Home
Class 12
MATHS
If the vectors veca and vecb are mutuall...

If the vectors `veca` and `vecb` are mutually perpendicular, then `veca xx {veca xx {veca xx {veca xx vecb}}` is equal to:

A

`vec0`

B

`1/2 |veca|^4vecb`

C

`veca xx vecb`

D

`|veca|^4 vecb`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise SECTION-B|50 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - A)|20 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

If veca and vecb are two unit vectors inclined at an angle pi//3 then { veca xx (vecb+veca xx vecb)} .vecb is equal to

Resolved part of vector veca and along vector vecb " is " veca1 and that prependicular to vecb " is " veca2 then veca1 xx veca2 is equl to

If veca is parallel to vecb xx vecc, then (veca xx vecb) .(veca xx vecc) is equal to

If |veca|=2, |vecb|=5 and veca*vecb=0 , then veca xx (vecaxx(vecaxx(vecaxx(vecaxx(veca xx vecb))))) is equal to :

If veca, vecb are the unit vectors such that veca + 2vecb + 2vecc=0 , then |veca xx vecc| is equal to:

If veca xx (vecb xx vecc) is perpendicular to (veca xx vecb) xx vecc , then we may have:

Let veca and vecb be unit vectors that are perpendicular to each other l. then [veca+ (veca xx vecb) vecb + (veca xx vecb) veca xx vecb] will always be equal to

Let veca, vecb and vecc are three mutually perpendicular unit vectors and a unit vector vecr satisfying the equation (vecb -vecc)xx(vecr xx veca)+(vecc -veca)xx(vecr xx vecb)+(veca-vecb)xx(vecr xx vecc)=0, then vecr is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-SECTION-A
  1. The statement A to (B to A) is equivalent to :

    Text Solution

    |

  2. If Rolle's theorem holds for the function f(x)=x^(3)-ax^(2)+bx-4, x in...

    Text Solution

    |

  3. If the vectors veca and vecb are mutually perpendicular, then veca xx ...

    Text Solution

    |

  4. A fair coin is tossed fixed times. The probability of getting 7 heads ...

    Text Solution

    |

  5. A is 2xx2 symmetric such that trace of A^2 is 1.How many such matrices...

    Text Solution

    |

  6. In a increasing geometric series, the sum of the second and the sixth ...

    Text Solution

    |

  7. The value of sum(n=1)^100 int(n-1)^n e^(x-[x])dx =

    Text Solution

    |

  8. In the circle given below . Let OA = 1 unit , OB = 13 unit and...

    Text Solution

    |

  9. Sum of series 1+2/3+7/3^2+12/3^3 + . . . . . oo

    Text Solution

    |

  10. lim(hrarr0)2((sqrt3Sin(h+pi/6)-Cos(h+pi/6))/(h(sqrt3Cosh-Sinh)))

    Text Solution

    |

  11. Find maximum value of term independent of "t" in (tx^(1/5) + (1-x)^(1/...

    Text Solution

    |

  12. Growth of bacteria is directly proportional to number of bacteria . At...

    Text Solution

    |

  13. If (1,5,35 ),( 7,5,5),( 1, lamda ,7) and ( 2 lamda ,1,2) are coplan...

    Text Solution

    |

  14. Sin^-1x/a=Cos^-1x/b=tan^-1y/c value of cos((pic)/(a+b))

    Text Solution

    |

  15. The number of seven digit integers, with sum of the digits equal to 10...

    Text Solution

    |

  16. Let f be any function defined on R and let it satisfy the condition : ...

    Text Solution

    |

  17. y=1/2x^4-5x^3+18x^2-19x what will be max. value of slope at

    Text Solution

    |

  18. The intersection of three lines x-y=0 ,x +2y =3 and 2x +y=6 ...

    Text Solution

    |

  19. Consider the three planes P1 :3x +15 y +21 z=9, P2 :x - 3y ...

    Text Solution

    |

  20. The value of |((a+1)(a+2),a+2,1),((a+2)(a+3),a+3,1),((a+3)(a+4),a+4,1...

    Text Solution

    |