Home
Class 12
MATHS
Volume of parallelepiped determined by v...

Volume of parallelepiped determined by vectors `bara,barb` and `barc` is 5.
Then the volume of the parallelepiped determined by the vectors `3(bara +barb). (barb + barc)` and 2(`barc + bara)` is

A

`3(bara+barb),(barb+barc)` and `(barc+bara)` is 24

B

`2(baraxxbarb),3(barbxxbarc)` and `(barcxxbara)` is 24

C

`(bara-2barb),(barb-2barc)` and `(barc-2bara)` is 14

D

`3(bara-barb),(3barb-barc)` and `(3barc-bara)` is 52

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

  • TIPS

    FIITJEE|Exercise NUERICAL DECIMAL BASED QUATIONS|20 Videos

Similar Questions

Explore conceptually related problems

Volume of parallelopiped determined by vectors bara and barb and barc is 2. Then the volume of the parallelepiped determined by vectors 2 (bara xx barb), 3 (barb xx barc) and (barc xx bara) is

If [barabarb barc] = 3 , then the volume (in cu. u.) of the parallelepiped with 2bara + barb, 2barb + barc and 2barc + bara as coterminus edges is

The value of (bara-barb).[(barb-barc)xx(barc-bara)] is

(bara+barb).(barb+barc)xx(bara+barb+barc)=

IF bara times barb = barc and barb times barc=bara then

The volume of parallelopiped with vector bara+2barb-barc,bara-barb and bara-barb-barc is equal to k[bar(a)bar(b)bar(c)] then k=

For any vectors bara,barb,barc correct statement is

For any three vectors bara,barb and barc,(bara-barb)[(barb+barc)xx(barc+bara)] is equal to:

(3bara xx 2barb)·barc + (3barb xx 2barc)·bara + (4barc xx 3barb)·bara =

FIITJEE-TEST PAPERS-MATHEMATICS
  1. How many matrices X with entries {0,1,2} are there for which sum of di...

    Text Solution

    |

  2. If alpha and beta are roots of equation 3/4"sin"((theta)/9)=sin^(3)the...

    Text Solution

    |

  3. Volume of parallelepiped determined by vectors bara,barb and barc is 5...

    Text Solution

    |

  4. If a point P is taken on xy=2 and then a normal is drawn from P on the...

    Text Solution

    |

  5. A circle S having centre (alpha, beta) intersect at three points A, B ...

    Text Solution

    |

  6. If f(x)=||x-1|+|x-3|-|2x-1||+||x-1|+|x-3|+|2x-1||, then

    Text Solution

    |

  7. If intcos2018xsin^(2016)x dx=f(x)+c, where f(0)=0, then

    Text Solution

    |

  8. In a /\ABC if a^(2)-b^(2)-c^(2)+(x-2)bc=0 then x be equal to

    Text Solution

    |

  9. If f(x)={b^(2)+(a-1)b+2}x-int(sin^(2)x+cos^(4)x)dx be an increasing fu...

    Text Solution

    |

  10. Let f(x) be a continuous function which takes positive values for xge0...

    Text Solution

    |

  11. If x+y=3 is tangent at (2,1) on hyperbola, intersects asymptotes at A ...

    Text Solution

    |

  12. If x^(2)+y^(2)=16 is director circle of locus of centre of a moving el...

    Text Solution

    |

  13. If theta is acute angle of intersect between two curves x^(2)+5y^(2)=6...

    Text Solution

    |

  14. If 8 harmonic means are inserted between two numbes a and b (altb) suc...

    Text Solution

    |

  15. If f(x)=sum(i=1)^(oo) x/({(i-1)x+1}(ix+1)), then f(2017)+f(1/2017) is ...

    Text Solution

    |

  16. If tangent is drawn at (x(1), y(1)) on the hyperbola (x^(2))/4-(y^(2))...

    Text Solution

    |

  17. If int(0)^(x)((t^(3)+t)dt)/((1+3t^(2)))=f(x), then int(0)^(1)f^(')(x) ...

    Text Solution

    |

  18. If y=f(x) is solution of differentiable equation (dy)/(dx)=y/x((1-3x^(...

    Text Solution

    |

  19. If 5x(1+ 1/(x^(2)+y^(2)))=12 and 5y(1- 1/(x^(2)+y^(2)))=4 AAx,yepsilon...

    Text Solution

    |

  20. If a tangent on ellipse at A(1,1) intersect its directrix at B(7,-6) a...

    Text Solution

    |