Home
Class 12
MATHS
If the vector product of a constant v...

If the vector product of a constant vector ` vec O A` with a variable vector ` vec O B` in a fixed plane `O A B` be a constant vector, then the locus of `B` is a straight line perpendicular to ` vec O A` b. a circle with centre `O` and radius equal to `| vec O A|` c. a straight line parallel to ` vec O A` d. none of these

A

a straight line perpendicular to OA

B

a circle with centre O radius equal to |OA|

C

a straight line parallel to OA

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 1|13 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 2|19 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

If the vector product of a constant vector vec OA with a variable vector vec OB in a fixed plane OAB be a constant vector,then the locus of B is a.a straight line perpendicular to vec OA b.a circle with centre O and radius equal to |vec OA| c.a straight line parallel to vec OA d.none of these

Vector component of vector vec b perpendicular to vec a is

The vector product of two vectors vec A and vec B is zero. The scalar product of vec A and (vec A + vec B) will be

If vec a,vec b,vec c are position vector of vertices of a triangle ABC,then unit vector perpendicular to its plane is

If a vector vec a is perpendicular to two non- collinear vector vec b and vec c ,then vec a is perpendicular to every vector in the plane of vec b and vec c.

If a vector vec a is perpendicular to two non coplasnar vectors vec b and vec c ,then vec a is perpendicular to every vector in the plane of vec b and vec .

The vectors vec(a) and vec(b) are perpendicular if :

The resultant of two vectors vec A and vec B is perpendicular to the vector vec A and its magnitude is equal to half the magnitude of vector vec B . What is the angle between vec A and vec B ?

The vector component of vec b perpendicular to vec a is ( vec bdot vec c) vec a b. ( vec axx( vec bxx vec a))/(| vec a|^2) c. vec axx( vec bxx vec a) d. none of these

If vec a + vec b + vec c = o, prove that vec a xxvec b = vec b xxvec c = vec c xxvec a

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If the vector product of a constant vector vec O A with a variable...

    Text Solution

    |

  2. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

    Text Solution

    |

  3. Let O be the origin and OX, OY, OZ be three unit vectors in the direct...

    Text Solution

    |

  4. Let O be the origin, and O X , O Y , O Z be three unit vectors ...

    Text Solution

    |

  5. Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...

    Text Solution

    |

  6. Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no ...

    Text Solution

    |

  7. If a, b and c are unit vectors satisfying |a-b|^(2)+|b-c|^(2)+|c-a|^(2...

    Text Solution

    |

  8. The vector(s) which is/are coplanar with vectors hat(i)+hat(j)+2hat(k)...

    Text Solution

    |

  9. Let vec a =hat i+hat j+hat k,vec b=hat i -hat j+hat k and vec c =hat ...

    Text Solution

    |

  10. Two adjacent sides of a parallelogram ABCD are given by vec(AB)=2hati+...

    Text Solution

    |

  11. Let P, Q, R and S be the points on the plane with position vectors -2h...

    Text Solution

    |

  12. If a and b are vectors in space given by a=(hat(i)-2hat(j))/(sqrt(5)) ...

    Text Solution

    |

  13. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...

    Text Solution

    |

  14. The edges of a parallelopiped are of unit length and are parallel to ...

    Text Solution

    |

  15. Lelt two non collinear unit vectors hata and hatb form and acute angle...

    Text Solution

    |

  16. Let the vectors PQ, QR, RS, ST, TU and UP represent the sides of a reg...

    Text Solution

    |

  17. The number of distinct real values of lambda, for which the vectors -l...

    Text Solution

    |

  18. Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...

    Text Solution

    |

  19. Let A be vector parallel to line of intersection of planes P1 and P2. ...

    Text Solution

    |

  20. Let a=hat(i)+2hat(j)+hat(k), b=hat(i)-hat(j)+hat(k), c=hat(i)+hat(j)-h...

    Text Solution

    |

  21. If vec a , vec b and vec c are three non-zero, non coplanar vecto...

    Text Solution

    |