Home
Class 12
MATHS
The vectors vec a=3 veci-2 vec j+2 vec ...

The vectors ` vec a=3 veci-2 vec j+2 vec k` and ` vec b=- vec i-2 vec k` are adjacent side of a parallelogram. Then angle between its diagonals is `pi/4` (b) `pi/3` (c) `(3pi)/4` (d) `(2pi)/3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The magnitudes of vectors vec a , vec b and vec c are respectively 1,1 and 2. If vec a x ( vec a x vec c )+ vec b= vec0 , then the acute angle between vec a& vec c is (a) pi/3 (b) pi/6 (c) pi/4 (d) None of these

Vectors vec a\ a n d\ vec b are such that | vec a|=3,\ | vec b|=2/3a n d\ ( vec axx vec b) is a unit vector. Write the angle between vec a\ a n d\ vec bdot

If vec a+2"" vec b+3"" vec c="" vec0 and |"" vec a|=6,|"" vec b|=3a n d|"" vec c|=2 , then angle between vec aa n d"" vec b is

If vec a=i+j ,\ vec b=j+k\ a n d\ vec c=k+i ,\ write unit vectors parallel to vec a+ vec b-2 vec c

If vec a and vec b are two vectors, such that vec a.vec b <0 and | vec a.vec b|=| vec axx vec b|, then the angle between vectors vec a and vec b is a. pi b. 7pi//4 c. pi//4 d. 3pi//4

If vec a and vec b are unequal unit vectors such that ( vec a- vec b)xx[( vec b+ vec a)xx(2 vec a+ vec b)]= vec a+ vec b , then angle theta between vec aa n d vec b is 0 b. pi//2 c. pi//4 d. pi

If vec aa n d vec b are any two vectors of magnitudes 1 and 2, respectively, and (1-3 vec adot vec b)^2+|2 vec a+ vec b+3( vec axx vec b)|^2=47 , then the angel between vec aa n d vec b is pi//3 b. pi-cos^(-1)(1//4) c. (2pi)/3 d. cos^(-1)(1//4)

Show that the vectors vec a-2 vec b+3 vec c , vec a-3 vec b+5 vec ca n d-2 vec a+3 vec b-4 vec c are coplanar, where vec a , vec b , vec c are non-coplanar.

If vec a and vec b are two vectors such that | vec a|=4,| vec b|=3 and vec a . vec b=6 . Find the angle between vec a and vec b .

Let the vectors vec(a) and vec(b) be such that |vec(a)|=3 and |vec(b)|= (sqrt2)/(3) , then vec(a) xx vec(b) is a unit vector, if the angle between vec(a) and vec(b) is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The vector hat i+x hat j+3 hat k is rotated through an angle theta an...

    Text Solution

    |

  2. The first term of a sequence of numbers is a1=5 . Succeeding terms are...

    Text Solution

    |

  3. The vectors vec a=3 veci-2 vec j+2 vec k and vec b=- vec i-2 vec k a...

    Text Solution

    |

  4. The distance between the middle point of B C and the foot of the perpe...

    Text Solution

    |

  5. If tangent and normal to the curve y=2sinx+sinx2x are drawn at p(x=(pi...

    Text Solution

    |

  6. The coefficient of x^5in(1+2x+3x^2+)^(-3//2)i s(|x|<1) 21 b. 25 c. 26...

    Text Solution

    |

  7. Vector vec a in the plane of vec b=2 hat i+ hat ja n d vec c= hat i-...

    Text Solution

    |

  8. 3 firemen X, Y and Z shoot at a common target. The probabilities that ...

    Text Solution

    |

  9. If vec a= hat i+ hat j+ hat k and vec b= hat i-2 hat j+ hat k , then ...

    Text Solution

    |

  10. If A^2+A+I=0 , then A is non-singular A!=0 (b) A is singular A^(-...

    Text Solution

    |

  11. If f(x), g(x) be twice differentiable function on [0,2] satisfying f''...

    Text Solution

    |

  12. Let A=[1 0 1 1] . Then which of following is not true? (lim)(nvecoo)1/...

    Text Solution

    |

  13. The set of values of lambda for which the vectors vec a=(lambda(log)2...

    Text Solution

    |

  14. If z1,z2,z3,z4 be the vertices of a parallelogram taken in anticlockwi...

    Text Solution

    |

  15. The value of the integral int(pi//3)^(pi//2)x sin(pi[x]-x)dx is (whe...

    Text Solution

    |

  16. If z1, z2, z3 are distinct nonzero complex numbers and a ,b , c in R^...

    Text Solution

    |

  17. Consider I1=int0^(pi//4)e^(x^2)dx ,I2=int0^(pi//4)e^x dx ,I3=int0^(pi/...

    Text Solution

    |

  18. lim(xto0)(sinx^(4)-x^(4)cosx^(4))/(x^(4)(e^(2x^(4))-1-2x^(4))) is

    Text Solution

    |

  19. IfAn=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ,bn=int0^(pi/2)((sinn x)/(sinx))...

    Text Solution

    |

  20. If A , B ,C are angles of a triangles, then the value of e^(2i A)e^(-i...

    Text Solution

    |