Solution :
Let
be the unit vector in the direction parallel to the plane and let
be the component of F in the direction of
and
be the component normal to
.
Since, 


Therefore, 
From figure,

We know that the direction of
is opposite of the direction of
, so we have



The unit vector in the direction normal to the plane,
has components :


Therefore, 
From figure,

∴ 

Therefore,


Answer:
Previous balance = $199.19
Annual rate =14%
finance charge=14%of $198.19=$27.7466
New balance =$199.19+$27.7466-$97.50-$75.75=$53.6866
Answer:
67
Step-by-step explanation:
● -(x + 3) + (y - 5) + (z - 6)
● -x - 3 + y - 5 + z - 6
● (-x + y + z) + (3 -5 -6)
● 75 + 3 - 11
● 78 - 11
● 67
The answer is most likely 8.