It can be shown that the cross product of two vectors, A = Ax i + Ay j + Az k, and B = Bx i + By j + Bz k is as follows:
A * B = (AyBz - AzBy) i + (AzBx - AxBz) j + (AxBy - AyBx) k
The cross product can then be written as follows, where we use the rules for evaluating a determinant. (Note, however, that this is not actually a determinant, but a memory aid.)
| i j k |
A * B = | Ax Ay Az |
| Bx By Bz |
Assume that A = 7.2 i - 4.3 j and B = -8.5 i + 7.0 j + 2.0 k.
(a) Use the above results to determine the vector product A x B.
i + j + k
(b) Use the above results to determine the angle between A and B.
2006-08-06
12:52:39
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2 answers
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asked by
Anonymous