1 VECTOR ALGEBRA
1.1 Terminology and notation
The characteristics of a vector are the magnitude, the orientation, and the
sense. The magnitude of a vector is specified by a positive number and a unit
having appropriate dimensions. No unit is stated if the dimensions are those
of a pure number. The orientation of a vector is specified by the relationship
between the vector and given reference lines and/or planes. The sense of a
vector is specified by the order of two points on a line parallel to the vector.
Orientation and sense together determine the direction of a vector. The line
of action of a vector is a hypothetical infinite straight line collinear with the
vector. Vectors are denoted by bold face letters, e.g., a, b, A, B, CD. The
symbol |v| represents the magnitude (or module, or absolute value) of the
vector v. The vectors are depicted either by straight or curved arrows. A
vector represented by a straight arrow has the direction indicated by the
arrow. The direction of a vector represented by a curved arrow is the same
as the direction in which the right-handed screw moves when the screw’s axis
is normal to the plane in which the arrow is drawn and the screw is rotated
as indicated by the arrow.
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1 VECTOR Algebra
1.1 Istilahi na nukuu
sifa za vector ni ukubwa, mwelekeo, na
akili. ukubwa wa vector ni maalum kwa idadi chanya na kitengo
kuwa vipimo sahihi. Hakuna kitengo ni alisema kama vipimo ni wale
wa idadi safi. mwelekeo wa vector ni maalum na uhusiano
kati ya vector na kumbukumbu kutokana na mistari na / au ndege. hisia ya
vector ni maalum kwa amri ya pointi mbili juu ya line sambamba na vector.
Mwelekeo na hisia pamoja kuamua mwelekeo wa vector. line
ya hatua ya vector ni kubuni usio line moja kwa moja collinear na
vector. Vectors ni ulionyehsa kwa uso barua ujasiri, kwa mfano,, b, A, B, CD.
ishara | v | inawakilisha ukubwa (au moduli, au thamani kabisa) ya
v vector vectors taswira ama kwa mishale moja kwa moja au ikiwa..
vector kuwakilishwa na arrow moja kwa moja ina mwelekeo unahitajika kwa
mshale. mwelekeo wa vector kuwakilishwa na curved arrow ni sawa
kama mwelekeo ambao haki mitupu screw hatua wakati mhimili screw ya
kawaida ni kwa ndege katika ambayo arrow ni inayotolewa na screw ni kuzungushwa
kama unahitajika kwa mshale.
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