Home
Class 12
PHYSICS
A parallelogram is fromed withveca and ...

A parallelogram is fromed with`veca` and `vecb` as the sides let `vecd_(1)` and `vecd_(2)` be the diagonals of the parallelogram , them `a^(2) +b^(2)=`

A

`((d_(1)^(2)-d_(2)^(2)))/(2)`

B

`((d_(1)^(2)+d_(2)^(2)))/(2)`

C

`(d_(1)^(2)+d_(2)^(2))`

D

`(d_(1)^(2)-d_(2)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • ROTATIONAL MOTION

    TARGET PUBLICATION|Exercise MCQ|245 Videos

Similar Questions

Explore conceptually related problems

If the area of the parallelogram with veca and vecb as two adjacent sides is 15 sq unit ,than the area of the parallelogram having, 3veca + 2vecb and veca + 3 vec b as two adjacent sides in sq unit is

Show that area of the parallelogram whose diagonals are given by veca and vecb is (|veca xx vecb|)/2 . Also, find the area of the parallelogram, whose diagonals are 2hati - hatj + hatk and hati + 3hatj - hatk .

Vectors along the adjacent sides of parallelogram are veca = hati +2hatj +hatk and vecb = 2hati + 4hatj +hatk . Find the length of the longer diagonal of the parallelogram.

Diagonals of a parallelogram are respresented by vectors vecA = 5hati - 4hatj + 3hatk and vecB = 3hati +2hatj - hatk . Area of the parallelogram is :

(a) In the figure here, what are the signs of the x components of vecd_(1) and vec d_(2) ? (b) What are the signs of the y components of vecd _(1) and vec d_(2) ? (c ) What are the signs of the x and y components of vecd _(1) + vecd _(2) ?

A parallelogram is constructed on 3veca+vecb and veca-4vecb, where |veca|=6 and |vecb|=8 and veca and vecb are anti parallel then the length of the longer diagonal is (A) 40 (B) 64 (C) 32 (D) 48

Statement 1 : If |veca + vecb| = |veca - vecb| , then veca and vecb are perpendicular to each other. Statement 2 : If the diagonals of a parallelogram are equal in magnitude, then the parallelogram is a rectangle.

ABCD is parallelogram vecA, vecB, vecC and vecD are the position vectors of vecticles A, B, C, and D with respect to any origin, them:

If (veca xxv vecb) xx (vecc xx vecd) . (veca xx vecd) =0 then which of the following may be true ?

The diagonals of a parallelogram are vectors vecA and vecB . If vecA=5hati-4hatj+3hatk and vecB=3hati-2hatj-hatk . Calculate the magnitude of area of this parallelogram.

TARGET PUBLICATION-QUESTION PAPER 2019-MCQ
  1. A student measures time for 20 oscillations of a simple pendulum as 30...

    Text Solution

    |

  2. The resultant of two vectors vecA and vecB" is "vecC. If the megnitude...

    Text Solution

    |

  3. A parallelogram is fromed withveca and vecb as the sides let vecd...

    Text Solution

    |

  4. The centre of mass of two particles system lies

    Text Solution

    |

  5. An aircraft is moving on a runway for its take off. The wind speed on ...

    Text Solution

    |

  6. The ray of light travels from raer medium to denser medium of refracti...

    Text Solution

    |

  7. For concave mirror, if the object is within the focal length, its imag...

    Text Solution

    |

  8. If same current 'I' is flowing through two parallel wires, separted by...

    Text Solution

    |

  9. At the magnetic north pole of the earth, the value of horizontal compo...

    Text Solution

    |

  10. A straight wire carring current I is turned into a circular loop. If t...

    Text Solution

    |

  11. The angular separation between the minute hand and hour hand of a cloc...

    Text Solution

    |

  12. Which of the following statements is false? Centripetal force and cent...

    Text Solution

    |

  13. According to Kepler's Law, the areal velocity of the radius vector dra...

    Text Solution

    |

  14. A body mass 'm' is dropped from heinght R/2, from earth's surface, whe...

    Text Solution

    |

  15. A ballet dancer spins about vertical axis at 1.5pi rad//s with arms ou...

    Text Solution

    |

  16. When 'W' joule of work is done on a flywheel, its frequency of rotatio...

    Text Solution

    |

  17. A uniform cylinder has radius R and length L. If the moment of inertia...

    Text Solution

    |

  18. A massless spring, having force constant k, oscillates with frequency ...

    Text Solution

    |

  19. A particle performs S.H.M. starting from extreme position. The phase c...

    Text Solution

    |

  20. A body is executing simple harmonic motion. At a displacement x its po...

    Text Solution

    |