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

The vectors ` vec a=3 veco-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`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The vectors vec(AB)=3hati+2hat+2hatk and vec(BC)=-hati-2hatk are the adjacent sides of parallelogram. The angle between its diagonal is (A) pi/3 (B) pi/4 (C) (3pi)/4 (D) (2pi)/3

if the vectors vec a=vec i+vec j+vec k, , b=vec i-vec j+2vec k and vec c=xvec i+(x-2)vec j-vec k are coplanar then x is

If vec a = 2vec i-3vec j + vec k and vec b = -vec i + vec kvec c = 2vec j-vec k then the area of the parallelogram is having diagonals vec a + vec b and vec b + vec c is

vec a = -vec i + vec k and vec b = 2vec j-vec k are the underset aa = -vec i + vec k and vec b = 2vec j-vec k are the adjacent sides of a paralellogram then its vector area is

The sine of the angle between the vectors vec i+3vec j+2vec k and 2vec i-4vec j+vec k is

Let vec a,vec b and vec c be there unit vectors such that vec a xx(vec b xxvec c)=(sqrt(3))/(2)(vec b+vec c)* If vec b is not parallel to vec c, then the angle between vec a and vec b is: (1)(3 pi)/(4) (2) (pi)/(2)(3)(2 pi)/(3) (4) (5 pi)/(6)

If the adjacent sides of a parallelogram are vec i+2vec j+3vec k and -3vec i-2vec j+vec k then the area of the parallelogram is

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

If three vector 2vec i-vec j-vec k,vec i+2vec j-3vec k,3vec i+lambdavec j+5vec k are coplanar then the value of lambda is :

If | vec a | = 2, | vec b | = 7 and vec a xxvec b = 3vec i + 2vec j + 6vec k then vec a * vec b =

RESONANCE DPP-JEE MAINS-All Questions
  1. The value of sin^(-1){cot(sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)(sqrt(1...

    Text Solution

    |

  2. The number solution of the equation sgn(x^2)=|x-2| is 1 (b) 0 (c) 2...

    Text Solution

    |

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

    Text Solution

    |

  4. Number of roots of the equation 2sqrt(2x+1)=2x-1 is 0 (b) 1 (c) 2 (...

    Text Solution

    |

  5. If vec a= hat i+ hat j+ hat k& vec b= hat i-2 hat j+ hat i , then the...

    Text Solution

    |

  6. Find the integral solutions to the equation [x][y]=x+y . Show that all...

    Text Solution

    |

  7. Which of the following is/are correct? If vec a= hat i+ hat j and ve...

    Text Solution

    |

  8. Suppose a1,a2, real numbers, with a1!=0, If a1,a2,a3 are in AdotPdo...

    Text Solution

    |

  9. Consider the function f(x)={(1-a^x+x a^x ln a)/(a^xx^2); x<0(2^xa^x-x ...

    Text Solution

    |

  10. A triangle has two of its sides along the lines y=m1x&y=m2x where m1, ...

    Text Solution

    |

  11. The three vectors hat i+ hat j , hat j+ hat k , hat k+ hat i taken tw...

    Text Solution

    |

  12. The number of integer values of m , for which the x-coordinate of the ...

    Text Solution

    |

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

    Text Solution

    |

  14. Tangent and normal to the curve y=2s in x+s in2x are drawn at p(x=pi/3...

    Text Solution

    |

  15. If D=|[1/z,1/z,-(x+y)/(z^2)],[-(y+z)/(x^2),1/x,1/x],[-(y(y+z)/(x^2z))...

    Text Solution

    |

  16. The curve y=x^3+x^2-x has two horizontal tangents. The distance betwee...

    Text Solution

    |

  17. The exhaustive domain of f(x)=sqrt(x^(12)-x^9+x^4-x+1) is

    Text Solution

    |

  18. The point of intersection of tangent to the curve y=x^4 at (1,1) with ...

    Text Solution

    |

  19. Equation of straight line a x+b y+c=0 , where 3a+4b+c=0 , which is at ...

    Text Solution

    |

  20. Tangents are drawn from the point P(1,-1) to the circle x^2+y^2-4x-6y-...

    Text Solution

    |