Home
Class 12
MATHS
Four non zero vectors will always be ...

Four non zero vectors will always be a. linearly dependent b. linearly independent c. either a or b d. none of these

A

linearly dependent

B

linearly independent

C

either (a) or (b)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Four or more than four non-zero vectors are always linearly dependent.
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|7 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|3 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 3|11 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

The vectors hati+hatj, hatj+hatk and hatk+hati are (a). Linearly dependent (b). Linearly independent (c). Right angled triangle (d). none of these.

Linear combination OF vector || Linearly dependent vectors || Linearly independent vectors || Theorem in space || Condition OF coplanar OF 4 point || Reciprocal system OF vectors

Collinearity OF Vectors|| Vector Equation OF Bisector Lines|| Linear Combination|| Linearly Independent || Linearly Dependent|| Condition to check Coplanarity

Examine whether the following vectors from a linearly dependent or independent set of vector: veca-3vecb+2vecc, vec-9vecb-vecc,3a+2vecb-vecc whre veca,vecb,vecc are non zero non coplanar vectors

IF barx and bary non zero linearly independent vectors such that |barx + bary|=|barx -bary| then

ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
  1. If the vectors 3hati+2hatj-hatk and 6hati-4xhatj+yhatk are parallel, t...

    Text Solution

    |

  2. Theorem 1: If a and b are two non collinear vectors; then every vector...

    Text Solution

    |

  3. Four non zero vectors will always be a. linearly dependent b. linea...

    Text Solution

    |

  4. The vectors a,b and a+b are

    Text Solution

    |

  5. Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...

    Text Solution

    |

  6. The number of integral values of p for which (p+1) hati-3hatj+phatk, p...

    Text Solution

    |

  7. The vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are the ...

    Text Solution

    |

  8. In the figure, a vectors x satisfies the equation x-w=v. then, x is eq...

    Text Solution

    |

  9. Vectors veca = hati+2hatj+3hatk, vec b = 2hati-hatj+hatk and vecc= 3ha...

    Text Solution

    |

  10. If OP=8 and OP makes angles 45^(@) and 60^(@) with OX-axis and OY-axis...

    Text Solution

    |

  11. Let a,b and c be three unit vectors such that 3a+4b+5c=0. Then which o...

    Text Solution

    |

  12. If A, B, C, D and E are five coplanar points, then the value of bar(D...

    Text Solution

    |

  13. If the vectors vec a and vec bare linearly independent and satisfying ...

    Text Solution

    |

  14. The unit vector bisecting vec(OY) and vec(OZ) is

    Text Solution

    |

  15. A line passes through the points whose position vectors are hati+hatj-...

    Text Solution

    |

  16. If D, E and F be the middle points of the sides BC,CA and AB of the De...

    Text Solution

    |

  17. If P and Q are the middle points of the sides BC and CD of the paralle...

    Text Solution

    |

  18. If the figure formed by the four points hati+hatj-hatk,2hati+3hatj,3ha...

    Text Solution

    |

  19. A and B are two points. The position vector of A is 6b-2a. A point P ...

    Text Solution

    |

  20. If three points A,B and C are collinear, whose position vectors are ha...

    Text Solution

    |