Wikipedia
dimensional vectors : Oct 1, 2009 ... To show that two finite-dimensional vector spaces are equal, one often uses the following criterion: if V is a finite-dimensional vector ..... More from Wikipedia
Which solid can be represented as a three dimensional picture using th..
Which solid can be represented as a three dimensional picture using the figure and vector? => pyramid or sphere or cylinder or circle..
Position vector
. In addition to this, the direction of the position vector gives the direction q in which P lies, as observed from 0. It is important to note that position vectors are different for different positions of the particle. The above explanation can be extended to a three dimen..
. In addition to this, the direction of the position vector gives the direction q in which P lies, as observed from 0. It is important to note that position vectors are different for different positions of the particle. The above explanation can be extended to a three dimen.. Science Daily
dimensional vectors : 3D computer graphics (in contrast to 2D computer graphics) are graphics that utilize a three-dimensional representation of geometric data that is stored in the computer for the purposes of performing calculations and rendering 2D images. See also: Computers & Math Computer Modeling Computer Graphics Computer Science Virtual Reality Information Technology Distributed Computing Such images may be for later display or for real-time viewing. Despite these differences, 3D computer graphics rely on many of the same algorithms as 2D computer vector graphics in the wire frame model and 2D computer raster graphics in the final rendered display. In computer graphics software, the distinction between 2D and 3D is occasionally blurred; 2D applications may use 3D techniques to achieve effects such as lighting, and primarily 3D may use 2D rendering techniques. 3D computer graphics are often referred to as 3D models. Apart from the rendered graphic, the model is contained within the graphical data fi.... More from Science Daily
demonstrations.wolfram.com The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Visualize a vector and its components as you fluidly move the vector endpoint. Contributed by: Greg Radighieri Based on a program by: Jenny Tan
Google Tech Talk October 9, 2009 ABSTRACT Presented by Yoav Freund, UCSD. Many read-world datasets can be characterized as follows: the "extrinsic dimension" of the data is high, but the "intrinsic dimension" is low. Consider for example the data generated by a motion capture device. Such a device typically tracks a few hundred dots located on a special suit worn by the tracked person. Each time point corresponds to a vector consisting of the (x,y,z) location of each dot. The extrinsic ...
Question : If we have two n-dimensional vectors with the same origin, in 2 dimensions they form a plane, as well as in 3 dimensions. Does it hold true for higher dimensions? Moreover, how do you determine the angle between the vectors if they're n-dimensional?
Answer : For space having any number of dimensions n, you can always write the equation of a plane in vector form as: (s, t) = P + su + tv where P is a point in the plane u and v are non-collinear vectors in n-space Parameters s and t are real numbers ________ As for determininig the angle between the vectors u and v in n-space: u v = || u || || v || cos cos = (u v) / (|| u || || v ||) = arccos[(u v) / (|| u || || v ||)] This approach works for any dimension n 2... More from Yahoo Answers
Answer : For space having any number of dimensions n, you can always write the equation of a plane in vector form as: (s, t) = P + su + tv where P is a point in the plane u and v are non-collinear vectors in n-space Parameters s and t are real numbers ________ As for determininig the angle between the vectors u and v in n-space: u v = || u || || v || cos cos = (u v) / (|| u || || v ||) = arccos[(u v) / (|| u || || v ||)] This approach works for any dimension n 2... More from Yahoo Answers
Question : How do you resolve three dimensional vectors?
Eg. [N 33 degrees E 44 degrees U]
Answer : I assume there is a comma between E and 44 and U means up Let V be the magnitude of the vector. i, j, k are unit vectors in x, y, z directions respectively The vector's projection in the x-y plane is Vcos44 90-33=57 That projection has components Vcos44[cos57 i + sin 57 j ] The projection of the vector on the z-axis is Vsin44 k So adding it up you have V{cos44*cos57 i + cos44*sin57 j + sin44 k }.. More from Yahoo Answers
Answer : I assume there is a comma between E and 44 and U means up Let V be the magnitude of the vector. i, j, k are unit vectors in x, y, z directions respectively The vector's projection in the x-y plane is Vcos44 90-33=57 That projection has components Vcos44[cos57 i + sin 57 j ] The projection of the vector on the z-axis is Vsin44 k So adding it up you have V{cos44*cos57 i + cos44*sin57 j + sin44 k }.. More from Yahoo Answers
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