Home
Class 12
MATHS
Suppose bara , barb are mutually perpend...

Suppose `bara , barb` are mutually perpendicular unit vectors and the unit vector `barc` is inclined at an angle `theta` to each of `bara and barb`
If : `barc = xbara + ybarb + z ( bara xx barb )`, then

A

`x = costheta, y = sin theta, z = cos 2theta`

B

`x= y = cos theta, z^(2) = cos 2theta`

C

`x = sin theta, y = cos theta,z=-cos2theta`

D

`x=y=costheta,z^(2) = -cos 2theta`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MARVEL PUBLICATION|Exercise PREVIOUS YEARS MHT-CET EXAM QUESTIONS|10 Videos

  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.3|13 Videos

Similar Questions

Explore conceptually related problems

If bara,barb,barc are any three coplanar unit vectors then

Let bara be a unit vector perpendicular to unit vectors barb and barc inclined at an angle a. then barb times barc is

If barc=bara times barb and barb=barc times bara then

Given that bara and barb are not mutually perpendicular. If barc and bard are two vectors such that barb xx barc = barb xx bard and bara.bard =0, then : bard=

(3bara xx 2barb)·barc + (3barb xx 2barc)·bara + (4barc xx 3barb)·bara =

IF bara times barb = barc and barb times barc=bara then

If bara,barb and barc are three non-coplanar vectors, then : (bara + barb + barc) · [(bara + barb) xx (bara + barc)] =

If bara,barb,barc are mutually prependicular vectors having megnitudes 1,2,3 respectively, then [bara+barb+bar(c) bar(b)-bara" "barc]=

If bara and barb are two unit vectors at 120^@ and c is any vector inclined to bara and barb at an angle theta . The complete set of values of cos theta is

MARVEL PUBLICATION-VECTORS-TEST YOUR GRASP
  1. Suppose bara , barb are mutually perpendicular unit vectors and the un...

    Text Solution

    |

  2. If ABCDEF is a regular hexagon , then bar(AB) + bar(AC) + bar(AE) + ...

    Text Solution

    |

  3. If the origin is the centroid of a triangle ABC having vertices A(a ,1...

    Text Solution

    |

  4. If alpha,beta ,gamma are direction angles of a line , then cos 2alpha ...

    Text Solution

    |

  5. If |bar(u)| = sqrt(3) and bar(u) is equally inclined to co - ordinate...

    Text Solution

    |

  6. If vectors 2i-j+k,i+2j-3k and 3i+aj+5k are coplaner, then a=

    Text Solution

    |

  7. If bara.i = 4, then bara.[j xx (2j - 3k)]=

    Text Solution

    |

  8. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

    Text Solution

    |

  9. If veca vecb are non zero and non collinear vectors, then [(veca, vecb...

    Text Solution

    |

  10. If bara,barb,barc are non-coplaner vectors and barp=(barbxxbarc)/([bar...

    Text Solution

    |

  11. If direction ratios of two lines are 2,-6,-3 and 4,3,-1 then directi...

    Text Solution

    |

  12. If the volumes of parallelepiped with coterminus edges -pj+5k,i-j+qk a...

    Text Solution

    |

  13. A line makes 45^(@) with OX, and equal angles with OY and OZ. Then the...

    Text Solution

    |

  14. If the points with position vectors -i + 3j + 2k , -4i + 2j - 2k and 5...

    Text Solution

    |

  15. If bara.barb=barb.barc=barc.bara=0 and bara,barb,barc form a right-han...

    Text Solution

    |

  16. If bara,barb,barc are non-coplaner vectors, then (bara.(barbxxbarc))/...

    Text Solution

    |

  17. i · (j xx k) + j · (k xx i) + k · (i xx j ) =

    Text Solution

    |

  18. If bara=2i+3j-k,barb=-i+2j-4k and barc=i+j+k, then (baraxxbarb).(barax...

    Text Solution

    |

  19. If vectors 2hati-hatj+hatk ,hati+2hatj-3hatk and 3hati+mhatj+5hatk are...

    Text Solution

    |

  20. 2i · (j xx k) - 3j · (i xx k) - 4k · (i xx j) =

    Text Solution

    |

  21. If vectors bara,barb,barc are non-coplaner, then ([bara+2barb barb+2...

    Text Solution

    |