Home
Class 12
MATHS
Let vecaandvecb be two unit vectors and ...

Let `vecaandvecb` be two unit vectors and `theta` is 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)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NCERT TAMIL|Exercise EXERCISE 10.4|12 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY-II

    NCERT TAMIL|Exercise EXERCISE 5.6|25 Videos

Similar Questions

Explore conceptually related problems

If vec a and vec b are two unit vectors and theta is the angle between them, then |vec a - vec b| is equal to ______________

Let veca and vec b be two unit vectors such that angle between them is 60^(@) .Then |veca - vec b| is equal to

If veca and vecb are two vectors and angle between them is theta , then

If veca,vecb are unit vectors and theta is the angle between them, show that tan""(theta)/(2)=(|veca-vecb|)/(|veca+vecb|)

If veca,vecb are unit vectors and theta is the angle between them, show that sin""(theta)/(2)=(1)/(2)|veca-vecb|

If veca,vecb are unit vectors and theta is the angle between them, show that cos""(theta)/(2)=(1)/(2)|veca+vecb|

A and B are two vectors and theta is the angle between them, if |vecAxxvecB|= sqrt3 (vecA. vec B) the value of theta is :

Let veca, vecb, vecc be three unit vectors and veca.vecb=veca.vecc=0 . If the angle between vecb and vecc is pi/3 then find the value of |[veca vecb vecc]|

veca and vecc are unit vectors and |vecb|=4 the angle between veca and vecb is cos ^(-1)(1//4) and vecb - 2vecc=lambdaveca the value of lambda is

If veca and vecb are unit vectors, then find the greatest value of |veca+vecb|+ |veca-vecb| .

NCERT TAMIL-VECTOR ALGEBRA-Miscellaneous Exercise on chapter 10
  1. Write down a unit vector in XY - plane making an angle of 30^(@) with ...

    Text Solution

    |

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

    Text Solution

    |

  3. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

    Text Solution

    |

  4. If veca = vec b+ vec c, then is it true that |veca| = |vec b| + |vec ...

    Text Solution

    |

  5. Find the value of x for which x (hat i + hat j + hat k) is a unit vect...

    Text Solution

    |

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

    Text Solution

    |

  7. If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatkandvecc=hati-2hatj+hatk, ...

    Text Solution

    |

  8. Show that the points A(1, -2, -8) B (5, 0, -2) and C(11, 3, 7) are col...

    Text Solution

    |

  9. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  10. The two adjacent sides of a parallelogram are 2 hat i - 4 hat j + 5 ha...

    Text Solution

    |

  11. Show that the direction cosines of a vector equally inclined to the ax...

    Text Solution

    |

  12. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatkandvecc=2hati-hatj+4ha...

    Text Solution

    |

  13. Thescalar product of the vector hat i + hat j + hat k with a unit vect...

    Text Solution

    |

  14. If veca,vecb,vecc are mutually perpendicular vectors of equal magnitu...

    Text Solution

    |

  15. Prove that (veca+vecb)*(veca+vecb)=|veca|^(2)+|vecb|^(2), if and only...

    Text Solution

    |

  16. If theta is the angle between two vectors vecaandvecb then veca*vecbge...

    Text Solution

    |

  17. Let vecaandvecb be two unit vectors and theta is the angle between the...

    Text Solution

    |

  18. The value of hati.(hatjxxhatk)+hatj.(hatkxxhati)+hatk.(hatjxxhati) ...

    Text Solution

    |

  19. If theta is the angle between any two vectors vec a and vec b , then |...

    Text Solution

    |