Understand the concept of scalar resolute, generate and use the formula for scalar resolute and solve related problems. Students learn how to define vectors in terms of matrices, calculate the dot product and magnitude required for the scalar resolute.
Understand the concept of scalar resolute, generate and use the formula for scalar resolute.
Vector, resolute, scalar, dot-product, magnitude, component
About the Lesson
The lesson starts by exploring how the magnitude of vector a affects the scalar resolute of a on b. Students then explore how the change in angle affects the scalar resolute including an angle of 90 degrees and 0 degrees. Students use geometric representations to determine a formula for the scalar resolute and complete conceptual, numerical and algebraic questions relating to the scalar resolute. A companion video file to help students understand the concepts is also provided in the lesson materials via a link.