Home
Class 12
MATHS
veca xx [(vecr-vecb)xxveca]+vecb xx [(ve...

`veca xx [(vecr-vecb)xxveca]+vecb xx [(vecr-vecc)xxvecb]+vecc xx [(vecr-veca)xxvecc]=0 and veca , vecb and vecc` are unit vector mutually perpendicular to each other then the `vecr` is :

A

`(veca-vecb-vecc)/2`

B

`(veca-vecb+vecc)/2`

C

`(veca+vecb+vecc)/2`

D

`(veca+vecb-vecc)/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

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

If (veca xx vecb) xx vecc = veca xx (vecb xx vecc) where veca, vecb and vecc are any three vectors such that veca.vecb =0, vecb.vecc=0 then veca and vecc are:

[(veca xxvecb)xx(vecb xx vecc) (vecb xxvecc) xx (vecc xxveca) (veccxxveca) xx (veca xx vecb)] is equal to ( where veca, vecb and vecc are non - zero non- colanar vectors).

If vecr.veca=vecr.vecb=vecr.vecc=0 " where "veca,vecb and vecc are non-coplanar, then

If (veca xx vecb) xx vecc = vec a xx (vecb xx vecc) , where veca, vecb and vecc are any three vectors such that veca.vecb ne 0, vecb.vecc ne 0 , then veca and vecc are:

given that veca. vecb = veca.vecc, veca xx vecb= veca xx vecc and veca is not a zero vector. Show that vecb=vecc .

given that veca. vecb = veca.vecc, veca xx vecb= veca xx vecc and veca is not a zero vector. Show that vecb=vecc .

Prove that veca\'xxvecb\'+vecb\'xxvecc\'+vecc\'xxveca\'=(veca+vecb+vecc)/([veca vecb vecc])

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. y=tan^-1(sec x^3-tan x^3) and pi/2 lt x^3 lt (3pi)/2 then which of the...

    Text Solution

    |

  2. Let f(lamda)(x)=4lamda x^3-8lamda x^2 +36x+48 be a real function . If ...

    Text Solution

    |

  3. veca xx [(vecr-vecb)xxveca]+vecb xx [(vecr-vecc)xxvecb]+vecc xx [(vecr...

    Text Solution

    |

  4. Given that an=19^n-12^n then find the value of (a10-31a9)/(57 a8)

    Text Solution

    |

  5. 1/(2.3^10)+1/(2^2 3^9)+. . .+1/(2^9. 3^2)+1/(2^10 .3^1)=k/(2^10 . 3^10...

    Text Solution

    |

  6. int0^pi (sinx e^cosx)/((1+cos^2x)(e^cosx+e^-cosx))dx

    Text Solution

    |

  7. Find number of 3 digit odd numbers which are multiple of 7

    Text Solution

    |

  8. If two common tangents of cuves y^2=x and x^2+y^2=2 has slope m1 and m...

    Text Solution

    |

  9. If (a+b)/7=(b+c)/8=(c+a)/9 and a,b,c are the side of triangleABC ,then...

    Text Solution

    |

  10. Circle C touches the line l1=4x-3y+k1=0 , l2=4x-3y+k2=0 where k1 , k2 ...

    Text Solution

    |

  11. f:N to R be a function such that f(x+y)=f(x).f(y) for natural number x...

    Text Solution

    |

  12. f(x)=x^3+x-5 and f(g(x))=x then find the value of g'(63)

    Text Solution

    |

  13. f(x)=x^3+3x^2+2x+9 find point of inflection P(alpha , beta) and calcul...

    Text Solution

    |

  14. If veca and vecb are unit vector and angle between them is theta , fin...

    Text Solution

    |

  15. 1/3,5/9,19/27,65/81 . . . "upto" 100 term , find the GIF of S100

    Text Solution

    |

  16. If g(0,oo) to R is a differentiable function int[(x.(cos-sinx))/(e^x+1...

    Text Solution

    |

  17. f(x) be a polynomial such that f(x)+f'(x)+f''(x)=x^5+64 value of lim(x...

    Text Solution

    |

  18. Z is a point on circle passing points P: (3+4i), Q:(4+3i) and R:(5i) ,...

    Text Solution

    |

  19. How many 3xx3 matrices possible with the elements {-1,0,1} such that...

    Text Solution

    |

  20. (x+1)dy/dx-y=e^(3x)(1+x)^2 , y(0)=1/3 then y((-4)/3) =

    Text Solution

    |