Question

For u = 〈1,5〉 and v = 〈3, −2〉 as in Problem 2, part (a), what is the magnitude of u + v?

Answer 1

5

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:

=
`√(x^2+y^2)`

thus,

magnitude of ( u + v ) =
`√(4^2+3^2)`

or

=
`√(16+9)`

or

= √25

= 5