Home
Class 12
MATHS
Find a value of "x"for which x( h...

Find a value of "x"for which ` x( hati + hatj+ hatk) ` is a unit vector .

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2015

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos

Similar Questions

Explore conceptually related problems

The value of 'lamda' which the vectors : 3 hati - 6 hatj + hatk and 2 hati - 4 hatj + lamda hatk are parallel is :

Value of a for which 2 hati - hatj+1hatk , hati + 2 hatj - 3 hatk and 3 hati + a hatj + 5 hatk are coplanar is :

The unit vector which is orthogonal to the vector veca = 3 hati + 2 hatj + 6 hatk and is coplanar with the vectors vecb = 2 hati + hatj + hatk and vecc = hati - ahtj + hatk is :

Find the projection of the vector veca = 2 hati + 3hatj + 2hatk on the vector vecb = hati +2hatj +hatk

The values of x for which the angle between the vectors veca =xhati - 3hatj-hatk and vecb = 2x hati + x hatj -hatk is acute, and the angle, between the vector vecb and the axis of ordinates is obtuse, are

The sides of a parallelogram are 2hati +4hatj -5hatk and hati + 2hatj +3hatk . The unit vector parallel to one of the diagonals is

Let veca = hat i + hatj + hatk, vecb = hati + 2 hatk and vecc = x hati + (x -2) hatj + hatk. If the vector vecc lies in the plane of veca and vecb, then x equals :

The angle between the vector hati - hatj and hatj - hatk is :

HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2016-QUESTION BANK
  1. The function f(x) = [x] where [x] is the greatest integer function is ...

    Text Solution

    |

  2. Let f: R rarrR be defined by f(x)=2x+6 which is bijective mapping then...

    Text Solution

    |

  3. If cos alpha, cos beta, cos gamma are the direction cosines fo a vecto...

    Text Solution

    |

  4. Write the converse and contrapositive of the statement " If x ...

    Text Solution

    |

  5. The value of int(-pi//4)^(pi//4) sin^(103) x*cos^(101) xdx is

    Text Solution

    |

  6. If a = 3,b = 4, c = 5 each one of vec a, vec b and vec c is perpendicu...

    Text Solution

    |

  7. Suppose vec a + vec b + vec c = 0, |vec a| = 3, |vec b| = 5, |vec c| =...

    Text Solution

    |

  8. If x^(y) = e^(x-y) then (dy)/(dx) is equal to

    Text Solution

    |

  9. If P(AnnB)=7//10andP(B)=17//20, where P stands for probability then P(...

    Text Solution

    |

  10. Find a value of "x"for which x( hati + hatj+ hatk) is a uni...

    Text Solution

    |

  11. If y = e^(sin^(-1)(t^(2)-1)) & x = e^(sec-1((1)/(t^(2-1))) then (dy)/(...

    Text Solution

    |

  12. If A = 1/pi [(sin^(-1)(xpi),tan^(-1)(x/pi)),(sin^(-1)(x/pi),cot^(-1)(p...

    Text Solution

    |

  13. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2)-2t-5 at th...

    Text Solution

    |

  14. The rate of change of area of a circle with respect to its radius at r...

    Text Solution

    |

  15. IF A = [{:(3,,1),(-1,,2):}] then A^(2) -5A is equal to

    Text Solution

    |

  16. The value of the sin 1^(@) + sin2^(@) + … + sin359^(@) is equal to

    Text Solution

    |

  17. The order and degree of the differential equation [1 + ((dy)/(dx))^(2)...

    Text Solution

    |

  18. tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) is

    Text Solution

    |

  19. The sum of 1^(st) n terms of the series (1^(2))/(1) + (1^(2) + 2^(2...

    Text Solution

    |

  20. Two cards are drawn at randrom from a pack of 52 cards. The probabilit...

    Text Solution

    |