Week 10

Question 1

Vectors

Answer 1

*directed line segments
*initial/starting point and ending/terminal point (arrow)
*denoted in bold or with an arrow above a letter
*can be moved in space

Question 2

magnitude

Answer 2

*vector quantity
*the length of the vector
*a positive number - ||V|| or |V|

Question 3

direction

Answer 3

*vector quantity
*the way the vector points

Question 4

magnitude addition rule

Answer 4

||V+W|| does not always equal ||V|| + ||W||

Question 5

adding and subtracting vetors

Answer 5

*use tip to tail method
*and integer times a vector increases its magnitude (eg - 2V)
*a negative sign in front of a vetor turns a vector in the opposite direction

Question 6

algebraic vetor addition rule

Answer 6

if v = <x, y> and w = <x1, y1>
then v+w = <x+x1, y+y1>

Question 7

algebraic magnitude of vectors rule

Answer 7

*alpha * <x> (distribute alpha)
*||alpha *v|| = |alpha| * ||v||</x>

Question 8

finding magnitude of a vector

Answer 8

*pythagorean theorem

Question 9

vectors cannot be….

Answer 9

*multiplied
*a scalar can be multiplied by a vector