Home
Class 12
MATHS
Unit vectors veca and vecb ar perpendicu...

Unit vectors `veca and vecb` ar perpendicular , and unit vector `vecc` is inclined at an angle `theta` to both `veca and vecb . If alpha veca + beta vecb + gamma (veca xx vecb)` then.

A

`alpha=beta=-costheta, y^(2)=cos2theta`

B

`alpha=beta=costheta, y^(2)=cos2theta`

C

`alpha=beta=costheta, y^(2)=-cos2theta`

D

`alpha=beta=-costheta, y^(2)=-cos2theta`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|35 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|10 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|54 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

Let veca.vecb=0 where veca and vecb are unit vectors and the vector vecc is inclined an anlge theta to both veca and vecb. If vecc=mveca+nvecb + p(veca xx vecb) , (m,n,p in R) then

If veca and vecb are unit vectors inclined at an angle theta , then the value of |veca-vecb| is

Let veca and vecb are unit vectors inclined at an angle alpha to each other , if |veca+vecb| lt 1 then

Let veca be a unit vector perpendicular to unit vectors vecb and vecc and if the angle between vecb and vecc " is " alpha , " then " vecb xx vecc is

if veca, vecb and vecc are there mutually perpendicular unit vectors and veca ia a unit vector then find the value of |2veca+ vecb + vecc |^2

Consider three vectors veca, vecb and vecc . Vectors veca and vecb are unit vectors having an angle theta between them For vector veca, |veca|^2=veca.veca If veca_|_vecb and veca_|_vecc then veca||vecbxxvecc If veca||vecb, then veca=tvecb Now answer the following question: The value of sin(theta/2) is (A) 1/2 |veca-vecb| (B) 1/2|veca+vecb| (C) |veca-vecb| (D) |veca+vecb|

Consider three vectors veca, vecb and vecc . Vectors veca and vecb are unit vectors having an angle theta between them For vector veca, |veca|^2=veca.veca If veca_|_vecb and veca_|_vecc then veca||vecbxxvecc If veca||vecb, then veca=tvecb Now answer the following question: If vecc is a unit vector and equal to the sum of veca and vecb the magnitude of difference between veca and vecb is (A) 1 (B) sqrt(2) (C) sqrt(3) (D) 1/sqrt(2)

Vectors veca, vecb, vecc are three unit vectors and vecc is equally inclined to both veca and vecb . Let veca xx (vecb xx vecc) + vecb xx (vecc xx veca) =(4+x^(2))vecb-(4xcos^(2)theta)veca , then veca and vecb are non-collinear vectors, x gt 0

Let veca and vecb are two vectors inclined at an angle of 60^(@) , If |veca|=|vecb|=2 ,the the angle between veca and veca + vecb is

Let veca ,vecb , vecc be three unit vectors such that angle between veca and vecb is alpha , vecb and vecc " is " beta and vecc and veca " is " gamma. " if " | veca. + vecb + vecc| =2 , then cos alpha + cos beta + cos gamma =

ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
  1. Two adjacent sides of a parallelogram A B C D are given by vec A B=...

    Text Solution

    |

  2. If in a triangleABC, BC=(e)/(|e|)-(f)/(|f|) and AC=(2e)/(|e|): |e|ne|f...

    Text Solution

    |

  3. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

    Text Solution

    |

  4. In triangle ABC the mid point of the sides AB, BC and AC respectively ...

    Text Solution

    |

  5. The angle between the lines whose directionn cosines are given by 2l-m...

    Text Solution

    |

  6. A line makes an angle theta both with x-axis and y-axis. A possible ra...

    Text Solution

    |

  7. Let veca, vecb and vecc be the three vectors having magnitudes, 1,5 an...

    Text Solution

    |

  8. Find the perpendicular distance of a corner of a cube of unit side len...

    Text Solution

    |

  9. If p,q are two-collinear vectors such that (b-c)ptimesq+(c-a)p+(a-b)q...

    Text Solution

    |

  10. Let a=hat(i)+hat(j)+hat(k), b=-hat(i)+hat(j)+hat(k), c=hat(i)-hat(j)+h...

    Text Solution

    |

  11. A parallelepiped is formed by planes drawn parallel to coordinate axes...

    Text Solution

    |

  12. Let a,b,c be three non-coplanar vectors and d be a non-zerro vector, w...

    Text Solution

    |

  13. If alpha(axxb)+beta(bxxc)+gamma(cxxa)=0, then

    Text Solution

    |

  14. Let area of faces triangleOAB=lambda1, triangleOAC=lambda2, triangleOB...

    Text Solution

    |

  15. Given four non zero vectors bar a,bar b,bar c and bar d. The vectors ...

    Text Solution

    |

  16. The shortest distance between a diagonal of a unit cube and the edge s...

    Text Solution

    |

  17. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

    Text Solution

    |

  18. If the two adjacent sides of two rectangles are represented by vecto...

    Text Solution

    |

  19. Let veca,vec b,vec c are three vectors along the adjacent edges ofa t...

    Text Solution

    |

  20. If the angle between the vectors vec(a)=hat(i)+(cos x)hat(j)+hat(k) a...

    Text Solution

    |