{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Engineering Calculus Notes 89

# Engineering Calculus Notes 89 - 77 1.6 CROSS PRODUCTS and...

This preview shows page 1. Sign up to view the full content.

1.6. CROSS PRODUCTS 77 and its signed area is 1 2 vextendsingle vextendsingle vextendsingle vextendsingle 2 1 1 1 vextendsingle vextendsingle vextendsingle vextendsingle = 1 2 [(2)( 1) (1)(1)] = 1 2 [ 2 1] = 3 2 ; you can verify from Figure 1.38 that the path A mapsto→ B mapsto→ C mapsto→ A traverses the triangle clockwise . -1 0 1 2 3 4 -1 0 1 2 3 4 5 6 A (2 , 4) B (4 , 5) C (3 , 3) Figure 1.38: Oriented Triangle ABC , Negative Orientation These ideas can be extended to polygons in the plane: for example, a quadrilateral with vertices A , B , C and D is positively ( resp . negatively) oriented if the vertices in this order are consecutive in the counterclockwise
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Ask a homework question - tutors are online