Home
Class 12
MATHS
If a be a non-zero vector, then which of...

If a be a non-zero vector, then which of the following is correct ?

A

`a.a =0`

B

`a.a gt 0`

C

`a.a ge 0`

D

`a.a le 0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Self Assessment Test (Assertion/Reason )|1 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Self Assessment Test (Comprehension)|3 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (4) (MULTIPLE CHOICE QUESTIONS) |8 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

a, b, c, d are non-zero integers such that (ab) divides (cd). If a and c are coprime, then which one of the following is correct?

If veca, vecb, vecc are three non-zero vectors, then which of the following statement(s) is/are true?

If y = kx^(2) where k is positive non-zero constant, then which of the following graphs is/are correct ?

For a non-zero integer a which of the following is not defined?

For a hypothetical gas containing molecules as point masses and having non-zero intermolecular attractions, which of the following is correct?

Given three vectors veca, vecb and vecc are non-zero and non-coplanar vectors. Then which of the following are coplanar.

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Self Assessment Test (MULTIPLE CHOICE QUESTIONS)
  1. If the position vector of a point A is vec a + 2 vec b and vec a divi...

    Text Solution

    |

  2. theta is the angle between two vectors a and b then a. b le 0 only if

    Text Solution

    |

  3. If a be a non-zero vector, then which of the following is correct ?

    Text Solution

    |

  4. a and b are two non-zero vectors, then ( a + b). (a-b) is equal to

    Text Solution

    |

  5. a.b =0 implies only

    Text Solution

    |

  6. If a, b, c be three non-zero vectors, then the equation a. b = a. c ...

    Text Solution

    |

  7. If a and b include an angle of 120^(@) and their magnitudes are 2 and ...

    Text Solution

    |

  8. If [I, j, k] be a set of orthogonal unit vectors, then fill up the bla...

    Text Solution

    |

  9. If theta be the angle between the vectors 4(i-k) and i+j+k, then theta...

    Text Solution

    |

  10. If theta be the angle between the vectors i+jandj+k, then theta is

    Text Solution

    |

  11. The angle between the vectors 2i+3j+k and 2i-j-k is

    Text Solution

    |

  12. If a and b are two unit vectors, then a xx b is a unit vector if ........

    Text Solution

    |

  13. If [ i,j,k] be orthogonal set of unit vectors, then fill in the blanks...

    Text Solution

    |

  14. [abc] is the scalar triple product of three vectors a, b and c then [a...

    Text Solution

    |

  15. If theta is the angle between vectors a and b, then |a xx b| = | a.b|,...

    Text Solution

    |

  16. a xx (b xx c) is equal to

    Text Solution

    |

  17. u = a xx (b xx c) + b xx (c xx a) + c xx (a xxb) then

    Text Solution

    |

  18. If a = 4i + 2j-5k, b =-12i-6j+15k, then the vectors a, b are

    Text Solution

    |

  19. If the position vector of three points are a - 2b + 3c, 2a + 3b - 4c, ...

    Text Solution

    |

  20. If a + b + c = 0, |a| = 3, |b| = 5, |c| = 7, then the angle between a ...

    Text Solution

    |