In a two-dimensional Cartesian coordinate system the y-component of a given vector is equal to that...

In a two-dimensional Cartesian coordinate system the y-component of a given vector is equal to that vector's magnitude multiplied by which trigonometric function, with respect to the angle between vector and y-axis?

Expert Solution

genius_generous answered 2 years ago

in a cartesian coordinate space, a curved path is defined as y=sin(x).Find the vector that is...

in a cartesian coordinate space, a curved path is defined as y=sin(x).Find the vector that is normal to the path everywhere.(xy:no unit)

5) If the eastward component of vector is equal to the westward component of vector and...

5) If the eastward component of vector is equal to the westward component of vector and their northward components are equal. Which one of the following statements about these two vectors is correct? 1) Vector is parallel to vector . 2) Vectors and point in opposite directions . 3) Vector is perpendicular to vector . 4) The magnitude of vector is equal to the magnitude of vector . 5) The magnitude of vector is twice the magnitude of vector .

Specify the coordinate direction angles of F1 and F2 and express each force as a Cartesian vector.

Specify the coordinate direction angles of F1 and F2 and express each force as a Cartesian vector. State the magnitude and coordinate direction angles of the resultant vector.

If the x-component of a vector is smaller than its y-component then that vector is in the opposite direction to its y-component.

Which of the following statements is a true statement?If the x-component of a vector is smaller than its y-component then that vector is in the opposite direction to its y-component.A vector's magnitude cannot be more than the magnitude of one of its components.A vector can have positive or negative magnitudes.The magnitude of a vector cannot be zero unless all of its components are zero.A vector's magnitude cannot be less than the sum of the magnitude of its components.

A Point Class Definition A two-dimensional point may be represented by an x- and y-coordinate. In...

A Point Class Definition A two-dimensional point may be represented by an x- and y-coordinate. In this problem, you will write a Point class which stores this information and provides useful methods to work with points. We have provided an __init__ definition for the Point class. You will note that this accepts two arguments, being the x- and y-coordinates of the point. We have also included a __repr__ method, which will provide a canonical string representation of the point. Make...

Consider a two-dimensional triangular lattice described by the two primitive vectors (in an orthogonal coordinate system...

Consider a two-dimensional triangular lattice described by the two primitive vectors (in an orthogonal coordinate system Find the two primitive lattice vectors describing the reciprocal lattice. Find the area of the 1st Brillouin zone and its relation with the area of the direct lattice unit cell.

Consider a two-dimensional ideal flow in the x-y plane (with radial coordinate r2 = x2 +...

Consider a two-dimensional ideal flow in the x-y plane (with radial coordinate r2 = x2 + y2). Given the velocity potentials of 1) a uniform flow, 2) a source φ = (q/2π) ln r, and 3) a dipole φ = −d · r/(2πr2): a) Using the principle of superposition, construct a linear combination of the ingredients above that gives the flow past an infinite cylinder. [10 points] b) Sketch the streamlines of the flow everywhere in space. [10 points]

In object C Define a class called XYPoint that will hold a Cartesian coordinate (x, y),...

In object C Define a class called XYPoint that will hold a Cartesian coordinate (x, y), where x and y are integers. Define methods to individually set the x and y coordinates of your new point and retrieve their values. Write an Objective-C program to implement your new class and test it (main section of the file). Your test program needs to create two instances of your class. Make sure your program test prints out the values that you have...

A Cartesian vector can be thought of as representing magnitudes along the x-, y-, and z-axes...

A Cartesian vector can be thought of as representing magnitudes along the x-, y-, and z-axes multiplied by a unit vector (i, j, k). For such cases, the dot product of two of these fectors {a} and {b} corresponds to the product of their magnitudes and the cosine of the angle between their tails as in {a}⋅ {b} = abcos(theta) The cross product yields another vector, {c} = {a} × {b} , which is perpendicular to the plane defined by...

1. A vector is parallel to the y-axis. what is its x component? 2. A vector...

1. A vector is parallel to the y-axis. what is its x component? 2. A vector has equal, positive x and y components and zero z component. what is the angle between this vector and the x axis? 3. A vector A has an x component Ax=3 and a y component Ay= -1. what are the x and y components of the vector 2A ? The vector -4A ? 4. What is the magnitude of the vector i + j...

Question