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What are the coplanar vectors in mathematics?
Vectors that sum to zero are coplanar and coplanar vectors sum to zero.
What is matrix in mathematics?
A matrix is a field of numbers with rows and columns (see example below). They can reperesent many different things and have numerous applications, especially in computer science. They can also be used in physics, as columns are often vectors that are analyzed together for one reason or another. Linear Algebra involves the study of matrices. Example: | 2 3 8 | | 5 6 1 | | 4 2 7 |
What is the relantionship between x and y?
On the Cartesian plane x is the horizontal axis and y is the vertical axis and they intersect at right angles at the origin (0,0))
Who developed branch of mathematics as calculus?
Sir Isaac Newton.
What is the cardiod in mathematics?
In polar coordinates, p = 1 - sin(theta)
What are the spherical to cartesian unit vectors?
The spherical to cartesian unit vectors are used to convert coordinates between spherical and cartesian systems. They are denoted as ( hatr ), ( hattheta ), and ( hatphi ), representing the radial, azimuthal, and polar directions respectively.
What are the coplanar vectors in mathematics?
Vectors that sum to zero are coplanar and coplanar vectors sum to zero.
Can any vector be represented by two other vectors that are right angels to each others?
Yes. This is the basis of cartesian vector notation. With cartesian coordinates, vectors in 2D are represented by two vectors, those in 3D are represented by three. Vectors are generally represented by three vectors, but even if the vector was not in an axial plane, it would be possible to represent the vector as the sum of two vectors at right angles to eachother.
What is Cartesian?
Cartesian refers to the philosopher and mathematician Ren
What is a quadrant in mathematics?
quadrant in mathematical terms is a section on a Cartesian plane there are 4 quadrants on a Cartesian plane
What is important of mathematics in physics subject?
Vectors.
What does the cross product of two vectors represent in mathematics?
The cross product of two vectors in mathematics represents a new vector that is perpendicular to both of the original vectors. It is used to calculate the area of a parallelogram formed by the two original vectors and to determine the direction of a resulting force in physics.
What is the difference between covariant and contravariant transformations in mathematics?
In mathematics, covariant transformations involve changing the basis vectors, while contravariant transformations involve changing the components of vectors.
Why are vectors considered to be vectors?
Vectors are considered vectors because they have both magnitude (size or length) and direction. This property distinguishes vectors from scalars, which only have magnitude. In physics and mathematics, vectors are essential for representing physical quantities like force, velocity, and displacement that have both size and direction.
What were René Descartes main contributions to mathematics?
He introduced coordinated geometry and the Cartesian plane
Is weight and displacement a set of vectors?
No, weight and displacement is not a set of vectors. A vector in the area of mathematics is defined as a direction as well as a magnitude of a specific item. Vectors can be labeled in a variety of ways.
Dot product of unit vectors of cartesian and cylindrical coordinate system?
Unit vectors are perpendicular. Their dot product is zero. That means that no unit vector has any component that is parallel to another unit vector.
