If r= (2,3) s= (5,-3) t= (-8,6) then (7,0)+(-8,6) ,(2,3)+(-3,3) and (-6,9)+(5,-3) are equal to (r+s)+t
What is vector ?
Vector is a quantity with magnitude and direction .
Given vectors in component form are
r=(2,3) ,s=(5-3) , t =(-8,6)
We can calculate (r+s) as
(2,3)+(5,-3)
=(2+5,3-3)
=(7,0)
Now we can calculate (r+s)+t as
(7,0)+(-8,6)
(7-8,0+6)
(-1,6)
(a)
(0,7)+(-8,6)
=(-8,1)
Not equal to (r+s)+t
(b)
(7,0)+(-8,6)
=(-1,6)
equal to (r+s)+t
(c)
(2,3)+(-3,3)
=(-1,6)
equal to (r+s)+t
(d)
(2,3)+(3,-3)
=(5,0)
Not equal to (r+s)+t
(e)
(-6,9)+(5,-3)
=(-1,6)
equal to (r+s)+t
If r= (2,3) s= (5,-3) t= (-8,6) then (7,0)+(-8,6) ,(2,3)+(-3,3) and (-6,9)+(5,-3) are equal to (r+s)+t
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