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Magnitude
The magnitude of a vector, as discussed earlier, can be found with function
ABS. This function is also available from the keyboard (
„Ê).
Examples of application of function ABS were shown above.
Dot product
Function DOT (option 2 in CHOOSE box above) is used to calculate the
dot product of two vectors of the same length. Some examples of
application of function DOT, using the vectors A, u2, u3, v2, and v3,
stored earlier, are shown next in ALG mode. Attempts to calculate the dot
product of two vectors of different length produce an error message:
Cross product
Function CROSS (option 3 in the MTH/VECTOR menu) is used to calculate
the cross product of two 2-D vectors, of two 3-D vectors, or of one 2-D and
one 3-D vector. For the purpose of calculating a cross product, a 2-D
vector of the form [A
x
, A
y
], is treated as the 3-D vector [A
x
, A
y
,0].
Examples in ALG mode are shown next for two 2-D and two 3-D vectors.
Notice that the cross product of two 2-D vectors will produce a vector in the
z-direction only, i.e., a vector of the form [0, 0, C
z
]:
SG49A.book Page 7 Friday, September 16, 2005 1:31 PM