Home
Class 12
MATHS
Find the angle between the line r=hat(i)...

Find the angle between the line `r=hat(i)+2hat(j)-hat(k)+lambda(hat(i)-hat(j)+hat(k))` and the plane `rcdot(2hat(i)-hat(j)+hat(k))=4`.

A

II and IV

B

I and IV

C

Only IV

D

III and IV

Text Solution

Verified by Experts

The correct Answer is:
(b)
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

The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-hat(j)+4hat(k)) and the plane rcdot(hat(i)+5hat(j)+hat(k))=5, is

Find the angle between the line vec(r)=2hat(i)-hat(j)+2hat(k)=2hat(i)-hat(j)+2hat(k) the plane vec(r)*(2hat(i)-hat(j)+hat(k))

Find the angle between the vectors hat(i)+3hat(j)+7hat(k) and 7hat(i)-hat(j)+8hat(k) .

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

Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+lambda( hat i- hat j+ hat k) and the plane vec r = dot(2 hat i- hat j+ hat k)=4.

Find the distance of the point (-1,-5,-10) from the point of intersection of the line vec(r)=2hat(i)-hat(j)+2hat(k)+lamda(3hat(i)+4hat(j)+2hat(k)) and the plane vec(r)*(hat(i)-hat(j)+hat(k))=5

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. Find the angle between the pair of lines r=3hat(i)+2hat(j)-4hat(k)+l...

    Text Solution

    |

  2. Find the shortest distance between the lines given by the equations ve...

    Text Solution

    |

  3. Find the angle between the line r=hat(i)+2hat(j)-hat(k)+lambda(hat(i)-...

    Text Solution

    |

  4. Consider three vectors p=i+j+k, q=2i+4j-k and r=i+j+3k. If p, q and r ...

    Text Solution

    |

  5. Find the equation of the plane with intercept 3 on the y-axis and para...

    Text Solution

    |

  6. If the distance between the planes 8x+12y-14z=2 and 4x+6y-7z=2 can be ...

    Text Solution

    |

  7. A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is pa...

    Text Solution

    |

  8. What is 15% Equals to

    Text Solution

    |

  9. The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4)in the ratio...

    Text Solution

    |

  10. Find the value of x Equation is x+7=6

    Text Solution

    |

  11. Let a,b,c are three vectors of which every pair is non-collinear, if t...

    Text Solution

    |

  12. Equations of the line which passe through the point with position vect...

    Text Solution

    |

  13. Which of the following pairs of linear equations are consistent ? Obta...

    Text Solution

    |

  14. A parallelopiped is formed by planes drawn through the points (1, 2, 3...

    Text Solution

    |

  15. Vector equation of the plane r = hati-hatj+ lamda(hati +hatj+hatk)+mu(...

    Text Solution

    |

  16. Find the shortest distance between the lines whose equations are : vec...

    Text Solution

    |

  17. Consider the plane (x,y,z)= (0,1,1) + lamda(1,-1,1)+mu(2,-1,0) The dis...

    Text Solution

    |

  18. The value of a for which the lines (x-2)/(1)=(y-9)/(2)=(z-13)/(3) and ...

    Text Solution

    |

  19. For the line (x-1)/1=(y-2)/2=(z-3)/3, which one of the following is ...

    Text Solution

    |

  20. Given planes P1:cy+bz=x P2:az+cx=y P3:bx+ay=z P1, P2 and P3 pass...

    Text Solution

    |