Home
Class 12
MATHS
Two adjacent sides OA and OB of a rectan...

Two adjacent sides OA and OB of a rectangle `OACB` are represented by `vec a and vecb` respectively, where o is origin. If `16|vec axxvecb| = 3 (|veca|+|vecb|)^2` and `theta` is the angle between the diagonals OC and AB, then the value(s) of `tan(theta/2)`

A

`(1)/(sqrt(2))`

B

`(1)/(2)`

C

`(1)/(sqrt(3))`

D

`(1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|20 Videos

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|12 Videos

  • TRIGONOMETRIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

Two adjacent sides OA and OB of a rectangle OACB are represented by vec a and vecb respectively, where o is origin. If 16|vec axxvecb| = 3 |veca+vecb|^2 and theta is the angle between the diagonals OC and AB, then the value(s) of tan(theta/2)

The adjacent side vectors vec(OA) and vec(OB) of a rectangle OACB are veca and vecb respectively, where O is the origin . If 16|veca xx vecb|=3(|veca|+|vecb|)^(2) and theta be the acute angle between the diagonals OC and AB then the value of cos(theta/2) is : (a) (1)/(sqrt(2)) (b) (1)/(2) (c) (1)/(sqrt(3)) (d) (1)/(3)

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

vecA and vecB are two vectors and theta is the angle between them, if |vecA xx vecB|=sqrt(3)(vecA.vecB) the value of theta is:-

If veca,vecb are two unit vectors such that |veca + vecb| = 2sqrt3 and |veca -vecb|=6 then the angle between veca and vecb , is

If vec(e_(1)) and vec(e_(2)) are two unit vectors and theta is the angle between them, then sin (theta/2) is:

The angle between the vectors vecA and vecB is theta. The value of vecA(vecAxx vec B) is -

vec(A) and vec(B) are two Vectors and theta is the angle between them, if |vec(A)xxvec(B)|= sqrt(3)(vec(A).vec(B)) the value of theta is

If veca and vecb asre two vectors such that |veca|=2, |vecb| = 7 and vecaxxvecb=3hati+6hatk find the angle between veca and vecb

If veca , vecb and vec(c ) are there vectors such that veca + vecb = vec(C ) and further a^2 +b^2 =c ^2 find the angle between veca and vecb ?

VIKAS GUPTA (BLACK BOOK) ENGLISH-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-5 : Subjective Type Problems
  1. Two adjacent sides OA and OB of a rectangle OACB are represented by ve...

    Text Solution

    |

  2. A rod AB of length 2L and mass m is lying on a horizontal frictionless...

    Text Solution

    |

  3. If hata, hatb and hatc are non-coplanar unti vectors such that [hata ...

    Text Solution

    |

  4. Let OABC be a tetrahedron whose edges are of unit length. If vec OA = ...

    Text Solution

    |

  5. If A is the matrix [(1,-3),(-1,1)], then A-(1)/(3)A^(2)+(1)/(9)A^(3)……...

    Text Solution

    |

  6. A sequence of 2xx2 matrices {M(n)} is defined as follows M(n)=[((1)/(...

    Text Solution

    |

  7. Let |veca|=1, |vecb|=1 and |veca+vecb|=sqrt(3). If vec c be a vector ...

    Text Solution

    |

  8. Let vecr=(veca xx vecb)sinx+(vecb xx vec c)cosy+2(vec c xx vec a), whe...

    Text Solution

    |

  9. The plane denoted by P1 : 4x+7y+4z+81=0 is rotated through a right ang...

    Text Solution

    |

  10. ABCD is a regular tetrahedron, A is the origin and B lies on x-axis. A...

    Text Solution

    |

  11. A, B, C, D are four points in the space and satisfy |vec(AB)|=3, |vec(...

    Text Solution

    |

  12. Let OABC be a regular tetrahedron of edge length unity. Its volume be ...

    Text Solution

    |

  13. If veca and vecb are non zero, non collinear vectors and veca(1)=lamb...

    Text Solution

    |

  14. Let P and Q are two points on the curve y=log((1)/(2))(x-0.5)+log2sqrt...

    Text Solution

    |

  15. Let P and Q are two points on the curve y=log((1)/(2))(x-0.5)+log2sqrt...

    Text Solution

    |

  16. If a, b, c, l, m, n in R-{0} such that al+bm+cn=0, bl+cm+an=0, cl+am+b...

    Text Solution

    |

  17. Let vec ua n d vec v be unit vectors such that vec uxx vec v+ vec u=...

    Text Solution

    |