Home
Class 12
MATHS
The position vectors of points A and B a...

The position vectors of points A and B are
`hati - hatj + 3hatk and 3hati + 3hatj - hatk` respectively. The
equation of a plane is `vecr cdot (5hati + 2hatj - 7hatk)= 0` The
poinys A and B

A

lie on the plane

B

are on the same side of the plane

C

are on the opposite side of the plane

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
NA
Promotional Banner

Topper's Solved these Questions

  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|31 Videos

  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|16 Videos

  • MISCELLANEOUS EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|55 Videos

Similar Questions

Explore conceptually related problems

The position vectors of points A and B are hati - hatj + 3hatk and 3hati + 3hatj - hatk respectively. The equation of a plane is vecr cdot (5hati + 2hatj - 7hatk)= 0 The points A and B

The position vectors of points A,B and C are hati+hatj,hati + 5hatj -hatk and 2hati + 3hatj + 5hatk , respectively the greatest angle of triangle ABC is

The position vectors of the points A, B, C are 2 hati + hatj - hatk , 3 hati - 2 hatj + hatk and hati + 4hatj - 3 hatk respectively . These points

The position vectors of the points A, B, C are 2 hati + hatj - hatk , 3 hati - 2 hatj + hatk and hati + 4hatj - 3 hatk respectively . These points

The position vectors of the points A, B, C are 2 hati + hatj - hatk , 3 hati - 2 hatj + hatk and hati + 4hatj - 3 hatk respectively . These points

The position vectors of A and B are hati-hatj+2hatk and 3hati-hatj+3hatk . The position vector of the middle points of the line AB is

If the position vectors of P and Q are (hati+3hatj-7hatk) and (5hati-2hatj+4hatk) , then |PQ| is

The position vectors of A and B are 3hati - hatj +7hatk and 4hati-3hatj-hatk . Find the magnitude and direction cosines of vec(AB) .

If the position vectors of A and B respectively hati+3hatj-7hatk and 5 hati-2hatj+4hatk , then find AB

The position vectors of the points P and Q are 5hati+ 7hatj- 2hatk and -3hati+3hatj+6hatk , respectively. Vector vecA= 3hati-hatj+hatk passes through point P and vector vecB=-3hati+2hatj+4hatk passes through point Q. A third vector 2hati+7hatj-5hatk intersects vectors A and B. Find the position vectors of points of intersection.

OBJECTIVE RD SHARMA ENGLISH-PLANE AND STRAIGHT LINE IN SPACE -Exercise
  1. If the position vectors of the points A and B are 3hati+hatj+2hatk and...

    Text Solution

    |

  2. The vector equation of the plane passing through the origin and the li...

    Text Solution

    |

  3. The position vectors of points A and B are hati - hatj + 3hatk and 3...

    Text Solution

    |

  4. The vector equation of the plane through the point 2hat(i)-hat(j)-4hat...

    Text Solution

    |

  5. The vector equation of the plane through the point (2, 1, -1) and pass...

    Text Solution

    |

  6. Equation of a plane passing through the intersection of the planes vec...

    Text Solution

    |

  7. The vector equation of a plane which contains the line vecr=2hati+lamd...

    Text Solution

    |

  8. The equation of the plane containing the lines vecr = vec a (1) + lam...

    Text Solution

    |

  9. The equation of the plane containing the lines vecr = vec a (1) + lam...

    Text Solution

    |

  10. Find the equation of plane passing through the line of intersection of...

    Text Solution

    |

  11. Find the vector equation of the plane in which the lines vecr=hati+ha...

    Text Solution

    |

  12. The Cartesian equation of the plane vecr=(1+lamda-mu)hati+(2-lamda)hat...

    Text Solution

    |

  13. The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+l...

    Text Solution

    |

  14. The vector equation of the line of intersection of the planes vecr.(2h...

    Text Solution

    |

  15. A straight line vecr=veca+lambda vecb meets the plane vecr. vec n=0 at...

    Text Solution

    |

  16. The equation of the plane passing through three non - collinear points...

    Text Solution

    |

  17. The length of the perpendicular from the origin to the plane passing t...

    Text Solution

    |

  18. The equation of the plane containing the line (x-x1)/l=(y-y1)/m=(z-...

    Text Solution

    |

  19. Find the shortest distance between the following pairs of lines whose ...

    Text Solution

    |

  20. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2and (x-1)/(3k)=(y-1)/1=(z-6...

    Text Solution

    |