Education Technology

# Activities

• ##### Subject Area

• Science: Physics: Foundations

9-12

30 Minutes

• ##### Device
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

1.7

## Resolving Vectors

#### Activity Overview

Students observe the relationship between a vector and its x- and y-components.

#### Key Steps

• Students learn how to resolve a vector into perpendicular components. They first examine a vector that has been resolved into horizontal and vertical components.

• Then, they use the angle measurement tool to measure the angle between the vector v and the horizontal vector (vx). They then derive equations for the lengths of the horizontal and vertical vectors as a function of the angle.

• Next, students construct horizontal and vertical component vectors of a vector t. They use the length measurement tool to confirm the equation they derived at the beginning of the activity.

• Finally, students explore perpendicular component vectors that are not horizontal and vertical. They study a simulation of a box resting on an inclined plane. Then, they construct the components of the box's weight vector that are parallel and perpendicular to the inclined plane.