Home
Class 12
MATHS
If abs(veca)=3 abs(vecb)=4 and theta lie...

If `abs(veca)=3 abs(vecb)=4` and `theta` lies between `pi/3 le theta le pi/4` then find `abs((vecb-veca)xx(vecb+veca))^2+4(veca*vecb)^2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

veca*vecb=abs(vecaxxvecb) then abs(veca-vecb) is

Prove that: |(veca+vecb)xx(veca-vecb)|=2ab if veca_|_vecb

If |veca|=3, |vecb|=4 and the angle between veca and vecb is 120^(@) . Then find the value of |4 veca + 3vecb|

If |veca|=3, |vecb|=4 and the angle between veca and vecb is 120^(@) . Then find the value of |4 veca + 3vecb|

If veca, vecb, vecc are unit vectors such that veca. Vecb =0 = veca.vecc and the angle between vecb and vecc is pi/3 , then find the value of |veca xx vecb -veca xx vecc|

Prove that (veca+3vecb)xx(veca+vecb)+(3veca-5vecb)xx(veca-vecb)=0

If veca and vecb are two unit vectors inclined at an angle pi//3 then { veca xx (vecb+veca xx vecb)} .vecb is equal to

If |veca.vecb|= |veca xx vecb| , then the angle between veca and vecb is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Consider P1 :~(p to ~q) and P2:(p wedge ~q) wedge ((~p) vvq) If p to ...

    Text Solution

    |

  2. If y=y(x) be the solution of given equation y^2dx+(x^2-xy+y^2)dy=0 and...

    Text Solution

    |

  3. If abs(veca)=3 abs(vecb)=4 and theta lies between pi/3 le theta le pi/...

    Text Solution

    |

  4. If f(x)={(2(1-x/2))^25(2+x)^25}^(1/50) and g(x)=f(f(f(x)))+f(f(x)) the...

    Text Solution

    |

  5. If Q is the mirror image of P(-1,0,-1) with respect to plane x+y+z=5 a...

    Text Solution

    |

  6. Let A=[(0,-2),(2,0)] and M=sum(k=1)^10 A^(2k) , N=sum(k=1)^10 A^(2k-1)...

    Text Solution

    |

  7. Let E1 and E2 be two events such that P(E1/E2)=1/2 , P(E2/E1)=3/4, P(E...

    Text Solution

    |

  8. If the sum of first n terms of two A.P's are in the ratio 3n+8:7n+15 t...

    Text Solution

    |

  9. (.^25C0)^2+(.^25C1)^2+(.^25C2)^2+. . . +(.^25C25)^2=k then find the va...

    Text Solution

    |

  10. The value of tan^-1((cos((15pi)/4)-1)/sin(pi/4)) is equal to

    Text Solution

    |

  11. What will be the coefficient of x^101 in (5+x)^500+x(5+x)^499+x^2(5+x)...

    Text Solution

    |

  12. Find the sum of 1.3+2.3^2+3.3^3+ . . . + 10.3^9

    Text Solution

    |

  13. If there is a biased dice with number "2,4,8,16,32,32" and probability...

    Text Solution

    |

  14. 2 sin 12^@-sin 72^@=?

    Text Solution

    |

  15. y=y(x) is the solution of the differential equation 2x^2dy/dx-2xy+8y^2...

    Text Solution

    |

  16. A={x in R : abs(x+1) lt 2} , B={x in R: abs(x-1) ge 2} then

    Text Solution

    |

  17. If the angle made by tangent at point (x0,y0) on the curve x=12(t+sint...

    Text Solution

    |

  18. The area of region enclosed between the parabolas y^2=2x-1 & y^2=4x-3 ...

    Text Solution

    |

  19. The negation of ((p wedge~q ) implies ((~p) vv q)

    Text Solution

    |

  20. y=x+1 intersect the ellipse x^2/4+y^2/2=1 at the point P and Q. PQ is ...

    Text Solution

    |