Home
Class 12
PHYSICS
The vector from origion to the point A a...

The vector from origion to the point A and B are `vec(A)=3hat(i)-6hat(j)+2hat(k)` and `vec(B)=2hat(i)+hat(j)-2hat(k)`,respectively. Find the area of the triangle OAB.

A

`(5)/(2)sqrt(17)` sq. unit

B

`(2)/(5)sqrt(17)` sq. unit

C

`(3)/(5)sqrt(17)` sq.unit

D

`(5)/(3)sqrt(17)` sq.unit

Text Solution

Verified by Experts

The correct Answer is:
A
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

The vectors from origin to the points A and B are vec(a)=3hat(i)-6hat(j)+2hat(k) and vec(b)= 2hat(i) +hat(j)-2hat(k) respectively. Find the area of : (i) the triangle OAB (ii) the parallelogram formed by vec(OA) and vec(OB) as adjacent sides.

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

The vectors from origin to the points A and B are vec(a) = 2 hat(i) - 3 hat(j) + 2 hat(k) and vec( b) = 2 hat(i) + 3 hat(j) + hat(k) , respectively, then the area ( in sq. units ) of Delta ABC is

Find the angle between vec(A) = hat(i) + 2hat(j) - hat(k) and vec(B) = - hat(i) + hat(j) - 2hat(k)

If vec(A)=3hat(i)+hat(j)+2hat(k) and vec(B)=2hat(i)-2hat(j)+4hat(k), then find the value of |vec(A)xxvec(B)|.

Find the dot product of two vectors vec(A)=3hat(i)+2hat(j)-4hat(k) and vec(B)=2hat(i)-3hat(j)-6hat(k) .

If vec(A)=-hat(i)+3hat(j)+2hat(k) and vec(B)=3hat(i)+2hat(j)+2hat(k) then find the value of vec(A) times vec(B) .

vec(A)=2hat(i)+4hat(j)+4hat(k) and vec(B)=4hat(i)+2hat(j)-4hat(k) are two vectors. Find the angles between them.

If vec(A)=4hat(i)+nhat(j)-2hat(k) and vec(B)=2hat(i)+3hat(j)+hat(k) , then find the value of n so that vec(A) bot vec(B)

vec(A)=(3hat(i)+2hat(j)-6hat(k)) and vec(B)=(hat(i)-2hat(j)+hat(k)) find the scalar product of vec(A) and vec(B) .

VMC MODULES ENGLISH-BASIC MATHEMATICS & VECTORS-Enable
  1. Can the resultant of two vector be zero

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. What is the angle between the vector vec(A) and vec(B) as shown in fig...

    Text Solution

    |

  17. Let vec(A)=2hat(i)+hat(j),B=3hat(j)-hat(k) and vec(C )=6hat(i)-2hat(k)...

    Text Solution

    |

  18. An object of m kg with speed of v m s^(-1) strikes a wall at an angle ...

    Text Solution

    |

  19. A particle P is atced by three coplanar forces as shown in the figure....

    Text Solution

    |

  20. If the resultant of the two forces has a magnitude smalle than the mag...

    Text Solution

    |