Scalar Multiplication

Author:
dshaft
Drag the point A to choose a direction. Note that the vector u is a position vector described by the coordinates of A. The cartesian form of u is displayed on the screen. Use the slider to select a value for the scalar labelled a. Click on the "Show Resultant" button to display the results of the scalar multiplication. Note: Hold the shift key and drag the applet to move around, also holding shift and using the mouse wheel lets you zoom in and out
How would you describe the act of scalar multiplication. What operations need to be performed with the scalar value, a, and the x and y components of the vector u to create the vector v? What happens to the direction of resultant when the scalar is a negative number? (try looking at the resultant's values with the scalar 3, and then -3)