parallelogram problem !!! :)

Question

praxer · Answer

a= 2i^-3j^+k^   b=-i^+k^    c= 2j^-k^ find the are of the parallelogram  having diagonals a+b and b+c...

ganeshie8 · Answer

hint : magnitude of cross product

praxer · Answer

but can it be that the side a be equal to the side b because if we draw and take the a to be the left side and b to the top and and bottom side and c to be the right than only it fall into the requirements but a is not equal to c.. So,, i am confused...

praxer · Answer

attachment

ganeshie8 · Answer

i need to go now, il tag an expert  @ikram002p  plese save us

ikram002p · Answer

|dw:1386776251498:dw|

ikram002p · Answer

nw u oly need to find the cross product as ganesh said

praxer · Answer

which mean that the sides a and c are similar and are equal and opposite but can it be....

ikram002p · Answer

well ,r u sure from the vectors ??

praxer · Answer

yup I am sure.

ikram002p · Answer

ok lets think of onther way
lets find 
a+b
b+c

ikram002p · Answer

ok we have
a+b= i-3j+2k
b+c=-i+2j

praxer · Answer

ya..

ikram002p · Answer

|dw:1386777043167:dw|

ikram002p · Answer

but u can shift them to make them as diagonal |dw:1386777201791:dw|

praxer · Answer

followed.

ikram002p · Answer

nw consider  the properties of the parallelogram diagonals 
they bisect each other

ikram002p · Answer

|dw:1386777413793:dw|