Home
Class 12
MATHS
If veca, vecb, vecc are three non-zero v...

If `veca, vecb, vecc` are three non-zero vector such that each one of then is perpendicular to the sum of the other two vectors, then the value of `|veca+vecb+vecc|^(2)` is :

A

`(5)/(sqrt(2))`

B

`(2)/(sqrt(5))`

C

`5sqrt(2)`

D

`sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • K-CET-MATHEMATICS-2015

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|60 Videos

  • P.U .BOARD LATEST MODEL QUESTION PAPER - 2

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos

Similar Questions

Explore conceptually related problems

If veca , vecb,vecc are three non zero vectors such that each one of then is perpendicular to the sum of the other two vectors then the value of |veca+vecb+vecc|^(2) is

If the non-zero vectors veca and vecb are perpendicular to each other, then the solution of the equation vecr xx veca = vecb is :

Let veca, vecb and vecc be three non-zero vectors such that no two of these are collinear.If the vector veca + 2 vecb is collinear with vecc and vecb +3 vecc is collinear with veca (lamda being some non-zero scalar), then veca + 2 vecb + 6 vecc equals:

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 a = 3, b = 4, c = 5 each one of veca, vecb & vecc is perpendicular to the sum of the remaining then |veca + vecb + vecc| is equal to

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

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 :

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

Let veca, vecb and vecc be non-zero vectors such that (veca xx vecb) xx vecc=1/3|vecb||vecc|veca. If theta is the acute angle between the vectors vecb and vecc, then sin theta equals.

Let veca, vecb, and vecc be three non-zero vectors such that no two of them are colinear and (veca xx vecb) xx vecc=1/3 |vecb||vecc|veca. If theta is the angle between the vectors vecb and vecc, then a value of sin theta is :

SUNSTAR PUBLICATION-K-CET-MATHEMATICS-2016-MULTIPLE CHOICE QUESTIONS
  1. The 11^(th) term in the expansion of (x+(1)/(sqrt(x)))^(14) is

    Text Solution

    |

  2. Suppose veca + vecb + vecc = 0, |veca| = 3, |vecb| = 5, |vecc| = 7, th...

    Text Solution

    |

  3. If veca, vecb, vecc are three non-zero vector such that each one of th...

    Text Solution

    |

  4. If the straight lines 2x+3y-3=0 and x+ky+7=0 are perpendicular, then t...

    Text Solution

    |

  5. The rate of change of area of a circle with respect to its radius at r...

    Text Solution

    |

  6. Find the value of tan ""pi/8.

    Text Solution

    |

  7. Area lying between the curves y^(2)=2x and y=x is

    Text Solution

    |

  8. If P(AnnB)=7//10andP(B)=17//20, where P stands for probability then P(...

    Text Solution

    |

  9. The coefficient of variation of two distribution are 60 and 70. The st...

    Text Solution

    |

  10. Two cards are drawn at randrom from a pack of 52 cards. The probabilit...

    Text Solution

    |

  11. If sin^(-1)x+sin^(-1)y=(pi)/(2), then x^(2) is equal to

    Text Solution

    |

  12. The value of int(2)^(8)(sqrt(10-x))/(sqrt(x)+sqrt(10-x))dx is

    Text Solution

    |

  13. Write the contrapositive and converse of the following statements. I...

    Text Solution

    |

  14. Two dice are thrown simultaneously. The probability of obtaining a tot...

    Text Solution

    |

  15. If A=[(cos alpha, -sin alpha),(sin alpha, cos alpha)], and A+A'=I, the...

    Text Solution

    |

  16. IF A = [{:(3,,1),(-1,,2):}] then A^(2) -5A is equal to

    Text Solution

    |

  17. Find a value of "x"for which x( hati + hatj+ hatk) is a uni...

    Text Solution

    |

  18. If x=2+3costheta and y=1-3sintheta represent a circle then the centre ...

    Text Solution

    |

  19. The vector equation of the plane which is at a distance of 3//sqrt(14)...

    Text Solution

    |

  20. Find the co-ordinates of the foot of the perpendicular drawn from the ...

    Text Solution

    |