Assuming you want non-zero vectors, two opposing vectors will give a resultant of zero.
24 and 719 is not enough information to define a slope. For 2-dimensional space two ordered pairs are the minimum required.
In real life unit vectors are used for directions, e.g east, north and up(zenith). The unit vector specifies the direction. Gyroscopes maintain a direction and keep things level. Whenever and where ever location is important, unit vectors are a part of real life. Whenever directions are important in your real life, then unit vectors are important. If everything was confined to move along a straight line, then unit vectors would not be important. If you can move in a plane, then unit vectors are important. Moving in space, unit vectors are more important. cars, ships and planes all move in space. Controlling and tracking these all involve unit vectors.
In real life unit vectors are used for directions, e.g east, north and up. The unit vector specifies the direction. Gyroscopes maintain a direction and keep things level. Whenever and where ever location is important, unit vectors are a part of real life. Whenever directions are important in your real life, then unit vectors are important. If everything was confined to move along a straight line, then unit vectors would not be important. If you can move in a plane, then unit vectors are important. Moving in space, unit vectors are more important. cars, ships and planes all move in space. Controlling and tracking these all involve unit vectors.
No.A vector space is a set over a field that has to satisfy certain rules, called axioms. The field in question can be Z2 (see discussion), but unlike a field, a vector's inverse is distinct from the vector. Therefore, in order to satisfy the "inverse elements of addition" axiom for vector spaces, a vector space must minimally (except if it is the null space) have three vectors, v, 0, and v-1. The null space only has one vector, 0.Field's can allow for two distinct elements, unlike vector spaces, because for any given element of a field, for example a, a + (-a) = 0 meets the inverse axiom, but a and -a aren't required to be distinct. They are simply scalar magnitudes, unlike vectors which can often be thought of as having a direction attached to them. That's why the vectors, v and -v are distinct, because they're pointing in opposite directions.
There does not seem to be an under vector room, but there is vector space. Vector space is a structure that is formed by a collection of vectors. This is a term in mathematics.
If none of the individual vectors has a magnitude of zero, thenthe minimum number that can combined to make zero is two.
Some sources of error in determining a resultant by adding vectors graphically include inaccuracies in measuring the lengths and angles of the vectors, mistakes in the scale or orientation of the vector diagram, and human error in drawing and aligning the vectors correctly on the graph. Additionally, errors can arise from distortion in the representation of vectors on a two-dimensional space when dealing with vectors in three dimensions.
In physics, the resultant is the vector sum of two or more vectors. It represents the net effect of all the individual vectors acting together. The resultant takes into account both the magnitude and direction of each vector to determine the overall effect.
When performing the cross product of two vectors (vector A and vector B), one of the properites of the resultant vector C is that it is perpendicular to both vectors A & B. In two dimensional space, this is not possible, because the resultant vector will be perpendicular to the plane that A & B reside in. Using the (i,j,k) unit vector notation, you could add a 0*k to each vector when doing the cross product, and the resultant vector will have zeros for the i & jcomponents, and only have k components.Two vectors define a plane, and their cross product is always a vector along the normal to that plane, so the three vectors cannot lie in a 2D space which is a plane.
The magnitude of a vector is 0 if the magnitude is given to be 0.The magnitude of the resultant of several vectors in n-dimensional space is 0 if and only if the components of the vectors sum to 0 in each of a sewt of n orthogonal directions.
The minimum required clear space on a basketball court depends on which kind of court it is. An NCAA court has a minimum of 25', while a recreational facility's minimum is 20'.
The minimum space required for a toilet and sink to be installed in a bathroom is typically around 30 inches by 60 inches.
Vectors in three-dimensional space was created in 1978.
The answer given below (by myself) is wrong. The correct answer is four or more.It is possible to represent any set of vectors with a zero resultant as a closed straight-lined figure in 3-dimensional space (or in hyperspace with more dimensions).Any three points must make a triangle which is a plane shape, so the minimum number required for the vectors to be non coplanar is four. There is no maximum.All you need is a polygon, grab a couple of vertices and twist so that the shape is no longer planar.- - - - - - - - - -Three.ConsiderA = -i + 2jB = -2j + 3kandC = i -3kThenA is in the xy-planeB is in the yz-planeand C is in the xz-planeso they are non co-planar.Also|A| = sqrt(5)|B| = sqrt(13), and|C| = sqrt(10)so that A ≠B ≠C ≠ABut A + B + C = 0
Rational dimension refers to the dimension of a vector space over the field of rational numbers. It is the minimum number of linearly independent vectors needed to span the entire vector space. The rational dimension can differ from the ordinary dimension of a vector space if the vectors are over a field other than the rational numbers.
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