good old calculus III problem?
Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer algebra system or a graphing utility to verify your result. (Give your answer correct to 3 decimal places.)
u = i + j + k
v = j + k
i don’t even know where to start!! PLEASE show work and answer! i have to learn this for a test
The magnitude of the cross product of the vectors will be the area of such a parallelogram.
|a X b| = |a||b|sinA where a and b are vectors and A is the angle between the vectors.
This is identical to the formula for the area of a parallegram with sides a and b.
u X v =
|..i…j…k.|
| 1..1..1..| = -j + k
|.0..1..1..|
|u X v| = sqrt(2) = 1.414
MuPAD(Computer Algebra System による Taylor展開)
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