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

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 ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|7 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|3 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS ENGLISH|Exercise VECTOR ALGEBRA EXERCISES 1: Single Option Correct Type Questions|1 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

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

Similar Questions

Explore conceptually related problems

If vecA and vecB are non-zero vectors which obey the relation |vecA+vecB|=|vecA-vecB|, then the angle between them is

If a ,ba n dc are three non-cop0lanar vector, non-zero vectors then the value of ( veca . veca ) vecb × vecc +( veca . vecb ) vecc × veca +( veca . vecc ) veca × vecb .

For non-zero vectors veca, vecb and vecc , |(veca xx vecb) .vecc = |veca||vecb||vecc| holds if and only if

Let vecr, veca, vecb and vecc be four non-zero vectors such that vecr.veca=0, |vecrxxvecb|=|vecr||vecb|,|vecrxxvecc|=|vecr||vecc| then [(veca, vecb, vecc)]=

For any two non zero vectors write the value of (| vec a+ vec b|^2+| vec a- vec b|^2)/(| vec a|^2+ | vec b"|^2)

The formula (veca+vecb)^(2)=vec(a^(2))+vec(b^(2))+2vecaxxvecb is valid for non-zero vectors vecaandvecb .

Is it possible that two non - zero vectors multiply and give a zero result ?

If a, b and c be the three non-zero vectors satisfying the condition atimesb=c and btimesc=a , then which of the following always hold(s) good?

For a non-zero vector a, the set of real number, satisfying |(5-x)a|lt|2a| consists of all x such that

If veca, vecb, vecc are three non-zero vectors such that veca + vecb + vecc=0 and m = veca.vecb + vecb.vecc + vecc.veca , then:

ARIHANT MATHS ENGLISH-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. If a and b are two non collinear vectors; then every vector r coplanar...

    Text Solution

    |

  3. Four non-zero vectors will always be

    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. If vectors vec(AB) = -3hati+ 4hatk and vec(AC) = 5hati -2hatj+4hatk ar...

    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 vec(DA) + vec( DB) + v...

    Text Solution

    |

  13. If the vectors veca and vecb are linearly independent satisfying (sqrt...

    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

    |