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

The position vectors of points A, B, C and D are :
`vec(A) = 3hat(i) + 4hat(j) + 5hat(k), vec(B) = 4hat(i) + 5hat(j) + 6hat(k)`
`vec(C ) = 7hat(i) + 9hat(j) + 3hat(k)` and `vec(D) = 4hat(i) + 6hat(j)`
Then the displacement vectors `vec(AB)` and `vec(CD)` are :

A

perpendicular

B

Parallel

C

Antiparallel

D

Inclined at an angle of `60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS & VECTORS

    VMC MODULES ENGLISH|Exercise Efficient|50 Videos

  • BASIC MATHEMATICS & VECTORS

    VMC MODULES ENGLISH|Exercise Impeccable|50 Videos

  • BASIC MATHEMATICS & VECTORS

    VMC MODULES ENGLISH|Exercise Impeccable|50 Videos

  • CAPACITORS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive ) LEVEL 48|1 Videos

Similar Questions

Explore conceptually related problems

Three vectors vec(A) = 2hat(i) - hat(j) + hat(k), vec(B) = hat(i) - 3hat(j) - 5hat(k) , and vec(C ) = 3hat(i) - 4hat(j) - 4hat(k) are sides of an :

If vec(F ) = hat(i) +2 hat(j) + hat(k) and vec(V) = 4hat(i) - hat(j) + 7hat(k) what is vec(F) . vec(v) ?

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

If vec(a) = 2 hat(i) + hat(j) + 2hat(k) and vec(b) = 5hat(i)- 3 hat(j) + hat(k) , then the projection of vec(b) on vec(a) is

Find the projection of vec(b)+ vec(c ) on vec(a) where vec(a)= 2 hat(i) -2hat(j) + hat(k), vec(b)= hat(i) + 2hat(j)- 2hat(k), vec(c ) = 2hat(i) - hat(j) + 4hat(k)

If vec(a)= 3hat(i) + hat(j) + 2hat(k) and vec(b)= 2hat(i)-2hat(j) + 4hat(k) , then the magnitude of vec(b) xx vec(a) is

Find the angle between the vector vec(a) =2 hat(i) + 3hat(j) - 4 hat(k) and vec(b) = 4hat(i) +5 hat(j) - 2hat(k) .

If vec(A) = 3hat(i) - 4hat(j) + hat(k) and vec(B) = 4hat(j) + phat(i) + hat(k) for what value of p, vec(A) and vec(B) will ve collinear ?

Show that the two vectors vec(A) and vec(B) are parallel , where vec(A) = hat(i) + 2 hat(j) + hat(k) and vec(B) = 3 hat(i) + 6 hat(j) + 3 hat(k)

Unit vectors perpendicular to the plane of vectors vec(a) = 2 hat(*i) - 6 hat(j) - 3 hat(k) and vec(b) = 4 hat(i) + 3 hat(j) - hat(k) are

VMC MODULES ENGLISH-BASIC MATHEMATICS & VECTORS-Enable
  1. If two vectors 2hat(i)+3hat(j)-hat(k) and -4hat(i)-6hat(j)-lambda hat(...

    Text Solution

    |

  2. Two vectors vec(A)and vec(B) are at right angles to each other then

    Text Solution

    |

  3. The position vectors of points A, B, C and D are : vec(A) = 3hat(i) ...

    Text Solution

    |

  4. For any two vectors vec(A) and vec(B), if vec(A).vec(B) = |vec(A) xx v...

    Text Solution

    |

  5. If vec(A) and vec(B) are perpendicular Vectors and vector vec(A)= 5hat...

    Text Solution

    |

  6. Can the resultant of two vector be zero

    Text Solution

    |

  7. IF vec(A) = 5hat(i) + 12hat(j) and vec(B) = 3hat(i) + 4hat(j), find co...

    Text Solution

    |

  8. The vector from origion to the point A and B are vec(A)=3hat(i)-6hat(j...

    Text Solution

    |

  9. The resultant of vec(A) and vec(B) makes an angle alpha with vec(A) ...

    Text Solution

    |

  10. If vec(a) = 2hat(i) + hat(j) - hat(k) and vec(b) = hat(i) - hat(k), th...

    Text Solution

    |

  11. The angle between two vectors given by 6hat(i)+6hat(j)-3hat(k) and 7ha...

    Text Solution

    |

  12. The vector projection of a vector 3hat(i)+4hat(k) on y-axis is

    Text Solution

    |

  13. Position of a particle in a rectangular -co-ordinate (3,2,5). Then its...

    Text Solution

    |

  14. If vec(A) = 3hat(i) + 4hat(j) and vec(B) = 7hat(i) + 24hat(j), the vec...

    Text Solution

    |

  15. Vector vec(A) makes equal angles with x-,y-,and z-axis. Find the value...

    Text Solution

    |

  16. If vec(A)= 2hat(i)+4hat(j)-5hat(k) then the direction of cosins of the...

    Text Solution

    |

  17. Find the vector that must be added to the vector hat(i)-3hat(j)+2hat(k...

    Text Solution

    |

  18. If vec(A) = a(x)hat(i) + a(y)hat(j) + a(z)hat(k) and vec(B) = b(x)hat(...

    Text Solution

    |

  19. There are two force vectors, one of 5 N and other of 12 N at what angl...

    Text Solution

    |

  20. What is the component of the vector vec(a) along the x-axis in the sit...

    Text Solution

    |