Answer:
(a)
u = 12i - 9j
(b)
35i - 21j
Step-by-step explanation:
Since the terminal point is (5,-6) and the initial point is (-7,3) then
u = (5,-6) - (-7,3) = (5- (-7) , -6 - 3 ) = ( 12 , -9 )
And you can write it in terms of i,j as follows
u = 12i - 9j
Then
2u - v = 24i - 18j +11i - 3j = 35i - 21j
Answer:
a) [tex]\vec u = 12i -9j[/tex], b) [tex]\vec r = 35i -21j[/tex]
Step-by-step explanation:
a) The vector u is:
[tex]\vec u = [5-(-7)]i + [(-6)-3]j[/tex]
[tex]\vec u = 12i -9j[/tex]
b) The resultant vector is:
[tex]\vec r = 2\vec u - \vec v[/tex]
[tex]\vec r = 2\cdot (12i -9j)-(-11i+3j)[/tex]
[tex]\vec r = (24+11)i+ (-18-3)j[/tex]
[tex]\vec r = 35i -21j[/tex]
