Home
Class 12
MATHS
Let vec a and vec b be two vectors along...

Let `vec a and vec b` be two vectors along diagonals of parallelogram having area `2sqrt2` Let angle between `veca and vecb` be acute `abs(veca)=1, abs(veca * vec b)=abs(veca xx vecb)`. If `vecc=2sqrt2(veca xx vecb)-2vecb` then an angle between `vecb and vecc` is

A

`pi/4` s

B

`-pi/4`

C

`(5pi)/6`

D

`(3pi)/4`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos
  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS |90 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos
  • JEE MAINS 2023 JAN ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|360 Videos

Similar Questions

Explore conceptually related problems

If veca and vecb are two vectors such that |veca|=1, |vecb|=4, veca.vecb=2 . If vecc=(2veca xx vecb)-3vecb , then the angle between veca and vecc is

If vecA xx vecB= vec0 and vecB xx vecC=vec0 , then the angle between vecA and vecC may be :

Let veca and vecb are vectors such that |veca|=2, |vecb|=3 and veca. vecb=4 . If vecc=(3veca xx vecb)-4vecb , then |vecc| is equal to

If veca and vecb are unit vectors such that (veca +vecb). (2veca + 3vecb)xx(3veca - 2vecb)=vec0 then angle between veca and vecb is

If veca +vecb +vecc =vec0, |veca| =3 , |vecb|=5 and |vecc| =7 , then the angle between veca and vecb is

Let veca, vecb, vec c such that |veca| = 1 , |vecb| = 1 and |vec c | = 2 and if veca xx (veca xx vec c ) + vec b = 0 then find acute angle between veca and vec c

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

If three unit vectors veca, vecb and vecc " satisfy" veca+vecb+vecc= vec0 . Then find the angle between veca and vecb .

The angle between (vecA xx vec B) and (vecB xx vecA ) is :

JEE MAINS PREVIOUS YEAR-JEE MAINS 2022-MATHEMATICS (SECTION - A)
  1. The number of complex number z satisfying abs(z-(4+3i))=2 and absz +ab...

    Text Solution

    |

  2. Let f (x) = {:abs((a,-1,0),(ax,a,-1),(ax^2, ax,a)):}, a in RR. Then th...

    Text Solution

    |

  3. For some alpha , beta in R , a = alpha- i beta. If system of equations...

    Text Solution

    |

  4. Let A and B be two 3 xx 3 matrices such that AB = I and abs(A) = 1/8. ...

    Text Solution

    |

  5. If S=2+6/7+12/7^2+20/7^3+. . . then find 4S

    Text Solution

    |

  6. If a1 , a2 , a3 . . . and b1 , b2 ,b3 ... are two A.P. and a1=2 , a(10...

    Text Solution

    |

  7. If m and n respectively are the number of local maximum and local mini...

    Text Solution

    |

  8. If f is differentiable function such that intcos x^1 t^2 f(t) dt =sin^...

    Text Solution

    |

  9. The value of int0^1 dx/(7^[[1/x]]) is ( where [.] denotes the greatest...

    Text Solution

    |

  10. If the solution curve of the differential equation ((tan^(-1)y)-x)dy =...

    Text Solution

    |

  11. If the equation of the parabola, whose vertex is at (5, 4) and the dir...

    Text Solution

    |

  12. The set of values of k, for which the circle C : 4x^2 + 4y^2 - 12 x +...

    Text Solution

    |

  13. Let foot of perpendicular from point (1,2,4) on line (x+2)/4=(y-1)/2=(...

    Text Solution

    |

  14. The shortest distance between the line (x-3)/2 = (y -2)/3 = (z - 1)/(-...

    Text Solution

    |

  15. Let vec a and vec b be two vectors along diagonals of parallelogram ha...

    Text Solution

    |

  16. The mean and variance of the data 4,5,6,6,7,8,x,y, where x lt y are 6 ...

    Text Solution

    |

  17. If a point A(x, y) lies in the region bounded by the y-axis, straight ...

    Text Solution

    |

  18. The value of cot(sum(n=1)^50 tan^-1((1)/(1+n+n^2))) is equal to

    Text Solution

    |

  19. alpha = sin 36^@ is root of which of the following equation

    Text Solution

    |

  20. Which of the following statement is a tautology ?

    Text Solution

    |