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∙ 11y ago(-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.
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∙ 11y agoThe 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).
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.
Yes, a rectangle is only two dimensional, because it only exists on the x and y axises, that is it only is on a single plane. Three dimensional objects exist on the x,y, and z axises. You can think of it as anything that has height or width but is flat is two dimensional, and anything that has height, width, and depth as three dimensional.
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.
Length and direction.Or x-coordinate and y-coordinate.
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 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 component of a vector x perpendicular to the vector y is x*y*sin(A) where A is the angle between the two vectors.
A cylinder is a three dimensional object, it's impossible to determine with just two dimensions of measurement.
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).
A position vector is a vector that represents the location of a point in space relative to a reference point or origin. It specifies the distance and direction from the origin to the point. In three-dimensional space, a position vector is typically denoted as <x, y, z>.
Vectors are combined by adding or subtracting their corresponding components. For two-dimensional vectors, you add/subtract the x-components together and the y-components together to get the resulting vector. For three-dimensional vectors, you perform the same process with the addition of the z-components.