Answer:
5
Step-by-step explanation:
Data provided in the question:
u = 〈 1 , 5 〉
and v = 〈 3, −2 〉
or it can also be represented as:
u = 1i + 5j
and,
v = 3i - 2j
now,
u + v = ( 1i + 5j ) + ( 3i - 2j )
or
u + v = 4i + 3j
Now, the magnitude is given as:
= [tex]\sqrt{x^2+y^2}[/tex]
thus,
magnitude of ( u + v ) = [tex]\sqrt{4^2+3^2}[/tex]
or
= [tex]\sqrt{16+9}[/tex]
or
= √25
= 5
