Home
Class 12
MATHS
Choose the correct answer from the backe...

Choose the correct answer from the backet. If a unit vector `hata` makes angles `pi/4` with i and `pi/3` with j and acute angle `theta` with k.
then `theta` is

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

Choose the correct answer from the bracket.The angle between the vectors veca and vecb with magnitude 1 and 2 respectively having veca.vecb=sqrt3 a) pi/3 b) pi/4 c) pi/6 d) pi/2

A unit vector in the XOY-plane that makes an angle 30^(@) with the vector i + j and makes an angle 60^(@) with i - j is

Choose the correct answer. If theta is the angle between two vectors veca"and"vecb , then veca.vecb ge 0 only when a) 0 lt theta lt pi/2 b) 0 le theta le pi/2 c) 0 lt theta lt pi d) 0 le theta le pi

Choose the correct answer. Let veca"and"vecb be two unit vectors and theta be the angle between them.Then veca+vecb is a unit vector, if: a) theta=pi/4 b) theta=pi/3 c) theta=pi/2 d) theta=(2pi)/3

The angle between the vectors i+j and j+k is

Choose the correct answer from the bracket. The function f(x)=cosx is strictly decreasing in the interval _______a) ((-pi)/2,pi/2) b) (0,2pi) c) (0,pi) d) (-pi,pi)

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Find |veca xx vecb|, if. veca=hati-7 hatj+7 hatk and vecb=3 hati-2 h...

    Text Solution

    |

  2. Find a unit vector perpendicular to each of the vector veca+vecb, and ...

    Text Solution

    |

  3. Choose the correct answer from the backet. If a unit vector hata makes...

    Text Solution

    |

  4. Show that (veca-vecb) xx(veca+vecb)=2(veca xx vecb)

    Text Solution

    |

  5. Find lambdaand mu if (2overset^^i+6overset^^j+27overset^^k)xx(overset^...

    Text Solution

    |

  6. Given that oversetrarra.oversetrarrb=0"and"oversetrarraxxoversetrarrb=...

    Text Solution

    |

  7. Let the vectors 'veca, vecb, vecc' be given as 'a1 hati+a2 hatj+a3 hat...

    Text Solution

    |

  8. If either veca=vec0"or" vecb =vec0, "then"vecaxxvecb=vec0.Is the conve...

    Text Solution

    |

  9. Find the area of the triangle with vertices A(1,1,2),B(2,3,5) and C(1,...

    Text Solution

    |

  10. Find the area of the parallelogram whose adjacent sides are determined...

    Text Solution

    |

  11. Let the vectorsveca"and"vecbbe such that |veca|=3"and"|vecb|=sqrt2/3,...

    Text Solution

    |

  12. Area of a rectangle having vertices 'A, B, C' and 'D' with position ve...

    Text Solution

    |

  13. If hati+hatj+hatk, 2 hati+5 hatj, 3 hati+2 hatj-3 hatk and hati-6 hatj...

    Text Solution

    |

  14. Let veca,vecb, " and " vecc be three vectors such that |veca|=3,|vecb|...

    Text Solution

    |

  15. Three vectors veca,vecb,"and" vecc satisfy the conditionveca+vecb+vecc...

    Text Solution

    |

  16. Write down a unit vector in XY plane making an angle of 30^@ with the...

    Text Solution

    |

  17. Find the scalar components and magnitude of the vector joining the poi...

    Text Solution

    |

  18. If 'veca=vecb+vecc', then is it true that '|veca|=|vecb|+|vecc| ?' Jus...

    Text Solution

    |

  19. Find the value of 'x' for which 'x(hati+hatj+hatk)' is a unit vector.

    Text Solution

    |

  20. Find a vector of magnitude 5 units and parallel to the resultant of th...

    Text Solution

    |