Home
Class 11
PHYSICS
If vec(a(1)) and vec(a(2))are two non-c...

If `vec(a_(1)) and vec(a_(2))`are two non-collinear unit vectors and if `|vec(a_(1)) + vec(a_(2))|=sqrt(3)`, then the value of `(vec(a_(1))-vec(a_(2))). (2 vec(a_(1))+vec(a_(2)))` is :

A

`2`

B

`3//2`

C

`1//2`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DESCRIPTION OF MOTION

    ANURAG MISHRA|Exercise Level-2|25 Videos
  • DESCRIPTION OF MOTION

    ANURAG MISHRA|Exercise Level-3|34 Videos
  • DESCRIPTION OF MOTION

    ANURAG MISHRA|Exercise Example|127 Videos
  • FORCE ANALYSIS

    ANURAG MISHRA|Exercise Matching type|13 Videos

Similar Questions

Explore conceptually related problems

If vec A_(1) and vec A_(2) are two non-collinear unit vectors and if |vec A_(1)+vec A_(2)|=sqrt(3) then the value of (vec A_(1)-vec A_(2))*(2vec A_(1)+vec A_(2)) is

If a_(1) and a_(2) aare two non- collineaar unit vectors and if |a_(1)+a_(2)|=sqrt(3), ,then value of (a_(1)-a_(2)).(2a_(1)-a_(2)) is

If vec a_(1) and vec a_(2) are two non collinear unit vectors inclined at 60^(0) to each other than the value of (vec a_(1)-vec a_(2))*(2vec a_(1)+vec a_(2)) is

Consider the equations of the straight lines given by : L_(1) : vec(r) = (hati + 2 hatj + hatk ) + lambda ( hati - hatj + hatk) L_(2) : vec(r) = (2 hati - hatj - hatk) + mu ( 2 hati + hatj + 2 hatk) . If vec(a_(1))= hati + 2 hatj + hatk, " " vec(b_(1)) = hati - hatj + hatk , vec(a_(2)) = 2 hat(i) - hatj - hatk, vec(b_(2)) = 2 hati + hatj + 2 hatk , then find : (i) vec(a_(2)) - vec(a_(1)) " " (ii) vec(b_(2)) - vec(b_(1)) (iii) vec(b_(1))xx vec(b_(2)) " " (iv) vec(a_(1)) xx vec(a_(2)) (v) (vec(b_(1)) xx vec(b_(2))).(vec(a_(1)) xxvec(a_(2))) (vi) the shortest distance between L_(1) and L_(2) .

If vec(a_(1)),vec(a_(2)),vec(a_(3)) and vec(b_(1)), vec(b_(2)),vec(b_(3)) be two sets of non - coplanar vectors, such that vec(a_(p)).vec(b_(q))={{:(0,"if",pneq),(4,"if",p=q):}" for "p=1,2,3 and q=1,2,3 , then the value of [vec(a_(1))2vec(a_(2))3vec(a_(3))][(vec(b_(1))+vec(b_(2)),vec(b_(2))+vec(b_(3)),vec(b_(3)),vec(b_(3))+vec(b_(1)))] is equal to

The base vectors vec a_ (1), vec a_ (2), vec a_ (3) are given in terms vectors vec b_ (1), vec b_ (2), vec b_ (3) vec a_ (1) = 2vec b_ (1) + 3vec b_ (1) -vec b_ (1), vec a_ (2) = vec a_ (1) -2vec b_ (2) + 2vec b_ (3), vec a_ (3) = - 2vec b_ ( 1) + vec b_ (2) -2vec b_ (3) if vec F_ (1) = 3vec b_ (1) -vec b_ (2) + 2vec b_ (3), Express vec F in terms of vec a_ (1) , vec a_ (2), vec a_ (3)

A_(1) and A_(2) are two vectors such that |A_(1)| = 3 , |A_(2)| = 5 and |A_(1)+A_(2)| = 5 the value of (2A_(1)+3A_(2)).(2A_(1)-2A_(2)) is

If a_(i)gt0 for i u=1, 2, 3, … ,n and a_(1)a_(2)…a_(n)=1, then the minimum value of (1+a_(1))(1+a_(2))…(1+a_(n)) , is

If bar(A_(1))bar(B) and bar( C ) are three non-coplanar voctors, then (vec(B).(vec(A)xx vec( C )))/((vec( C )xx vec(A)).vec(B))+(vec(B).(vec(A)xx vec( C )))/(vec( C ).(vec(A)xx vec(B))) is equal to

ANURAG MISHRA-DESCRIPTION OF MOTION-Level-1
  1. The velocity of a particle varies with time as per the law vec(v)=vec...

    Text Solution

    |

  2. A plane is inclined at an angle 30^(@) with horizontal. The component ...

    Text Solution

    |

  3. If vec(a(1)) and vec(a(2))are two non-collinear unit vectors and if |...

    Text Solution

    |

  4. If vec(A)=vec(B)+vec(C) and the magnitude of vec(A), vec(B) and vec(C...

    Text Solution

    |

  5. The sum of two forces at a point is 16N. if their resultant is normal...

    Text Solution

    |

  6. What is the component of 3 hat(i) +4 hat(j) "along" hat(i)+hat(j):

    Text Solution

    |

  7. At what angle the vector (vec(A)+vec(B)) and (vec(A)-vec(B)) must act,...

    Text Solution

    |

  8. The resultant of vec(A) and vec(B) is perpendicular to vec(A). What is...

    Text Solution

    |

  9. A particle moves through angular displacement theta on a circular pat...

    Text Solution

    |

  10. If a vector vec(A) makes an angle alpha , beta and gamma with X,Y a...

    Text Solution

    |

  11. The X and Y - component of vec (p) are 7hat(i) and 6hat(j). Also , t...

    Text Solution

    |

  12. Two vector vec(A)=2 hat(i) +3hat(j)-4hat(k) and vec(B)=4hat(i) + 8hat(...

    Text Solution

    |

  13. Two vector vec(A)=3hat(i) +8 hat(j) -2hat(k) and vec(B)=6hat(i)+16 hat...

    Text Solution

    |

  14. A blind person after Walking 10 steps in one direction, each of length...

    Text Solution

    |

  15. Two vectors vec(A) and vec(B) have magnitudes 2 and 2sqrt(2) respectiv...

    Text Solution

    |

  16. If the resultant of two vectors having magnitudes of 7 and 4 is 3, the...

    Text Solution

    |

  17. The adjacent sides of a parallelogram is represented by vectors 2hat(i...

    Text Solution

    |

  18. The maximum magnitude of cross product of two vectors is 12 units and ...

    Text Solution

    |

  19. Six forces are acting on a particle. Angle between two adjacent force ...

    Text Solution

    |

  20. The quantity int(t(1))^(t(2)) vec(V)dt represents:

    Text Solution

    |