Respuesta :

The correct answer for this problem would have to be D hope this helps:)

Answer:  The correct option is (d) 60.

Step-by-step explanation:  We are given to find u * v, if the vectors u and v are defined as follows :

[tex]u=12j,~~~v=i+5j.[/tex]

We know that

[tex]i.i=1,~~j.j=1,~~k.k=1,~~i.j=j.i=j.k=k.j=i.k=k.i=0.[/tex]

So, we have

[tex]u*v\\\\=(12j)*(i+5j)\\\\=12j.i+12j.5j\\\\=12\times 0+60\times 1\\\\=0+60\\\\=60.[/tex]

Thus, the value of u * v is 60.

Option (d) is CORRECT.