The resulting video tracks were slightly less than a ninety-degree angle ( considering the vector addition of high-speed spinning heads tracing across the 15 inches per second forward motion of the tape ).
32.
Then e . g . \ vec { 0 } \ in C _ W and, and the vector addition, the scalar multiplication, and the inner product is declared as, and, respectively.
33.
This centripetal force is not a third force applied to the ball, but rather must be provided by the net force on the ball resulting from vector addition of the normal force and the force of gravity.
34.
StarLisp consisted of standard operations on PVARS, like vector addition and multiplication, along with communications primitives that essentially reordered the elements of a PVAR using the CM's communications hardware to optimally route the data.
35.
The resultant or net force on the ball found by vector addition of the normal force exerted by the road and vertical force due to gravity must equal the centripetal force dictated by the need to travel a circular path.
36.
The elements of " L " are the " vectors " and the elements of " K " are the " scalars ", with vector addition and scalar multiplication obtained from the corresponding field operations.
37.
In order for the formula to generalize to vector addition in hyperbolic space of dimensions greater than 3, the formula must be written in a form that avoids use of the cross product in favour of the dot product.
38.
Combining two successive rotations, each represented by an Euler axis and angle, is not straightforward, and in fact does not satisfy the law of vector addition, which shows that finite rotations are not really vectors at all.
39.
Forces, being vectors are observed to obey the laws of vector addition, and so the overall ( resultant ) force due to the application of a number of forces can be found geometrically by drawing vector arrows for each force.
40.
The two-dimensional integer lattice, consisting of the points in the plane with integer Cartesian coordinates, forms a free abelian group under vector addition with the basis { ( 0, 1 ), ( 1, 0 ) }.
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