Home
Class 12
MATHS
Let vec(a), vec(b), vec(c ) be three mut...

Let `vec(a), vec(b), vec(c )` be three mutually perpendicular vectors of the same magnitude and equally inclined at an angle `theta,` with the vector `vec(a) + vec(b) + vec(c )`. The `36 cos^(2) 2 theta` is equal to __________ .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|30 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION-A)|80 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos
  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos
  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

Similar Questions

Explore conceptually related problems

If vec a,vec b,vec c are mutually perpendicular unit vectors,find |2vec a+vec b+vec c|

If vec a,vec b, and vec c are mutually perpendicular vectors of equal magnitudes,then find the angle between vectors vec a and vec a+vec b+vec c

If vec a,vec b,vec c are three mutually perpendicular vectors of equal magniltgude,prove that vec a+vec b+vec c is equally inclined with vectors vec a,vec b, and vec r also find the angle.

If vec a,vec b,vec c are mutually perpendicular vectors of equal magnitude,show the vectors vec a+vec b+vec c is equally inclined to vec a,vec b and vec c.

If vec a,vec b,vec c are three mutually perpendicular unit vectors,then prove that |vec a+vec b+vec c|=sqrt(3)

If vec a,vec b,vec c are mutually perpenedicular vectors of equal magnitudes,show that the vector vec a+vec b+vec c is equally inclined to vec a,vec b,vec c

If vec a and vec b are two vectors of the same magnitude inclined at an angle of 30^(@) such that vec a.vec b=3, find |vec a|,|vec b|

If vec a and vec b are mutually perpendicular unit vectors,write the value of |vec a+vec b+vec c|

Let vec a and vec b are two unit vectors that are mutually perpendicular.A unit vector that is equally inclined to vec a.vec b and vec a xxvec b is :

If a,b,c are three mutually perpendicular vector each of magnitude unity,then what is the magnitude of |vec a+vec b+vec c|?

JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-MATHEMATICS (SECTION -B)
  1. Let vec(a), vec(b), vec(c ) be three mutually perpendicular vectors o...

    Text Solution

    |

  2. Let A = ((1,-1,0),(0,1,-1),(0,0,1))andB=7A^(20)-20A^(7)+2I, where I is...

    Text Solution

    |

  3. Let P be a plane passing through the points (1,0,1),(1,-2,1) and (0,1,...

    Text Solution

    |

  4. The number of rational terms in the binomial expansion of (4^((1)/(4))...

    Text Solution

    |

  5. If the shortest distance between the lines vec(r(1))=alphahat(i)+2hat...

    Text Solution

    |

  6. Let T be the tangent to the ellipse E : x^(2) + 4y^(2) = 5 at the poin...

    Text Solution

    |

  7. Let a,b,c,d be in arithmetic progression with common difference lambda...

    Text Solution

    |

  8. There are 15 playears in a cricket team, out of which 6 are bowlers, 7...

    Text Solution

    |

  9. Let y = mx + c, m gt 0 be the focal chord of y^(2) = - 64 x, which is...

    Text Solution

    |

  10. If the value of lim(xto0) (2 - cosx sqrt(cos2x))^(((x+2)/(x^(2)))) is ...

    Text Solution

    |

  11. Let y=y(x) be solution of the following differential equation e^(y)(d...

    Text Solution

    |

  12. If the value of (1+(2)/(3)+(6)/(3^(2))+(10)/(3^(3))+...."upto "oo)^(lo...

    Text Solution

    |

  13. Consider the following frequency distribution : If the sum of a...

    Text Solution

    |

  14. Let vecp=2hati+3hatj+hatkandvecq=hati+2hatj+hatk be two vectors .If a ...

    Text Solution

    |

  15. The ratio of the coefficient of the middle term in the expansion of (1...

    Text Solution

    |

  16. Let M={A=({:(a,b),(c,d):}):a,b,c,d in { +-3,+-2,+-1,0}. Define f:Mt...

    Text Solution

    |

  17. There are 5 students in class 10, 6 students in class 11 and 8 student...

    Text Solution

    |

  18. If alpha,beta are roots of the equation x^(2)+5(sqrt(2))x+10=0,alphagt...

    Text Solution

    |

  19. The term independent of 'x' in the expansion of ((x+1)/(x^(2//3)-x^(1/...

    Text Solution

    |

  20. Let S={n inN|({:(0,i),(1,0):})^(n)({:(a,b),(c,d):})=({:(a,b),(c,d):})A...

    Text Solution

    |