Vector Subtraction
Vector Subtraction - Related Videos
09:20
Vectors in Multiple Directions
0 Views •
2023
Source: Nicholas Timmons, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA This experiment demonstrates how vectors add and subtract in multiple directions. The goal will be to analytically calculate the addition or subtraction of multiple vectors and then to experimentally confirm the calculations. A vector is an object with both magnitude and direction. The magnitude of a vector is simply denoted as the length,...
09:43
Measuring Reaction Time and Donders' Method of Subtraction
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2023
Source: Laboratory of Jonathan Flombaum—Johns Hopkins University The ambition of experimental psychology is to characterize the mental events that support the human ability to solve problems, perceive the world, and turn thoughts into words and sentences. But people cannot see or feel those mental events; they cannot be weighed, combined in test tubes, or grown in a dish. Wanting to study mental life, nonetheless, Franciscus Donders, a Dutch ophthalmologist in the early 1800s, came up with a...
01:22
Detection of Internal Carotid Artery Narrowing Using Digital Subtraction Angiography
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2025
Position a human patient with internal carotid stenosis, a condition characterized by narrowing of the internal carotid artery, on the imaging table for digital subtraction angiography (DSA). Insert an angiocatheter into the common carotid artery at the fourth cervical vertebra level. Capture a pre-contrast X-ray image to record background structures like bones and soft tissues using X-ray irradiation. Administer an iodine-based contrast medium into the carotid artery. The contrast medium...
09:40
Novel Sequence Discovery by Subtractive Genomics
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Cited by 8 •
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The purpose of this protocol is to use a combination of computational and bench research to find novel sequences that cannot be easily separated from a co-purifying sequence, which may be only partially known.
10:42
A Protocol for the Production of Integrase-deficient Lentiviral Vectors for CRISPR/Cas9-mediated Gene Knockout in Dividing Cells
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Cited by 21 •
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We describe the production strategy of integrase-deficient lentiviral vectors (IDLVs) as vehicles for delivering CRISPR/Cas9 to cells. With an ability to mediate quick and robust gene editing in cells, IDLVs present a safer and equally effective vector platform for gene delivery compared to integrase-competent vectors.
FAQs
Reversing the vector being subtracted creates its negative, which points in the opposite direction while retaining the same magnitude. Adding this reversed vector to the first gives the difference vector. In a head-to-tail diagram, this construction shows both the direction and size of the change required to relate the two original directed quantities.
Subtract corresponding components separately. For two-dimensional vectors, the horizontal component of one vector is subtracted from the other horizontal component, and the same procedure is used for the vertical components. Three-dimensional systems add the corresponding third component. Combining these component differences produces the resulting vector, including its spatial direction.
The order determines which vector is reversed before addition. Subtracting one vector from another therefore produces a directed result associated with that specific relationship; exchanging the original vectors reverses the resulting direction. This matters when interpreting changes in position, velocity differences, or the direction needed to connect two measurements.
First, draw both vectors with consistent scales and reference directions. Reverse the direction of the vector being subtracted, then place that reversed vector head-to-tail with the first vector. The arrow from the starting point to the final endpoint represents the difference. Its length indicates magnitude, while its orientation indicates direction.
For relative velocity, subtracting one velocity vector from another gives the directed difference between their motions, rather than comparing speeds alone. Applied to position vectors, the same operation identifies the change or spatial separation needed to relate two locations. These results preserve directional information, which is essential for analyzing motion in multiple dimensions.
Force comparisons can use subtraction to determine the directed difference between two force vectors, helping describe how their effects relate in a system. The operation also identifies differences between measured vector quantities rather than only comparing numerical values. In analyses of equilibrium and spatial relationships, both the magnitude and direction of the result remain important.