Home
Class 12
MATHS
If theta is an acute angle and the vect...

If `theta` is an acute angle and the vector `(sintheta) hat i+(costheta) hat j` is perpendicular to the vector ` hat i-sqrt(3) hat j ,\ t h e n\ theta=` `pi/6` b. `pi/5` c. `pi/4` d. `pi/3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    RD SHARMA ENGLISH|Exercise All Questions|197 Videos

  • SCALAR TRIPLE PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|76 Videos

Similar Questions

Explore conceptually related problems

Find the value of theta(0,pi//2) for which vectors vec a=(sintheta) hat i+(costheta) hat j a n d\ vec b= hat i-sqrt(3) hat j+2 hat k are perpendicular.

Unit vector perpendicular to the vectors hat(i) - hat(j) and hat(i) + hat(j) is

Find a vector of magnitude 9, which is perpendicular to both vectors 4 hat i- hat j+3 hat ka n d-2 hat i+ hat j-2 hat k .

Find a vector of magnitude 49, which is perpendicular to both the vectors 2 hat i+3 hat j+6 hat k\ a n d\ 3 hat i-6 hat j+2 hat kdot

Decompose the vector 6 hat i-3 hat j-6 hat k into vectors which are parallel and perpendicular to the vecrtor hat i+ hat j+ hat kdot

Decompose the vector 6 hat i-3 hat j-6 hat k into vectors which are parallel and perpendicular to the vector . hat i+ hat j+ hat k Then the vectors are .

Find a unit vector perpendicular to both the vectors 4 hat i- hat j+3 hat k\ a n d-2 hat i+ hat j-2 hat kdot

Write a unit vector perpendicular to hat i+ hat j\ a n d\ hat j+ hat kdot

Find a unit vector perpendicular to both the vectors hat i-2 hat j+3 hat ka n d hat i+2 hat j- hat kdot

Find a vector whose length is 3 and which is perpendicular to the vector vec a=3 hat i+ hat j-4 hat k\ a n d\ vec b=6 hat i+5 hat j-2 hat kdot

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. If vec a\ a n d\ vec b are unit vectors, then which of the following...

    Text Solution

    |

  2. If the vectors hat(i) - 2x hat(j) + 3 y hat(k) and hat(i) +2x hat(j) ...

    Text Solution

    |

  3. The vector component of vec b perpendicular to vec a is a.( vec bd...

    Text Solution

    |

  4. The length of the longer diagonal of the parallelogram constructed o...

    Text Solution

    |

  5. If vec(a) is a non zero vector of magnitude 'a' and lambda a non zero ...

    Text Solution

    |

  6. If theta is the angle between two vectors vec(a) and vec(b), then vec(...

    Text Solution

    |

  7. The value of x for which the angle between vec a=2x^2 hat i+4x hat ...

    Text Solution

    |

  8. If vec a ,\ vec b ,\ vec c are any time mutually perpendicular vect...

    Text Solution

    |

  9. If the vectors 3 hat i+lambda hat j+ hat k\ a n d\ 2 hat i- hat j+8 ha...

    Text Solution

    |

  10. The projection of the vector hat i+ hat j+ hat k along the vector ...

    Text Solution

    |

  11. The vectors 2 hat i+3 hat j-4 hat k\ a n d\ a hat i=b hat j+c hat k ar...

    Text Solution

    |

  12. If | vec a|=| vec b|,\ t h e n\ ( vec a+ vec b)dot( vec a- vec b)= a....

    Text Solution

    |

  13. If vec a\ a n d\ vec b are unit vectors inclined at an angle theta t...

    Text Solution

    |

  14. If vec a\ a n d\ vec b are unit vectorts, then the greatest value fo...

    Text Solution

    |

  15. If the angle between the vectors x hat i+3 hat j-7 hat k\ a n d\ x hat...

    Text Solution

    |

  16. If \ vec a\ a n d\ vec b are two unit vectors inclined at an angle t...

    Text Solution

    |

  17. Let vec a ,\ vec b ,\ vec c be three unit vectors such that | vec a...

    Text Solution

    |

  18. The orthogonal projection of vec a\ on\ vec b is a. (( vec adot vec ...

    Text Solution

    |

  19. If theta is an acute angle and the vector (sintheta) hat i+(costheta)...

    Text Solution

    |

  20. If vec a\ a n d\ vec b be two unit vectors and theta is the angle be...

    Text Solution

    |