Understand Basic Vector Concepts

• Define a vector as a quantity with both magnitude and direction (e.g., velocity, force).

• Differentiate between scalar quantities (only magnitude) and vector quantities.

• Represent vectors graphically using arrows and understand components.

Perform Basic Vector Operations

• Add and subtract vectors using graphical (triangle and parallelogram) and analytical methods.

• Multiply vectors by scalars to change their magnitude.

• Resolve a vector into its horizontal and vertical components.

Apply Vectors in Navigation

• Use vectors to solve problems involving ship speed, direction, and current (e.g., calculating resultant velocity).

• Apply vector addition to determine the effect of wind and current on the ship’s course.

• Calculate the correct course to steer (CTS) considering external forces.

Understand Relative Motion

• Use vectors to calculate the relative motion between two moving objects (e.g., two vessels at sea).

• Determine the closest point of approach (CPA) and time to CPA (TCPA) using vector methods.

Solve Practical Maritime Problems

• Apply vectors to analyze problems involving tug operations, mooring, and towing.

• Use vector diagrams to solve collision avoidance problems.

Interpret and Communicate Vector Data

• Interpret vector diagrams in nautical charts and navigation software.

• Communicate vector-based solutions clearly during navigational planning and reporting.

Check Accuracy of Vector Calculations

• Verify the accuracy of vector calculations using mathematical and graphical methods.

• Apply critical thinking to solve complex vector problems encountered during navigation.