Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Scalar Product (Dot Product)01:11

Scalar Product (Dot Product)

27.4K
The scalar multiplication of two vectors is known as the scalar or dot product. As the name indicates, the scalar product of two vectors results in a number, that is, a scalar quantity. Scalar products are used to define work and energy relations. For example, the work that a force (a vector) performs on an object while causing its displacement (a vector) is defined as a scalar product of the force vector with the displacement vector.
The scalar product of two vectors is obtained by multiplying...
27.4K
Vector Product (Cross Product)01:17

Vector Product (Cross Product)

27.9K
Vector multiplication of two vectors yields a vector product, with the magnitude equal to the product of the individual vectors multiplied by the sine of the angle between both the vectors and the direction perpendicular to both the individual vectors. As there are always two directions perpendicular to a given plane, one on each side, the direction of the vector product is governed by the right-hand thumb rule.
Consider the cross product of two vectors. Imagine rotating the first vector about...
27.9K
Primary Production01:06

Primary Production

25.3K
The total amount of energy acquired by primary producers in an ecosystem is called gross primary production (GPP). However, of this energy, producers use some for metabolic processes, and some is lost as heat, decreasing the amount of energy available to the next trophic level. The remaining usable amount of energy is called the net primary productivity (NPP). In terrestrial ecosystems, NPP is driven by climate, while light penetration and nutrient availability drive NPP in aquatic ecosystems.
25.3K
Production Efficiency01:01

Production Efficiency

18.3K
Net production efficiency (NPE) is the efficiency at which organisms assimilate energy into biomass for the next trophic level. Due to low metabolic rates and less energy spent on thermoregulatory processes, the NPE of ectotherms (cold-blooded animals) is 10 times higher than endotherms (warm-blooded animals).
18.3K
The Dot Product01:26

The Dot Product

263
Measuring how one directional quantity affects another along a specific path involves comparing their orientation and strength. When two such quantities are represented using direction and amount, a numerical result is computed to show how much one acts along the path of the other. This result comes from a rule combining both inputs' horizontal and vertical parts and adding the results.This calculation gives a single value that grows larger when both inputs point in similar directions and...
263
Dot Product01:29

Dot Product

965
The dot product is an essential concept in mathematics and physics.
In engineering, the dot product of any two vectors is the product of the magnitudes of the vectors and the cosine of the angle between them. It is denoted by a dot symbol between the two vectors.
Consider a vehicle pulling an object along the ground using a rope. If the rope makes an angle with the horizontal axis, the work done can be calculated using the dot product of the force applied and the object's displacement.
The dot...
965

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Invited Commentary: WHO 2022 Renal Cell Tumor Update Increases Complexity to Achieve Precision: Is There a Practical Application for Radiology?

Radiographics : a review publication of the Radiological Society of North America, Inc·2026
Same author

Real-World Effectiveness of Upadacitinib for Perianal Crohn's Disease: A Multicenter Retrospective Study.

Clinical gastroenterology and hepatology : the official clinical practice journal of the American Gastroenterological Association·2026
Same author

Bladder cancer segmentation using u-net-based deep-learning.

Scientific reports·2026
Same author

Elective MRI Screening of the General Public-Buyer Beware.

JAMA·2026
Same author

Erratum for: Evaluation, Optimization, and Validation of a Multiparametric CT Algorithm for Solid Renal Masses: CT-Score Version 2.0.

Radiology. Imaging cancer·2026
Same author

Evaluation, Optimization, and Validation of a Multiparametric CT Algorithm for Solid Renal Masses: CT-Score Version 2.0.

Radiology. Imaging cancer·2026
Same journal

Deep Learning for Opportunistic Vertebral Fracture Detection on Routine Thoraco-abdominal Computed Tomography: A Systematic Review and Hierarchical Summary Receiver Operating Characteristic Meta-analysis of Patient-level Diagnostic Test Accuracy.

Academic radiology·2026
Same journal

"Where are They Now?": A Single Institution's 10-Years Experience with an Integrated Nuclear Radiology Fellowship.

Academic radiology·2026
Same journal

Dual-layer Spectral Detector CT Quantitative Parameters for Predicting Tumor Budding Grade and Prognosis in Stage Ⅱ Colorectal Cancer.

Academic radiology·2026
Same journal

Promotion from Associate Professor to Full Professor Should Not Be Monolithic: A National Bibliometric Study by Radiology Subspecialty.

Academic radiology·2026
Same journal

Technological Lag of Digitization for Patient Image Transfer.

Academic radiology·2026
Same journal

Prognostic Value of Coronary Sinus Flow and Aortic Pressure Gradient Quantified by 4D Flow CMR in AMI.

Academic radiology·2026
See all related articles

Related Experiment Video

Updated: Feb 2, 2026

Use of High-Throughput Automated Microbioreactor System for Production of Model IgG1 in CHO Cells
08:15

Use of High-Throughput Automated Microbioreactor System for Production of Model IgG1 in CHO Cells

Published on: September 28, 2018

11.5K

Productivity, Meet Burnout

Richard H Cohan1, Matthew S Davenport1

  • 1Department of Radiology, University of Michigan Hospital, Ann Arbor, MI 48109-5030.

Academic Radiology
|November 30, 2018
PubMed
Summary

No abstract available in PubMed .

More Related Videos

Lentivirus Production
11:42

Lentivirus Production

Published on: October 2, 2009

67.5K
Improving Reproducibility to Meet Minimal Information for Studies of Extracellular Vesicles 2018 Guidelines in Nanoparticle Tracking Analysis
08:52

Improving Reproducibility to Meet Minimal Information for Studies of Extracellular Vesicles 2018 Guidelines in Nanoparticle Tracking Analysis

Published on: November 17, 2021

2.8K

Related Experiment Videos

Last Updated: Feb 2, 2026

Use of High-Throughput Automated Microbioreactor System for Production of Model IgG1 in CHO Cells
08:15

Use of High-Throughput Automated Microbioreactor System for Production of Model IgG1 in CHO Cells

Published on: September 28, 2018

11.5K
Lentivirus Production
11:42

Lentivirus Production

Published on: October 2, 2009

67.5K
Improving Reproducibility to Meet Minimal Information for Studies of Extracellular Vesicles 2018 Guidelines in Nanoparticle Tracking Analysis
08:52

Improving Reproducibility to Meet Minimal Information for Studies of Extracellular Vesicles 2018 Guidelines in Nanoparticle Tracking Analysis

Published on: November 17, 2021

2.8K