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jermie
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How to write a vector 's' in x y co-ordinate system, as function of (x,y,theta) ? 's' is inclined at an angle of theta to y axis?
jermie said:How to write a vector 's' in x y co-ordinate system, as function of (x,y,theta) ? 's' is inclined at an angle of theta to y axis?
jermie said:Thanks Chir
I would like to know, if i can write the any vector inclined at angle theta to y-axis as a function of x,y,theta.
i.e, i don't want resolution of the vector into x and y coordinates. as x= s sin(theta);y=scos(theta)
Is s=sqrt(x^2+y^2)[xsin(theta)+ycos(theta)] correct??
jermie said:Thanks:) Am working on sloshing in rectangular container subjected to horizontal, vertical and rotational excitation.
Am trying to formulate the boundary conditions incorporating the excitations in it. My problem now is I would like to write rotation component in terms of translation.
A vector in the x y coordinate system is a mathematical representation of a line segment with both magnitude and direction. It is usually denoted by an arrow pointing from its starting point to its end point.
To write a vector in the x y coordinate system, you need to determine its starting point and end point in the x y plane. Then, you can express its magnitude and direction using coordinates, such as (x, y).
A vector has both magnitude and direction, while a scalar only has magnitude. In the x y coordinate system, a vector is represented by a line segment with an arrow, while a scalar is represented by a single point.
To add or subtract vectors in the x y coordinate system, you can use the parallelogram law or the triangle law. These laws involve finding the resultant vector by combining the individual vectors using basic arithmetic operations.
Yes, a vector can have a negative magnitude in the x y coordinate system. This means that the vector is pointing in the opposite direction of its usual orientation, as indicated by the sign of its coordinates.