Measurement of length and time
Description
A vector is a quantity that has both magnitude and direction.
Displacement, velocity, acceleration, and force are the vector quantities.
in simpler examples, vectors were simply directed up, down, left or right.
In situations in which vectors are directed at angles to the customary
x(horizontal)-y(vertical) coordinate axes, a useful mathematical trick
will be employed to transform the vector into two parts with each part
being directed along the coordinate axes. For example, a vector that is
directed northwest can be thought of as having two parts - a northward
part and a westward part. A vector that is directed upward and rightward
can be thought of as having two parts - an upward part and a rightward
part.
Calculate the components of the vector A
1. click reset to generate a new random vector A of length |A| at an angle
of theta to the positive x axis.
2. use the formula Ax = |A|cos(theta)
to find the x direction component Ax.
3. use the formula Ay =
|A|sin(theta) to find the y direction component Ay.
4. click reset to
random generate a new vector A.
5. test yourself whether you have
enough practice calculating Ax and Ay.
Other interesting fun activities
1. this model can be used to calculate any length |A| by keying in the
values such as |A| =500 and theta = 63 degrees. Select the checkboxes Ax
and Ay to see the new answers.
2. when Ax is selected, the PLAY button
animates the effects of changing Ax alone.
3. when Ay is selected, the
PLAY button animates the effects of changing Ay alone.
4. explore your
own vector(s) here to test your understanding.
5. leave me a Google+
comment/question/requests etc here http://weelookang.blogspot.sg/2014/10/components-vector-model.html
Sample Learning Goals
(e) state what is meant by scalar and vector
(how to resolve) quantities and give common examples of each
(f) calculate vector by means of components
Version:
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http://weelookang.blogspot.sg/2014/10/components-vector-model.html
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