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What does the modulus of a vector equal?
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.
What is the proper notation used to express a point in the three-dimensional coordinate plane?
It is a three dimension vector : (x, y, z). It could be either a row vector or a column vector.
Why is magnetic field vector a pseudo 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).
Define the angle of the resultant vector?
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.
Is a rectangle two dimensional?
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.
What does the modulus of a vector equal?
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.
In 2 dimensional kinematics can the x component of a vector be great than the vector itself?
No.
What is 2 dimensional position vector?
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.
How to determine the direction of a vector?
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.
What two quantites are nessary to determine a vector quantity?
Length and direction.Or x-coordinate and y-coordinate.
What are the Cartesian coordinates of the vector represented by the keyword "r vector"?
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.
What defines shapes one dimensional two dimensional or three dimensional?
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.
What is the proper notation used to express a point in the three-dimensional coordinate plane?
It is a three dimension vector : (x, y, z). It could be either a row vector or a column vector.
How do you find the component of a vector perpendicular to another vector?
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.
Why is it necessary to use the trig function cosine when working with 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).
What is the magnitude of a unit vector and how is it calculated?
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.
What is the volume of a cylinder 3 x 8?
A cylinder is a three dimensional object, it's impossible to determine with just two dimensions of measurement.
