Home
Class 12
MATHS
For any three vectors overlinea,overline...

For any three vectors `overlinea,overlinebandoverlinec,(overlinea-overlineb).[(overlineb+overlinec)times(overlinec+overlinea)]` is equal to :

A

`overline2a.(overlinebtimesoverlinee)`

B

`[overlinea overlineboverlinec]`

C

`[overlinea overlineboverlinec]^2`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER-I

    TARGET PUBLICATION|Exercise MCQs|48 Videos
  • PAIR OF STRAIGHT LINES

    TARGET PUBLICATION|Exercise EVALUATION TEST|11 Videos

Similar Questions

Explore conceptually related problems

If overline a,overline b,overline c are vectors of length 4, 4, 5 re-spectively, and overline a,overline b,overline c are perpendicular to overlineb +overline c,c+overlinea, overlinea + overlineb, then |overlinea+overlineb+overlinec|=

For any three vectors overset(to)(a), overset(to)(b) " and " overset(to)(C ) (overset(to)(a) - overset(to)(b)). {(overset(to)(b)-overset(to)(c))xx(overset(to)(c)-overset(to)(a))} = 2overset(to)(a).(overset(to)(b)xx overset(to)(c))

For any three vectors veca, vecb, vecc the vector (vecbxxvecc)xxveca equals

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

For any three vectors vec a, vec b, vec c, (vec a-vec b) * (vec b-vec c) xx (vec c-vec a) is equal to

For any these vectors veca,vecb, vecc the expression (veca-vecb).{(vecb-vecc)xx(vecc-veca)} equals

for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc) xx (vecc -veca) = 2 veca.vecb xx vecc .

For any three vectors veca, vecb and vecc write value of the following veca xx (vecb + vecc) + vecb xx (vecc + veca)+ vecc xx (veca + vecb)

For three vectors overset(to)(u), overset(to)(v) , overset(to)(W) which of the folllowing expressions is not equal to any of the remaining three ?

Write any three properties of vector product of two vectors .

TARGET PUBLICATION-MODEL QUESTION PAPER-II-MCQs
  1. IF sintheta=1/2(a+1/a) then the value of sin 30 is

    Text Solution

    |

  2. The vector parallel to the line of intersection of the planes vecr.(3...

    Text Solution

    |

  3. IF inte^1tan^-1xdx=p,theninte^1tan^-1((1-x)/(1+x))dx=

    Text Solution

    |

  4. IF the equation of the ellipse is x^2/a^2+y^2/b^2=1 thenSP+S'P=

    Text Solution

    |

  5. The length of the perpendicular from P(1,6,3) to the line x/1=(y-1)/(2...

    Text Solution

    |

  6. IF the line (x-1)/2=(y+1)/3=z/4 and origin lie on the plane 4x+4y-kz=0...

    Text Solution

    |

  7. Minimum value of Z=5x+8y subject to x,yge0,xle4yge2and x+yge5 is

    Text Solution

    |

  8. In Delta ABC, if the sides are a=3, b=5 and c=4, then sin ""(B)/(2)+ c...

    Text Solution

    |

  9. Solution of the differential equation sin^(-1)((dy)/(dx))=x+y is

    Text Solution

    |

  10. Find the distance of the point (2,3,4) from the plane vecr.(3hati-6hat...

    Text Solution

    |

  11. The angle between lines represented by the equation 11x^2-24xy+4y^2=0 ...

    Text Solution

    |

  12. IF tan ^(-1) 2x + tan ^(-1) 3x =(pi)/(4) , then x=

    Text Solution

    |

  13. The joint equation of pair of lines having slopes 1 and 3 and passing ...

    Text Solution

    |

  14. IF tanA+cotA=5, then tan^4 A+cot^4 A is equal

    Text Solution

    |

  15. Three numbers whose sum is 15 are in A.P. If they are added by 1,4 and...

    Text Solution

    |

  16. The area of the region bounded by the lines y = mx, x = 1, x = 2 and X...

    Text Solution

    |

  17. int-1^1sin^3xcos^2xdx=

    Text Solution

    |

  18. The area enclosed between the curves y=x and y=2x-x^(2) (in square uni...

    Text Solution

    |

  19. The solution of (dy)/(dx) -y=e^(x) , y(0) = 1 ,is

    Text Solution

    |

  20. For any three vectors overlinea,overlinebandoverlinec,(overlinea-overl...

    Text Solution

    |