MA19.PRE.8

Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.8
Explain that vector quantities have both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes.

Unpacked Content

Knowledge

Students know:

The difference between a ray and a directed line segment.
When drawing a vector on the xy-plane, magnitude is represented by a distance.

Skills

Students are able to:

Locate vectors on the xy-plane.
Use the unit circle to find trigonometric ratios for values in all four quadrants.
Use the Pythagorean Theorem to find the lengths of sides of a right triangle.

Understanding

Students understand that:

Magnitude as the length of a vector and direction of a vector as the measure of the angle it makes with a horizontal line
When vectors are represented in component form, ensuing computations and applications can be accomplished.

Vocabulary

Vector Quantity
Magnitude
Directed Line Segment
Component Form

COS Examples

Examples: v, |v|, ||v||, v.

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