Perpendicular means that the angle between the two vectors is 90 degrees - a right angle. If you have the vectors as components, just take the dot product - if the dot product is zero, that means either that the vectors are perpendicular, or that one of the vectors has a magnitude of zero.
Two vectors are identical when all their components are identical. An alternative definition, for vectors used in physics, is that they are identical when both the magnitude and the direction are identical.
Yes.
No. Their magnitudes are equal (that's why they're "unit" vectors), but their directions are different.
Two vectors having same magnitude but different direction are called equivalent vectors.
The law is used to add vectors to find the resultant of two or more vectors acting at a point.
None. They are ideal for certain applications.
In biotechnology, vectors can include plasmids, bacteriophages, and viral vectors. These vectors are used to transfer genetic material into host cells for various applications such as gene cloning, gene therapy, and protein production. Plasmids are commonly used in recombinant DNA technology, while viral vectors are often used in gene therapy.
Nucleic acid molecules used to deliver new genes to cells are called vectors. These vectors can be viruses (viral vectors) or artificially constructed pieces of DNA or RNA (non-viral vectors), and are essential for gene therapy research and applications.
Types of Inverter Applications. Take a look at the related link for more details.
Vectors have a lot of applications in physics and engineering. Velocity, acceleration and forces are vectors. For example, you can use vectors to determine the total distance travelled by a boat travelling across a river at 25 miles/hour while the river flows perpendicular to the boat at 10 miles/hour. There are loads of other applications. Vectors can be used to predict the movement of planets in their orbits, and are useful for 3D geometry in general. Vectors are also essential in electromagnetics, where they are used to represent electric and magnetic fields and their relationships. Maxwell's equations are equations which use vectors. The Poynting vector is used to calculate the flow of electromagnetic energy through space, for example by radio waves or light.
we can measure the expansion of the world by matrices cause in magnetic fields vectors can be streched up to a certain limit which are the eigen values.
Vectors in electromagnetism are used to represent physical quantities like electric field, magnetic field, and current. They help in describing the direction and magnitude of these quantities in a convenient and compact manner. Additionally, vectors are essential for understanding electromagnetic phenomena such as electromagnetic waves, Maxwell's equations, and electromagnetic fields around charges and currents.
Vectors are used in navigation systems to determine direction and distance, in computer graphics to represent objects and their movement, and in physics to describe forces and motion. They are also used in engineering for designing structures and analyzing forces, and in sports for measuring player performance and movement.
The three types of vectors are position vectors, displacement vectors, and force vectors. Position vectors represent the position of a point in space relative to a reference point, displacement vectors represent the change in position of an object, and force vectors represent the interaction between objects that can cause acceleration.
Vectors of the arthropod.
Jarvis has written: 'Sequential constructions of orthonormal basis vectors, with statistical applications' -- subject(s): Regression analysis, Matrices, Vector analysis