We have hitherto spoken of two origins or points from which the vectorsare supposed to be drawn--one for the material system, the other for the diagram.
But no such point occurs in the second construction, because we use such vectors only as we can actually observe.
Let's talk after we finish here and work up formation options and vectorsfrom rendezvous.
Work out the nav for our fleet to the rendezvous; design formations, convergence and other vectors that'll keep the ships out of each other's way.
My chief navigator will issue sector orientation and vectors to each ship in the fleet so that we can form up for combat operations.
Then assuming that the acceleration of one point of a particular link of the mechanism is known together with the corresponding configuration of the mechanism, the two vectors Ac and ct can be drawn.
For if O, A, B be any three points, and m, n any scalar quantities, we have in vectors m .
The force-diagram is constructed by placing end to end a series of vectors representing the given forces in magnitude and direction, and joining the vertices of the polygon thus formed to an arbitrary pole O.
If we draw three vectors to represent these three couples, they will be perpendicular and proportional to the respective sides of the triangle ABC; hence the third vector is the geometric sum of the other two.
The momenta of the several particles constitute a system of localized vectors which, for purposes of resolving and taking moments, may be reduced like a system of forces in statics (S 8).
Newton's Second Law asserts that change of momentum is equal to the impulse; this is a statement as to equality of vectors and so implies identity of direction as well as of magnitude.
Vectors are said to be equal when their directions are the same their magnitudes equal.
Each sector vector is drawn in proportion to its percentage of the corresponding nightly station density; hence the vectors at each station are on an independent scale.
It should be borne in mind when interpreting these vectors that they are intended to represent the directions of flight only at the proximal ends, or junction points, of the arrows.
In Figure 39, the direction of the over-all vector resultant, obtained from the sector vectors on the preceding map, is plotted to show the net trend at each station.
In Figure 38, the individual sector vectors are mapped for the season for all stations with sufficient data.
The lengths of the sector vectors are determined by their respective densities expressed as a percentage of the station density for that night; the vector resultants are plotted from them by standard procedure.
The lengths of the vectors have been determined by their respective percentages of the total computed density, or total station magnitude, for all the nights in question.
In other words, the lengths of the individualvectors denote the percentile role that each night played in the total density.
Figures 46 and 47, particularly in regard to the unusual slants of the flight vectors at Ottumwa, Knoxville, and Memphis, illustrate that this coincidence holds even when the wind is proceeding obliquely eastward or westward.
Perhaps none of these eastward vectors represents an actual extended flight path.
Note: In a triangle, either side is the vector sum of the other two sides taken in proper order; the process finding the vector sum of two or more vectors is vector addition (see under Addition).
It is reasonable to assume that the vectors of these stresses were concentrated at the loci of their origin.
In both of these examples, the vectorsparalleled the plane of the cheek bones.
The magnitude and extent of the vectors of force transmitted through the occiput from the articulation with the vertebral column and from the pull of the axial musculature.
If the arthropods include vectors of disease there would be a serious increase in disease hazards.
It is useless to find out to what material body the ether may be compared, if we content ourselves with seeing in it a medium of which, at every point, two vectorsdefine the properties.
It was because Maxwell was accustomed to 'think in vectors,' and yet it was through the theory of imaginaries (neomonics) that vectorswere introduced into analysis.
If several bodies act simultaneously, it may happen that their actions are independent and are simply added to one another, either as vectors or as scalars.
In optical theories two vectors are introduced, of which one is regarded as a velocity, the other as a vortex.
The control of insect vectors of disease in war and peace.
The eggs of some helminths pass unharmed through the guts of cockroaches that serve as vectors of these ova and have no effect on the insect.
Cockroaches as vectors of hookworms on gold mines of the Witwatersrand.
Handbook on the parasitology of man together with a treatise on the vectors of transmissible diseases.
In that paper (1957a) we concluded that cockroaches, being potential vectors of pathogenic agents, should not be regarded simply as minor annoyances.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "vectors" in a variety of sentences. We hope that you will now be able to make sentences using this word.
