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Unit 1
· Topic 4
Topic 4: Algebra of vectors in two dimensions
Algebra of vectors in two dimensions
12 hours
Examine and use addition and subtraction of vectors in Cartesian form.
Define and use multiplication by a scalar of a vector in Cartesian form.
Determine a vector between two points.
Define and use a vector representing a section of a line segment, including the midpoint of a line segment.
Define and use the scalar (dot) product.
1 interactive
Examine properties of parallel and perpendicular vectors and determine if two vectors are parallel or perpendicular.
1 interactive
Define and use scalar and vector projections of vectors.
1 interactive
Apply the scalar product to vectors expressed in Cartesian form.
Resolve vectors into î and ĵ components.
Model and solve problems that involve displacement, force, velocity and relative velocity using the above concepts.
1 interactive
Model and solve problems that involve motion of a body in equilibrium situations, including vector applications related to smooth inclined planes (excluding situations with pulleys and connected bodies).
1 interactive