(-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).
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.
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).
Fanklin's X-ray
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.
Two dimensional graphs have two dimensions: x and y. Three dimensional graphs add a third dimension: z. These give the illusion of depth, while two dimensional graphs do not.