Home
Class 11
PHYSICS
If vec(A)=3hat(i)+hat(j)+2hat(k) and vec...

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)|`

A

`8sqrt(2)`

B

`8sqrt(3)`

C

`8sqrt(5)`

D

`5sqrt(8)`

Text Solution

Verified by Experts

The correct Answer is:
B
`vec(A)xxvec(B)= | (hat(i),hat(j),hat(k)),(3,1,2),(2,-2,4)|`
`=(1xx4-2xx-2)hat(i)+(2xx2-4xx3)hat(j)+(3xx-2-1xx2)hat(k)`
`=8hat(i)-8hat(j)-8hat(k)`
Mangnitude of `vec(A)xxvec(B)=|vec(A)xxvec(B)|`
`=sqrt((18)^(2)+(-8)^(2)+(-8)^(2))= 8sqrt(3)`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    A2Z|Exercise Problems Based On Mixed Concepts|32 Videos

  • VECTORS

    A2Z|Exercise Assertion Reasoning|17 Videos

  • VECTORS

    A2Z|Exercise Dot Product|22 Videos

  • UNIT, DIMENSION AND ERROR ANALYSIS

    A2Z|Exercise Chapter Test|28 Videos

  • WAVES AND ACOUSTICS

    A2Z|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

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

If vectors vec(a)=hat(i)-2hat(j)+hat(k), vec(b)=-2hat(i)+4hat(j)+5hat(k) and vec(c )=hat(i)-6hat(j)-7hat(k) , then find the value of |vec(a)+vec(b)+vec(c )| .

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)

If vec(a)=4hat(i)+hat(j)-hat(k) , vec(b)=3hat(i)-2hat(j)+2hat(k) , then the value of |vec(a)-vec(b)-vec(c)| is :-

If vec(a) = hat(i) + hat(j) + 2 hat(k) and vec(b) = 3 hat(i) + 2 hat(j) - hat(k) , find the value of (vec(a) + 3 vec(b)) . ( 2 vec(a) - 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) .

If vec(A)=2hat(i)+hat(j)+hat(k) and vec(B)=hat(i)+2hat(j)+2hat(k) , find the magnitude of compinent of (vec(A)+vec(B)) along vec(B)

If vec(a)=4hat(i)-hat(j)+hat(k) and vec(b)=2hat(i)-2hat(j)+hat(k) , then find a unit vector parallel to the vector vec(a)+vec(b) .

If vec(a)=2hat(i)-hat(j)+2hat(k) and vec(b)=6hat(i)+2hat(j)+3hat(k) , find a unit vector parallel to vec(a)+vec(b) .

A2Z-VECTORS-Cross Product
  1. The angle between Vectors (vec(A)xxvec(B)) and (vec(B)xxvec(A)) is

    Text Solution

    |

  2. What is the anlge between vec P xx vec Q and vec Q xx vec P is

    Text Solution

    |

  3. What is the unit vector perpendicular to the following Vector 2hat(i)+...

    Text Solution

    |

  4. The area of the parallelogram whose sides are represented by the vecto...

    Text Solution

    |

  5. The position of the particle is given by vec(r )=(vec(i)+2vec(j)-vec(k...

    Text Solution

    |

  6. If A=5 units,B=6 units and |vec(A)xxvec(B)|= 15 units, then what is th...

    Text Solution

    |

  7. The area of the parallelogram whose diagonals are vec(P)= 2hat(i)+3hat...

    Text Solution

    |

  8. Three vector vec(A),vec(B), vec(C ) satisfy the relation vec(A)*vec(B)...

    Text Solution

    |

  9. If a vector vec(A) is parallel to another vector vec(B) then the resul...

    Text Solution

    |

  10. If vec(A)=3hat(i)+hat(j)+2hat(k) and vec(B)=2hat(i)-2hat(j)+4hat(k), t...

    Text Solution

    |

  11. Which of the following is the unit vector perpendicular to vec(A) and ...

    Text Solution

    |

  12. The angle between the vector vec(A) and vec(B) is theta. Find the valu...

    Text Solution

    |

  13. The angle between vectors (vec(A)xxvec(B)) and (vec(B)xxvec(A)) is

    Text Solution

    |

  14. The angle between Vectors (vec(A)xxvec(B)) and (vec(B)xxvec(A)) is

    Text Solution

    |

  15. Two vector vec(A) and vec(B) have equal magnitudes. Then the vector ve...

    Text Solution

    |

  16. The value of (vec(A)+vec(B))xx(vec(A)-vec(B)) is

    Text Solution

    |

  17. Two adjacent sides of a parallelogram are respectively by the two vect...

    Text Solution

    |

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

    Text Solution

    |

  19. What is the unit vector perpendicular to the following Vector 2hat(i)+...

    Text Solution

    |

  20. If |vec(A)xxvec(B)|=sqrt(3)vec(A).vec(B), then the value of |vec(A)+ve...

    Text Solution

    |