Question

Find the specified vector or scalar.

Answer 1

If \(u=-4i+1j\) and \(v=4i+1j\),

then \(u+v=(-4+4)i+(1+1)j=0i+2j\)

What's the magnitude, \(\|u+v\|\) ?

Answer 2

How do I find magnitude?

Answer 3

Given some vector \(r=ai+bj\), the magnitude is given by \(\|r\|=\sqrt{a^2+b^2}\).

For \(u+v\), you have \(a=0\) and \(b=2\), so the magnitude would be
\[\|u+v\|=\sqrt{0^2+2^2}=\cdots\]

Answer 4

2?

Answer 5

Yes

Answer 6

Thank you