Understand and use vector notation in forms including column vectors, directed line segments, p, and ai - bj. Use correct vector notation.
Know and use position vectors and unit vectors. Find the unit vector in the same direction as a given vector.
Find the magnitude of a vector. Add and subtract vectors and multiply vectors by scalars. Includes equating like vectors and solving vector-geometry problems, with diagrams given in more complex cases.
Compose and resolve velocities. Determine a resultant vector by adding two or more vectors. Use a velocity vector to determine position and solve contextual problems such as particles colliding.
Objective notes4 learning objectives13.1Use vector notation• Understand and use vector notation in forms including column vectors, directed line segments, p, and ai - bj.• Use correct vector notation.View13.2Use position and unit vectors• Know and use position vectors and unit vectors.• Find the unit vector in the same direction as a given vector.View13.3Calculate and combine vectors• Find the magnitude of a vector.• Add and subtract vectors and multiply vectors by scalars.• Includes equating like vectors and solving vector-geometry problems, with diagrams given in more complex cases.View13.4Compose and resolve velocities• Compose and resolve velocities.• Determine a resultant vector by adding two or more vectors.• Use a velocity vector to determine position and solve contextual problems such as particles colliding.View