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.

COS Examples

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

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
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