Home
Class 11
PHYSICS
vecA and vecB are two vectors. (vec...

`vecA and vecB` are two vectors. `(vecA + vecB) xx (vecA - vecB)` can be expressed as :

A

`vecB xx vecA`

B

`2 (vecB xx vecA)`

C

`2(vecA xx vecB)`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
B

`(vecA + vecB)xx(vecA - vecB) = vecA xx vecA- vecA xx vecB + vec B +vecB xx vecA-vecB xx vecB`
`" "= 0 -vecA xx vecB+vecB xx vecA - 0`
`" "= 2(vecB xx vecA)`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    GRB PUBLICATION|Exercise MORE THAN ONE CHOICE IS CORRECT|15 Videos
  • VECTORS

    GRB PUBLICATION|Exercise ASSERTION- REASON|1 Videos
  • VECTORS

    GRB PUBLICATION|Exercise PROBLEMS FOR PARCTICE|23 Videos
  • UNITS AND DIMENSIONS

    GRB PUBLICATION|Exercise Link Compression|6 Videos

Similar Questions

Explore conceptually related problems

If two non-parallel vectors vecA and vecB are equal in magntiude, them vectors (vecA - vecB) and (vecA + vecB) will be :

The angle between vectors (vecA xx vecB) and (vecB xx vecA) is :

For vectors vecA and vecB , (vecA + vecB). (vecA xx vecB) will be :

If vectors vecA and vecB are such that |vecA+vecB|= |vecA|= |vecB| then |vecA-vecB| may be equated to

If veca and vecb are two vectors such that |veca xx vecb|= veca.vecb , then what is the angle between veca and vecb ?

The vectors vecA and vecB uur are such that | vecA + vecB | =| vecA-vecB |The angle between the two vectors is

If vecA||vecB then vecA xx vecB =……….

Two vectors vecA and vecB are such that vecA+vecB=vecA-vecB . Then

If veca and vecb are non - zero vectors such that |veca + vecb| = |veca - 2vecb| then

GRB PUBLICATION-VECTORS-OBJECTIVE QUESTIONS
  1. A vector vecA is rotated through angle theta about its tail. Chan...

    Text Solution

    |

  2. A particle is moving on a circular path with a constant speed 'v'. ...

    Text Solution

    |

  3. Linear momentum of an object can be expressed as vecP= (4 cos t)ha...

    Text Solution

    |

  4. vecA and vecB are two vectors. (vecA + vecB) xx (vecA - vecB) can...

    Text Solution

    |

  5. Vertices of a triangle are A(3, 1, 2), B(1, -1, 2) and C(2, 1, 1). ...

    Text Solution

    |

  6. A vector remins unchanged on :

    Text Solution

    |

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

    Text Solution

    |

  8. A particle is displaced from a position 2hati-hatj+hatk (m) to another...

    Text Solution

    |

  9. Two vectors vecP and vecQ that are perpendicular to each other are ...

    Text Solution

    |

  10. The angle between the two vectors vecA=5hati+5hatj and vecB=5hati-5hat...

    Text Solution

    |

  11. A paricle starting from the origin (0,0) moves in a straight line in (...

    Text Solution

    |

  12. The sum of two vectors A and B is at right angles to their difference....

    Text Solution

    |

  13. If vecA=2hati+3hatj-hatk and vecB=-hati+3hatj+4hatk then projection of...

    Text Solution

    |

  14. A particle acted upon by constant forces 4hati +hatj- 4 hatk and ...

    Text Solution

    |

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

    Text Solution

    |

  16. The angle subtended by vector vecA = 4 hati + 3hatj + 12hatk with t...

    Text Solution

    |

  17. vecA and vecB are two vectors gives by vecA = 2 hati + 3hatj and ve...

    Text Solution

    |

  18. Given vecC = vecA xx vecB and vecD = vecB xx vecA. What is the angle ...

    Text Solution

    |

  19. The resultant of two vectors vecP andvecQ is vecR. If the magnitude...

    Text Solution

    |

  20. A particle moves in the xy plane under the influence of a force such t...

    Text Solution

    |