Aim of the applet

Graphical representation of basic operations, dor product and cross product of two vectors.

Input data

Vectors u and v. Choosing operations.

Output data

• Calculation of the chosen operation.
• Graphical representation of the chosen operation.

You can change the coordinates of the vectors by dragging the end points.

First steps

• Calculates the dot product of u = (4,4) and v = (7, -2). Clicking by mouse in point B and increasing the angle between two vectors and analyze the change of sign of the scalar and vector products.
• Given the vector u = (3.8) we know that other vector perpendicular v verifies that uv = 0. Drag B by the mouse and get two vectors perpendicular to u.
• Find the area of a parallelogram whose vertex are (0.0) (4.5) (5.0) and (9.0).