Determine whether the statement is true or false. if it is true, explain why. if it is false, explain why or give an example that disaproves the statement.
the dot product of parallel vectors is zero,

False

Step-by-step explanation:

the dot product between two vectors A and B is:

A·B=AB

where is the angle between the vectors, if they are parallel, this angle is zero. so  

and so the dot product is:

A·B =AB

and since  

the dot product is equal to

A·B=AB

The dot product of parallel vectors is NOT zero

kk.bj.

step-by-step explanation:

.mnm.kn.kj

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3