Home
Class 12
MATHS
Prove that for any vector bar a,barb,b...

Prove that for any vector
`bar a,barb,barc[bara+barb, barb+barc, barc+bara]=2[bara barb barc]`

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MAXIMUM PUBLICATION|Exercise EXAMPLE|119 Videos
  • PROBABILITY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|144 Videos

Similar Questions

Explore conceptually related problems

If bara,barb,barc are coplaner, prove that [bara+barb, barb+barc,barc+bara] are coplanar.

Show that if bara+barb,barb+barc,barc+bara are coplanar then bara,barb,barc are also coplanar

if bara=3i+2j+2k,barb=i+2j-2k find bara+barb,bara-barb

If bara,barb,barc are coplaner vectors , write the vector perpendicular to bara

Match the following. A{a.torque (bartau) , b. Angular momentum (barL) , c. rotational equilibrium, d. Linear velocity (barb) }. B{(i) perpendicular to barr & barP , (ii) sum barF=0 , (iii) baromega × barr , (iv) barr×barF ,(v) sumbartau

if bara=3i+2j+2k,barb=i+2j-2k find a unit vector perpendicular to both bara+barb,bara-barb

If barA is perpendicular to bar B , what is the value of (barA).(barB) ?

MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. The degree of the differential equation xy((d^2y)/dx^2)^2+x^4(dy/dx)...

    Text Solution

    |

  2. Find the general solution of the differential equation sec^2xtan ydx...

    Text Solution

    |

  3. Prove that for any vector bar a,barb,barc[bara+barb, barb+barc, barc...

    Text Solution

    |

  4. Show that if bara+barb,barb+barc,barc+bara are coplanar then bar...

    Text Solution

    |

  5. Find the equation of a plane which makes x,y,z intercepts respectively...

    Text Solution

    |

  6. Solve the following LPP Graphically, Minimise, Z=-3x+4y Subject to...

    Text Solution

    |

  7. Find x and y if x[[2],[3]]+y[[-1],[1]]=[[10],[5]]

    Text Solution

    |

  8. Express the matrix [[2,-2,-4],[-1,3,4],[1,-2,-3]] as the sum of a ...

    Text Solution

    |

  9. prove that abs[[a,b,c],[a+2x,b+2y,c+2z],[x,y,z]]=0

    Text Solution

    |

  10. if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[-2,0,1],[9,2,-3],[6,1,-2]] Prov...

    Text Solution

    |

  11. if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[-2,0,1],[9,2,-3],[6,1,-2]] ...

    Text Solution

    |

  12. Prove that the function defined by f(x)= cosx^2 is a continuous f...

    Text Solution

    |

  13. if y=e^(a cos^-1x),-1lexle1, show that dy/dx= (-ae^(acos^-1x))/(...

    Text Solution

    |

  14. Evaluate int sin mxdx

    Text Solution

    |

  15. Evaluate int 1/(sqrt (x^2+2x+2))dx

    Text Solution

    |

  16. Evaluate int x/((x+1)(x+2))dx

    Text Solution

    |

  17. if bara=3i+2j+2k,barb=i+2j-2k find bara+barb,bara-barb

    Text Solution

    |

  18. if bara=3i+2j+2k,barb=i+2j-2k find a unit vector perpendicular to bo...

    Text Solution

    |

  19. Consider the points A(1.2.7),B(2,6,3),C(3,10,-1) find bar(AB),bar(BC...

    Text Solution

    |

  20. Consider the points A(1,2,7),B(2,6,3),C(3,10,-1) prove that A,B,C ar...

    Text Solution

    |