Let $v = 7 j$ And Let U Be a Vector with Length

Multiple Choice

Let $v = 7 j$ and let u be a vector with length $5$ that starts at the origin and rotates in the xy - plane. Find the maximum value of the length of the vector $| \mathbf { u } \times \mathbf { v } |$ .

A) $| \mathbf { u } \times \mathbf { v } | = 5$
B) $| \mathbf { u } \times \mathbf { v } | = 7$
C) $| \mathbf { u } \times \mathbf { v } | = 35$
D) $| \mathbf { u } \times \mathbf { v } | = 157$
E) $| \mathbf { u } \times \mathbf { v } | = 1$