Unit 6a Vector Formulas

Question 1

Angle between vectors

Answer 1

arccos (uv/|u||v|)

Question 2

If F is a constant force in the direction of the object, the work done on the object moving it from point A to B can be calculated by…

Answer 2

w=|F|*|vectorAB|

Question 3

If it is going in any other direction?

Answer 3

w=FvectorAB or w=|F||vector AB|cos@ (angle between force vector and objects distance)

Question 4

How can angles be used as a unit vector?

Answer 4

{cosangle, sinangle}*magnitude

Question 5

how to find the angle within a vector (remember to add pi/2 or pi!!)

Answer 5

arctan (y/x)

Question 6

what is the component form of a vector

Answer 6

order pair/normal

Question 7

How to find parametric equation of a line between two points?

Answer 7

Create an abitrary point on the line and create vectors with the created point and point A from the origin.

Question 8

Formulas for parametric equation of a line between two points?

Answer 8

all two letters are vectors
OP =OA+AP
OP=OA+t*AB (vector btw two points)

OP ={x,y}

Question 9

when solving for bearings

Answer 9

remember to always convert back from unit circle to bearing measurement

Question 10

check clockwise and counterclockwise