Home
Class 12
MATHS
The coordinates of the point P on the ...

The coordinates of the point `P` on the line ` vec r=( hat i+ hat j+ hat k)+lambda(- hat i+ hat j- hat k)` which is nearest to the origin is

A

`((2)/(3), (4)/(3), (2)/(3))`

B

`(-(2)/(3), -(4)/(3), (2)/(3))`

C

`((2)/(3), (4)/(3), -(2)/(3))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
(a)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 4|7 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Find the magnitude of vec a=(hat i+3 hat j- 2 hat k)*(-hat i+3 hat k) .

Find the angle between the vectors hat i + hat j-hat k and hat i-hat j+hat k .

Find the shortest distance between the lines vec r = 5 hat i + 3 hat j + 2 hat k + lambda (2 hat i + hat j - hat k ) and vec r = 3 hat i - hat j - 2 hat k + mu ( hat i + hat j + 2 hat k )

Find vec a* vec b if vec a=3 hat i+4 hat j-2 hat k and vec b=-2 hat i+ 2 hat j + hat k

Find the shortest distance between the lines vec r = (hat i + 2 hat j + hat k) + lambda (hat i - hat j + hat k) and vec r = ( 2 hat i - hat j - hat k) + mu ( 2 hat i + hat J + 2 hat k)

Find the shortest distance between the lines given by the equations vec r= (hat i - 2 hat j + 3 hat k) + lambda ( hat i +3 hat j + 4 hat k) , vec r= (2 hat i - hat j +5 hat k) + mu (3 hat i + 4 hat j - hat k) .

Find the shortest distance between the lines vec r = 2 hat i + 3 hat j + hat k + lambda (2 hat i - hat j + 3 hat k ) and vec r = 7 hat i + 5 hat j + 6 hat k + mu ( hat i + 3 hat j + 5 hat k )

Find the shortest distance between lines vec r=( hat i+2 hat j+ hat k)+lambda(2 hat i+ hat j+2 hat k) and vec r=2 hat i- hat j- hat k+mu(2 hat i+ hat j+2 hat k)dot

Find the shortest distance between the lines vec r = hat i + 2 hat j + 3 hat k ) + lambda (hat i- 3 hat j + 2 hat k) and vec r = ( 4 hat i + 5 hat j + 6 hat k ) + mu ( 2 hat i + 3 hat j + hat k )

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. The radius of the circle in which the sphere x^(2)=y^(2)+z^(2)+2z-2y-4...

    Text Solution

    |

  2. Let veca=hati+hatj and vecb=2hati-hatk. Then the point of intersection...

    Text Solution

    |

  3. The coordinates of the point P on the line vec r=( hat i+ hat j+ ha...

    Text Solution

    |

  4. Find 3-dimensional vectors vec v1,vec v2,vec v3 satisfying vec v1* ve...

    Text Solution

    |

  5. The position vectors of points a and b are hat(i)-hat(j)+3hat(k) and 3...

    Text Solution

    |

  6. A, B, C and D are four points in space. Using vector methods, prove th...

    Text Solution

    |

  7. Find the value of x Equation is x+2=9

    Text Solution

    |

  8. If the three planes rcdotn1=p1, rcdotn2=p2 and rcdotn3=p3 have a commo...

    Text Solution

    |

  9. A pentagon is formed by cutting a triangular corner from a rectangular...

    Text Solution

    |

  10. In a three-dimensional coordinate system, P ,Q ,a n dR are images o...

    Text Solution

    |

  11. A plane 2x+3y+5z=1 has a point P which is at minimum distance from lin...

    Text Solution

    |

  12. Evaluate int x^5 dx

    Text Solution

    |

  13. A cube C={(x, y, z)|o le x, y, zle1} is cut by a sharp knife along the...

    Text Solution

    |

  14. A ray of light is sent through the point P(1,2,3) and is reflected on ...

    Text Solution

    |

  15. Find dy/dx if 2x-3sinx=2y

    Text Solution

    |

  16. The shortest distance between any two opposite edges of the tetrahedro...

    Text Solution

    |

  17. The angle between the pair of planes represented by equation 2x^(2)-2y...

    Text Solution

    |

  18. Find the value of x Equation is x+1=1

    Text Solution

    |

  19. The four lines drawing from the vertices of any tetrahedron to the cen...

    Text Solution

    |

  20. The shorteast distance from (1, 1, 1) to the line of intersection of t...

    Text Solution

    |