Home
Class 12
MATHS
If vec a , vec ba n d vec c are unit co...

If ` vec a , vec ba n d vec c` are unit coplanar vectors, then the scalar triple product `[2 vec a- vec b2 vec b- vec c2 vec c- vec a]` is `0` b. `1` c. `-sqrt(3)` d. `sqrt(3)`

A

0

B

1

C

`-sqrt(3)`

D

`sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (3) (TRUE AND FALSE) |3 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (3) (FILL IN THE BLANKS) |8 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

If vec a,vec b and vec c are unit coplanar vectors, then the scalar triple product [2vec a-vec b2vec b-vec c2vec c-vec a] is 0 b.1 c.-sqrt(3)d.sqrt(3)

If vec a,vec b, and vec c are three mutually orthogonal unit vectors,then the triple product [vec a+vec b+vec cvec a+vec bvec b+vec c] equals 0 b.1 or -1 c.1d.3

If vec a,vec b, and vec c are unit vectors such that vec a+vec b+vec c=0, then find the value of vec a*vec b+vec b*vec c+vec c*vec a

The scalar triple product [vec a + vec b-vec cquad vec b + vec c-vec aquad vec c + vec a-vec b is equal to

If |veca| = 1, |vec b| = 2, |vec c| = 3 and vec a +vec b +vec c = 0 , then the value of vec a * vec b +vec b. vec c +vec c* vec a equals

If vec a,vec b,vec c are unit vectors such that vec a+vec b+vec c=vec 0, then write the value of vec a*vec b+vec b*vec c+vec c*vec a

If vec a , vec ba n d vec c are three non coplanar vectors, then prove that vec d=( vec adot vec d)/([ vec a vec b vec c])( vec bxx vec c)+( vec bdot vec d)/([ vec a vec b vec c])( vec cxx vec a)+( vec cdot vec d)/([ vec a vec b vec c])( vec axx vec b)

If vec a,vec b,vec c are non coplanar vectors,prove that the following vectors are non coplanar: 2vec a-vec b+3vec c,vec a+vec b-2vec c and vec a+vec b-3vec c

If vec a , vec b , vec c are three non coplanar vectors such that vec ddot vec a= vec ddot vec b= vec ddot vec c=0, then show that d is the null vector.

vec a xxvec b=vec b xxvec c!=0, where vec a,vec b, and vec c are coplanar vectors,then for some scalar k prove that vec a+vec c=kvec b

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If a, b and c three non-coplanar vectors, then (a + b +c). [a+b) xx (a...

    Text Solution

    |

  2. If vec u , vec va n d vec w are three non-cop0lanar vectors, then ...

    Text Solution

    |

  3. If vec a , vec ba n d vec c are unit coplanar vectors, then the sc...

    Text Solution

    |

  4. If a,b,c ar enon-coplanar vectors and lamda is a real number, then the...

    Text Solution

    |

  5. If bara,barb,barc are non-coplanar vectors and lambda is a real number...

    Text Solution

    |

  6. The resultant of two forces P N and 3 N is a force of 7 N. If the d...

    Text Solution

    |

  7. a =hati+hatj-hatk,b= hati-2hatj+hatk,c=hati-hatj-hatk, then a vector i...

    Text Solution

    |

  8. Let a =i-j,b=j-k,c=k-i. If d is a unit vector such that a.d =0 = [vecb...

    Text Solution

    |

  9. x,y,z are distinct scalars such that [xa+yb+zc, xb+yc+za, xc+ya+zb] =0...

    Text Solution

    |

  10. If l,j,k are the usual three perpendicular unit vectors then the val...

    Text Solution

    |

  11. Write the value of hat idot( hat jxx hat k)+ hat jdot( hat kxx hat i)...

    Text Solution

    |

  12. If a =i+j-k,b=i-j+k andc=i-j-k then axx(bxxc) =

    Text Solution

    |

  13. If a,b,c be three non-coplanar vectors, then (i) [a-b,b-c,c-a]=

    Text Solution

    |

  14. If A, B, C are three points with position vectors i+j,i-j and p.i+qj+...

    Text Solution

    |

  15. If a = i +j + k, b = 4i + 3j + 4k and c = i + alphaj + betak are linea...

    Text Solution

    |

  16. If a.b = b.c = c.a = 0, then a.(bxxc)=

    Text Solution

    |

  17. For non-coplanar vectors a, b and c, abs((a times b)*c)=abs(a) abs(b) ...

    Text Solution

    |

  18. If x=3i-6j-k, y=i+4j-3k" and "z=3i-4j-12k, then the magnitude of the p...

    Text Solution

    |

  19. IF a,b,c are non-coplanar vectors, then |{:(a.a,,a.b.,,a.c),(b.a,,b....

    Text Solution

    |

  20. a,b,c are unit vectors such that aand b are mutualy perpendicular and ...

    Text Solution

    |