(-y, x) is generally a point in the Cartesian plane - not a vector nor a scalar.
You can have a vector going from any point in the plane to the point (-y, x) but that is not the same thing.
The modulus of a vector is its absolute value. It is the [positive] size or magnitude of the vector, ignoring its direction.In two dimensional space, and using Pythagoras,the modulus of the vector (x,y) is sqrt(x^2 + y^2)In 3-dimensional space, the modulus of the vector (x, y, z) is sqrt(x^2 + y^2 + z^2)The concept can be extended to higher dimensions analogously.
It is a three dimension vector : (x, y, z). It could be either a row vector or a column vector.
It is the cross product of two vectors. The cross product of two vectors is always a pseudo-vector. This is related to the fact that A x B is not the same as B x A: in the case of the cross product, A x B = - (B x A).
Yes, the component of a non-zero vector can be zero. A non-zero vector can have one or more components equal to zero while still having a non-zero magnitude overall. For example, in a two-dimensional space, the vector (0, 5) has a zero component in the x-direction but is still a non-zero vector since its y-component is non-zero.
The resultant vector is the vector that 'results' from adding two or more vectors together. This vector will create some angle with the x -axis and this is the angle of the resultant vector.
The modulus of a vector is its absolute value. It is the [positive] size or magnitude of the vector, ignoring its direction.In two dimensional space, and using Pythagoras,the modulus of the vector (x,y) is sqrt(x^2 + y^2)In 3-dimensional space, the modulus of the vector (x, y, z) is sqrt(x^2 + y^2 + z^2)The concept can be extended to higher dimensions analogously.
No.
A 2-dimensional position vector is a mathematical representation of a point in a two-dimensional space, typically denoted as (x, y) where x and y are the coordinates of the point along the x-axis and y-axis, respectively. It describes the displacement of a point from the origin in a specific direction.
To determine the direction of a vector, you can use trigonometry. Find the angle the vector makes with the positive x-axis using the arctangent function. This angle represents the direction of the vector in relation to the x-axis.
Length and direction.Or x-coordinate and y-coordinate.
The Cartesian coordinates of the vector represented by the keyword "r vector" are the x, y, and z components of the vector in a three-dimensional coordinate system.
It is a three dimension vector : (x, y, z). It could be either a row vector or a column vector.
One dimensional is (probably) a line.Two dimensional is a flat plain figure, showing length x width.Three dimensional is a cubic shape, showing length x width x depth.
The component of a vector x perpendicular to the vector y is x*y*sin(A) where A is the angle between the two vectors.
The cosine function is used to determine the x component of the vector. The sine function is used to determine the y component. Consider a vector drawn on an x-y plane with its initial point at (0,0). If L is the magnitude of the vector and theta is the angle from the positive x axis to the vector, then the x component of the vector is L * cos(theta) and the y component is L * sin(theta).
The magnitude of a unit vector is always 1. To calculate the magnitude of a vector, you can use the formula: magnitude sqrt(x2 y2 z2), where x, y, and z are the components of the vector in three-dimensional space.
A cylinder is a three dimensional object, it's impossible to determine with just two dimensions of measurement.