Home
Class 12
PHYSICS
The position vectors of points A,B,C and...

The position vectors of points A,B,C and D are `A=3hati+4hatj+5hatk`,`B=4hai+5hatj+6hatk`,`C=7hati+9hatj+3hatk`, and `D=4hati+6hatj`, then the displacement vectors AB and CD are

A

Same

B

Parallel

C

Perpendicular

D

Antiparallel

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN|Exercise Basic Maths (Units, Dimensions & Measurements)|30 Videos

  • RACE

    ALLEN|Exercise Basic Maths (KINEMATICS)|59 Videos

  • RACE

    ALLEN|Exercise Basic Maths (Co-ordinate & Algebra)|37 Videos

  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-III|28 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

The position vectors of points A,B,C and D are A=3hati+4hatj+5hatk , B=4hati+5hatj+6hatk , C=7hati+9hatj+3hatk , and D=4hati+6hatj , then the displacement vectors AB and CD are

The position vectors of the point A, B, C and D are 3hati-2hatj -hatk, 2hati+3hatj-4hatk, -hati+hatj+2hatk and 4hati+5hatj +lamda hatk , respectively. If the points A, B, C and D lie on a plane, find the value of lamda .

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

Position vectors of four points A,B,C,D are 4hati +5hatj+hatk,-(hatj+hatk),3hati+9hatj+4hatk and 4(-hati+hatj+hatk) respectively . Prove that they are coplanar.

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is

The position vectors of the points A,B, and C are hati+2hatj-hatk, hati+hatj+hatk , and 2hati+3hatj+2hatk respectively. If A is chosen as the origin, then the position vectors B and C are

The position vectors of the points A,B and C are hati+2hatj-hatk,hati+hatj+hatk and 2hati+3hatj+2hatk , respectively. If A is chosen as the origin, then the position vectors of B and C are

ALLEN-RACE-Basic Maths (VECTORS)
  1. If |hatAxxhatB|=-sqrt(3)hatA.hatB, then |hatA-hatB|=…………………..

    Text Solution

    |

  2. Find the torque of a force vecF=2hati+hatj+4hatk acting at the point v...

    Text Solution

    |

  3. What is the value of linear velocity ,if if omega=3hati-4hatj+hatkand ...

    Text Solution

    |

  4. The angle made by the vector vecA=hati+hatj with x-axis is

    Text Solution

    |

  5. Two vectors vecA=3hati+2hatj+hatk" and "vecB=5hatj-9hatj+Phatk are per...

    Text Solution

    |

  6. If the vectors (hati + hatj+hatk) and 3hati form two sides of a triang...

    Text Solution

    |

  7. The vactor projection of a vector 3hati+4hatkon y-axis is

    Text Solution

    |

  8. Consider two vectors vecF(1)=2hati+5hatk and vecF(2)=3hatj+4hatk. The ...

    Text Solution

    |

  9. The component of vector A=a(x)hati+a(y)hatj+a(z)hatk and the directioi...

    Text Solution

    |

  10. (vecA+2vecB).(2vecA-3vecB):-

    Text Solution

    |

  11. If vecA=3hati+4hatj and vecB=6hati+8hatj, select correct alternatives ...

    Text Solution

    |

  12. the angle between the vectors (hati+hatj) and (hatj+hatk) is

    Text Solution

    |

  13. vecA, vecB and vecC are vectors each having a unit magneitude. If ...

    Text Solution

    |

  14. The velocity of a particle is v=6hati+2hatj-2hatk The component of the...

    Text Solution

    |

  15. Two vectors vecA=4hati+alphahatj+2hatk" and "vecB=2hati+hatj+hatk are ...

    Text Solution

    |

  16. If vector hati+hatj-hatk" and "2hati+2hatj+lambdahatk are parallel tha...

    Text Solution

    |

  17. If vecAxxvecB=vecC then find out the correct one :-

    Text Solution

    |

  18. The position vectors of points A,B,C and D are A=3hati+4hatj+5hatk,B=4...

    Text Solution

    |

  19. If vector (hata+ 2hatb) is perpendicular to vector (5hata-4hatb), then...

    Text Solution

    |

  20. If hata" and "hatb are non-collinear unit vectors and if |hata+hatb|=s...

    Text Solution

    |