Learning Goals (Unit 7)
I will be able to …
 understand the difference between a geometric vector and
an algebraic vector and convert one to the other
 define the basis vectors iˆ , ĵ , and k̂ in words and in
component form, both in 2-space and 3-space










express any vector in terms of iˆ , ĵ , and k̂
draw algebraic vectors in both 2-space and 3-space
determine the length of an algebraic vector
define equal, opposite, and parallel (collinear) vectors, in
component form
perform vector operations such as addition, subtraction,
and/or scalar multiplication of algebraic vectors
determine a unit vector in component form
calculate the dot product and cross product of both
geometric vectors and algebraic vectors
understand and apply the properties of dot product and cross
product
calculate the angle between two algebraic vectors
solve various applications of algebraic vectors (forces,
projections, analytic geometry, work)