Thread: area of parallelogram using vector diagonals

1. area of parallelogram using vector diagonals

Find the area of the parallelogram having diagonals:
A=3i+j-2k
B=i-3j-4k

also
Find the volume of the parallelepiped whose edges are represented by:
A=2i-3j+4k
B=i+2j-k
C=3i-j=2k

Find the area of the parallelogram having diagonals:
A=3i+j-2k
B=i-3j-4k
The area of a parallelogram having u and v as edges is given by $|u\times v|$.
Further, the two diagonals are u+ v and u- v where u is longer than v. If B= u+ v and A= u- v, what are u and v in terms of A and B?

also
Find the volume of the parallelepiped whose edges are represented by:
A=2i-3j+4k
B=i+2j-k
C=3i-j=2k
$A\cdot(B\times C)$, of course.

3. thank u