Vector Algebra

Let

→

u

,

→

v

and

→

w

be vectors in three-dimensional space, where

→

u

and

→

v

are unit vectors which are not perpendicular to each other and

→

u

⋅

→

w

=1,

→

v

⋅

→

w

=1,

→

w

⋅

→

w

=4 If the volume of the parallelopipede, whose adjacent sides are represented by the vectors

→

u

,

→

v

and

→

w

, is √2, then the value of |3

→

u

+5

→

v

| is