Consider a parallelogram whose adjacent sides are given by a with rightwards arrow on top= 2m with rightwards arrow on top + n with rightwards arrow on top and b with rightwards arrow on top = m with rightwards arrow on top - 2n with rightwards arrow on top, where m with rightwards arrow on top and n with rightwards arrow on top are unit vectors inclined at an angle of 60 degree.
Then answer the following:
 
I) Express both the diagonals in vector form.
II) Length of both the diagonals.
III) The area of the parallelogram.
IV) The angle between the diagonals.

Asked by abhishek_nayak98 | 2nd Jun, 2014, 08:10: PM

Expert Answer:

1) The diagonals of the parallelogram are Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '. + Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '. and Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '.
Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '. = Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '.
Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '. = Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '.
2) l(Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '.) = Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '. = Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '.
l(Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '.) = Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '. = Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '.
3) Area of parallelogram = Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '.
Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '.
Therefore Area of the parallelogram is 5 square units.
4) let the angle between the diagonals be Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '.
Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '.
Therefore angle between the diagonals is 90 degree.

Answered by Ravindra Kapal | 5th Jun, 2014, 07:31: PM