Home
Class 12
MATHS
Show that hat(i) xx (vec(a) xx hat(i)) +...

Show that `hat(i) xx (vec(a) xx hat(i)) + hat(j) xx (vec(a) xx hat(j)) + hat(k) xx (vec(a) xx hat(k)) = 2 vec(a)`.

Promotional Banner

Topper's Solved these Questions

  • TEST PAPER 10

    MODERN PUBLICATION|Exercise EXERCISE|33 Videos

  • TEST PAPER 3

    MODERN PUBLICATION|Exercise PROBLEM|63 Videos

Similar Questions

Explore conceptually related problems

Show that the vectors vec(a) = 3hat(i) - 2hat(j) + hat(k), vec(b) = hat(i) - 3hat(j) + 5hat(k) and vec(c) = 2hat(i) + hat(j) - 4hat(k) form a right angled triangle.

Show that the vectors vec(a) = hat(i) - 2hat(j) + 3hat(k), vec(b) = -2hat(i) + 3hat(j) - 4hat(k) and vec(c) = hat(i) - 3hat(j) + 5hat(k) are coplanar.

If vec(r) = x hat(i) + y hat(j) + z hat(k) , then find (vec(r) xx hat(i)).(vec(r) xx hat(j)) + xy .

For an vector vec(r) = x hat(i) + y hat(j) + z hat(k) , prove that vec(r) = (vec(r). hat(i))hat(i) + (vec(r).hat(j))hat(j) + (vec(r) .hat(k)) hat(k)

MODERN PUBLICATION-TEST PAPER 2-PROBLEM
  1. Find the area of the regions into which the circle x^2+y^2=4 is divide...

    Text Solution

    |

  2. Find the solution of the following differential equations: x dy-ydx=sq...

    Text Solution

    |

  3. Show that hat(i) xx (vec(a) xx hat(i)) + hat(j) xx (vec(a) xx hat(j)) ...

    Text Solution

    |

  4. A variable plane meets the coordinate axes at P, Q, R points. If the p...

    Text Solution

    |

  5. Write whether the following statements are true or false. The equati...

    Text Solution

    |

  6. Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...

    Text Solution

    |

  7. Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^...

    Text Solution

    |

  8. If f'(x)=sqrt(2x^2-1) and y=f(x^2) then what is dy/dx at x = 1 ?

    Text Solution

    |

  9. Find the extreme points of the function y= x+1/x.

    Text Solution

    |

  10. What is the differential equation whose solution is y = c (sin x + cos...

    Text Solution

    |

  11. For what value of lambda, the vectors lambda hat(i) + 3hat(j) + lambda...

    Text Solution

    |

  12. Let A and B be sets. Show that f : A xx B rarr B xx A such that f (...

    Text Solution

    |

  13. Maximise Z=50x(1)+60x(2) Subject to 2x(1)+3x(2)le6,x(1),x(2)ge0.

    Text Solution

    |

  14. Let ~ be defined by (m,n)~(p,q) if mq=np where m, n, p,qinZ-{0}. Show ...

    Text Solution

    |

  15. If A=[[2,1],[-1,3]], B=[[2,3],[1,1]] "and" C=[[1,0,2],[-2,3,0]],verify...

    Text Solution

    |

  16. Prove that all the diagonal elements of a skew symmetric matrix are ze...

    Text Solution

    |

  17. If x,y,z are positive and are the pth, qth and rth terms of a G.P. the...

    Text Solution

    |

  18. Answer the following: What is the value of [[o,-h,-g],[h,o,-f],[g,f,...

    Text Solution

    |

  19. Show that no two normals to a parabola are parallel.

    Text Solution

    |

  20. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |