For
the direction of 1v,
we have λ = 1, which is greater than zero, so
the vector 1v will be in
the same direction as v.
The
magnitude of 1v will be |1| times the magnitude of v.
In other words,
||1v||
= |1| ||v||
= ||v||, which is the magnitude of v.
So
1v
is a vector with the same magnitude and direction as v;
hence it is equal to v.