Home
Class 12
MATHS
If veca, vecb, vecc are vectors such tha...

If `veca, vecb, vecc` are vectors such that `veca.vecb=0` and `veca + vecb = vecc` then:

A

`|veca|^2+|vecb|^2=|vecc|^2`

B

`|veca|^2=|vecb|^2+|vecc|^2`

C

`|vecb|^2=|veca|^2+|vecc|^2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • UNIT TEST PAPER NO. 5 (CALCULUS)

    MODERN PUBLICATION|Exercise Select the correct answer|25 Videos

  • UNIT TEST PAPER NO.3

    MODERN PUBLICATION|Exercise ASSERTION-REASON & COLUMN MATCHING TYPE QUESTIONS (SECTION-B COLUMN MATCHING TYPE QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

If veca, vecb, vecc are three vectors such that veca + vecb + vecc= vec0 and |veca | =2, |vecb|=3, |vecc| = 5, then value of veca. vecb+vecb.vec c+vec c. veca is :

veca, vecb, vec c are three vectors such that veca + vecb + vec c = vec0, |veca| =1, |vecb| =2, |vec c|=3, then : veca.vecb + vecb .vecc+ vecc.veca is equal to :

Let veca, vecb, vecc be unit vectors such that veca + vecb + vecc = vec0. Which one of the following is correct ?

If veca and vecb are two unit vectors such that veca + 2 vecb and 5 veca - 4 vecb are perpendicular to each other, then the angle between veca and vecb is :

If veca,vecb and vecc are unit vectors such that veca+vecb+vecc=vec0 then angle between veca and vecb is

If veca , vecb, vecc and vecd are unit vectors such that (veca xx vecb). (veccxx vecd) =1 and veca. Vecc= 1/2 then :

If veca, vecb, vecc are three non-coplanar vectors, then [veca+ vecb + vecc veca - vecc veca-vecb] is equal to :

MODERN PUBLICATION-UNIT TEST PAPER NO. 6 (THREE - DIMENSIONAL GEOMETRY, VECTORS & PROBABILITY)-Select the correct answer
  1. P(B)=3/4,P(barAcapBcapbarC)=1/3,P(AcapBcapbarC)=1/3 then P(BcapbarC) :

    Text Solution

    |

  2. The mean and the variance of a binomial distribution are 4 and 2 respe...

    Text Solution

    |

  3. Let veca=2hati+hatj-2hatk and vecb=hati+hatj. If vecc is a vector such...

    Text Solution

    |

  4. s. Given two vectors are i- j and i+ 2j the unit,vector coplanar with ...

    Text Solution

    |

  5. The unit vector which is orthgonal to the vector veca=3hati+2hatj+6hat...

    Text Solution

    |

  6. Let veca,vecb,vecc be the three vectors such that veca.(vecb+vecc)+ve...

    Text Solution

    |

  7. The pair of lines whose direction cosines are given by : 3l+m+5n=0,6...

    Text Solution

    |

  8. The length of the perpendicular from P(1,0,2) on the line (x+1)/(3)=(y...

    Text Solution

    |

  9. The lines whose vector equations are : vecr=veca+tvecb,vecr=vecc+t'v...

    Text Solution

    |

  10. If from each of the three boxes containing 3 white and 1 black, 2 whit...

    Text Solution

    |

  11. Five horses are in a race. Mr. A selects two of the horses at random ...

    Text Solution

    |

  12. The probability of India winning a test match against West Indies i...

    Text Solution

    |

  13. The probability that A speaks truth is (4)/(5), while this probability...

    Text Solution

    |

  14. If E and F are events with P(E) le P(F) and P(E cap F) gt 0, then :

    Text Solution

    |

  15. If vecE and vecF are complementary events of events E and F respective...

    Text Solution

    |

  16. If veca, vecb, vecc are vectors such that veca.vecb=0 and veca + vecb ...

    Text Solution

    |

  17. If veca satisfies vecaxx(hati+2hatj+hatk)=hati-hatk" then " veca is eq...

    Text Solution

    |

  18. If veca, vecb, vecc are non-coplanar unit vectors such that vecaxx(vec...

    Text Solution

    |

  19. Two system of rectangular axes have the same origin. If a plane cuts t...

    Text Solution

    |

  20. Dialing a telephone number, a man forgot the last two digits and remem...

    Text Solution

    |