0

Find the vector equation of the following planes whose Cartesian equations are x+2y+3z+5=0

Write the direction cosines of a line parallel to z-axis.

The direction cosines of the line 6x-2=3y+1=2z-2 are

The direction cosines of the line 6x-2=3y+1=2z-2 are

Find the direction cosines of that line whose direction ratios are as follows : (i) 1,-2,2 , (ii) 2,6,3 (iii) 3,1,-2

RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Write the direction cosines of the line (x-2)/2=(2y-5)/(-3),\ z=2.

    Text Solution

    |

  2. Write the coordinate axis to which the line (x-2)/3=(y+1)/4=(z-1)/0 is...

    Text Solution

    |

  3. Write the direction cosine of the line whose Cartesian equations are 2...

    Text Solution

    |

  4. Write the angle between the lines 2x=3y=z\ a n d\ 6x=-y=-4zdot

    Text Solution

    |

  5. Write the value of lambda for which the lines (x-3)/(-3)=(y+2)/(2lambd...

    Text Solution

    |

  6. Write the formula for the shortest distance between the lines vec r=...

    Text Solution

    |

  7. Write the condition for the lines vec r= vec a1+lambda vec b1 a n d...

    Text Solution

    |

  8. The Cartesian equations of a line AB are (2x-1)/(sqrt(3))=(y+2)/2=(z-3...

    Text Solution

    |

  9. If the equation of a line "A B" is ("x"-3)/1=("y"+2)/(-2)=("z"-5)/4...

    Text Solution

    |

  10. Write the vector equation of a line given by (x-5)/3=(y+4)/7=(z-6)/2

    Text Solution

    |

  11. The equation of a line given by (4-x)/3=(y+3)/3=(z+2)/6dot Write the d...

    Text Solution

    |

  12. Find the cartesian equation of the line which passes through the poin...

    Text Solution

    |

  13. Find the Cartesian equation of the line which passes through the point...

    Text Solution

    |

  14. Find the angle between the lines vec r=(2 hat i-5 hat j+ hat k)+lambd...

    Text Solution

    |

  15. Find the angle between the lines 2x=3y=-za n d 6x=-y=-4zdot

    Text Solution

    |

  16. The angle between the straight lines (x+1)/2=(y-2)/5=(z+3)/4a n d(x-1)...

    Text Solution

    |

  17. The lines x/1=y/2=z/3a n d(x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are a. coin...

    Text Solution

    |

  18. The angle between the lines (x-1)/1=(y-1)/1=(z-1)/2a n d(x-1)/(-sqrt(3...

    Text Solution

    |

  19. The direction ratios of the line 2y+z-5=0=x-3y-6 are proportional to 3...

    Text Solution

    |

  20. The length of the perpendicular drawn from (1,2,3) to the line (x-6...

    Text Solution

    |