Week 11

Question 1

unit vector

Answer 1

*has a magnitude of 1
*denoted with a u with an arrow above it

Question 2

finding a unit vector of a vector

Answer 2

divide a vector by its own magnitude

Question 3

standard basis vectors

Answer 3

i = <1,0>
j = <0,1>
*every vector can be expressed as a linear combination of standard basis vectors

Question 4

dot product of vectors

Answer 4

*is a scalar (a number)
*the product of each vectors x’s is added to the product of their y’s
*determines whether two vectors are perpendicular or not (dot product must be 0)

Question 5

angle between two vectors

Answer 5

• x<180
  *found: cos theta = (dot product of vectors)/product of vector’s magnitudes