MAT 1236 Calculus III Section 12.2 Vectors

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Presentation transcript:

MAT 1236 Calculus III Section 12.2 Vectors

HW and … WebAssign 12.2 (14 problems, 54 min.) Quiz:

Preview Vectors in the plane (2D) and space (3D). Two basic operations Vector addition Scalar multiplication Special vectors Most of you have some experience /knowledge of vectors from other courses.

Vectors The term vector is used to indicate a quantity with both magnitude and direction.

Vectors (Graphical) N+W

Vectors (Graphical) U-W=?

We are Interested in … “Combining” two forces. The magnitude of a force. The angle between two forces.

We need … a mathematical system allows us to represent, compute, and manipulate these quantities.

2D Vs 3D The materials for 2D and 3D vectors are basically the same. We are going to show one version most of the time.

Discovery Lab Objectives To explore the vectors in the plane. To investigate the 2 important operations: vector addition and scalar multiplication. To understand some special vectors.

Discovery Lab Instructions Do not look up any references including the textbook and internet. Use correct notations and do not skip steps. Two persons per group. Do not communicate with other groups. Due: 2:50 pm today