Home
Class 12
MATHS
Let hat(alpha), hat(beta), hat(gamma)be ...

Let `hat(alpha), hat(beta), hat(gamma)`be three unit vectors such that `hat(alpha) xx (hat(beta) xx hat(gamma)) = (1)/(2)(hat(beta) + hat(gamma))` where `hat(alpha) xx (hat(beta) xx hat(gamma)) = (hat(alpha).hat(gamma)) hat(beta) - (hat(alpha).hat(beta))hat(gamma)`. If `hat(beta)` is not parallel to `hat(gamma)`, then the angle between `hat(alpha)` and `hat(beta)` is

A

`(5pi)/(6)`

B

`(pi)/(6)`

C

`(pi)/(3)`

D

`(2pi)/(3)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2018

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

  • QUESTION PAPER 2021

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTION|75 Videos

Similar Questions

Explore conceptually related problems

Let hat(a) and hat(b) be two unit vectors. If the vectors hat(c) = hat(a) + 2hat(b) and hat(d) = 5hat(a) - 4hat(b) are perpendicular to each other, than the angle between hat(a) and hat(b) is

If vec(alpha ) = hat (i) - 2 hat (j) + 3 hat (k) , vec(beta) = 2 hat (i) - 3 hat (j) + hat(k) and vec(gamma) = 3 hat (i) + hat (j) - 2 hat (k) , find vec(alpha) . (vec(beta)xx vec (gamma)) .

Find the value of [ (hat (k)xx hat (j)).hat(i)+hat(j).hat (k)]

vec (alpha) = lambda hat (i) + hat (j) + 3 hat (k) , " " vec(beta) = -hat (i) + 2 hat (j) + hat (k) ," " vec(gamma) = 3 hat (i) + hat (j) + 2 hat (k) and [ vec(alpha) vec(beta)vec(gamma)]= -10 then find the value of lambda

If vec(a) = hat(i) + 2 hat(j) - 3 hat (k) and vec(beta) = 3 hat(i) - hat (j) + 2 hat (k) , find the cosine of the angle between the vectors (2 vec(alpha)+ vec(beta)) and (vec(alpha)+2 vec(beta))

Let vec(a),vec(b),vec(c ) be unit such that hat(a) + hat(b ) + hat(c ) = vec(alpha) and hat(a).hat(b)=hat(b).hat(c ) =hat(c ). hat(a) = 1/2 Magnitude of vector vec(alpha) is equal to -

Find out the angle between two-vectors hat i + hat j and hat i- hat k .

Find a unit vector perpendicular to both the vector vec(a) = 2 hat(i) + hat(j) - 2 hat(k) and vec(b) = 3 hat (i) - hat (j) + hat (k)

u and v are two non-collinear unit vectors such that |hat uxx hat v|=|( hat u-hat v)/2|. Find the value of | hat uxx(hat uxx hat v)|^2

If four points 2hat(i) + hat(j) + hat(k), hat(i) + hat(j) - hat(k), hat(j) - hat(k) and lamda hat(j) + hat(k) are coplanar then lamda =

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2019-MULTIPLE CHOICE QUESTIONS
  1. The length of conjugate axis of a hyperbola is greater than the length...

    Text Solution

    |

  2. Let f(x) = x^(4) - 4x^(3) + 4x^(2) + c, c in R. Then

    Text Solution

    |

  3. The graphs of the polynomial x^(2)-1 and cos x intersect

    Text Solution

    |

  4. A point is in motion along a hyperbola y = (10)/(x) so that its abscis...

    Text Solution

    |

  5. Let a = min {x^(2) + 2x + 3 : x in R} and b = lim(theta rarr 0)(1-cos...

    Text Solution

    |

  6. Let a gt b gt 0 and I(n) = a^(1//n) - b^(1//n), J(n) = (a-b)^(1//n) fo...

    Text Solution

    |

  7. Let hat(alpha), hat(beta), hat(gamma)be three unit vectors such that h...

    Text Solution

    |

  8. The position vectors of the points A, B, C and D are 3hat(i) - 2hat(j)...

    Text Solution

    |

  9. A particle starts at the origin and moves 1 unit horizontally to the r...

    Text Solution

    |

  10. For any non-zero complex number z, the minimum value of |z| + |z-1| is

    Text Solution

    |

  11. Let A = ((3, 0, 3), (0, 3, 0), (3,0,3)). Then the roots of the equatio...

    Text Solution

    |

  12. If A and B are (-2, -2) and (2, -4) respectively, find the coordinates...

    Text Solution

    |

  13. Equation of a tangent to the hyperbola 5x^(2) - y^(2) = 5 and which pa...

    Text Solution

    |

  14. Let f and g be differentiable on the interval I and let a, b in I, a l...

    Text Solution

    |

  15. Consider the function f(x) = (x^(3))/(4) - sin pi x + 3

    Text Solution

    |

  16. Let I(n) = int(0)^(1) x^(n) tan^(-1) x dx. If a(n) I(n+2) + b(n)I(n) =...

    Text Solution

    |

  17. Two particles A and B move from rest along a straight line with consta...

    Text Solution

    |

  18. The area bounded by y = x + 1 and y = cos x and the x-axis, is

    Text Solution

    |

  19. Let x(1), x(2) be the roots of x^(2) - 3x + a = 0 and x(3), x(4) be th...

    Text Solution

    |

  20. If theta in RR and (1 +i cos theta)/(1-2 i cos theta) is real number,...

    Text Solution

    |