I feel so guilty

asking help for math homework :frowning:

Suppose that the vectors V[SIZE=-1]1[/SIZE], V[SIZE=-1]2[/SIZE], and V[SIZE=-1]3[/SIZE] satisfy the following:

V[SIZE=-1]1[/SIZE] + V[SIZE=-1]2[/SIZE] + V[SIZE=-1]3[/SIZE] = 0
V[SIZE=-1]1[/SIZE] • V[SIZE=-1]2[/SIZE] = 0
||V[SIZE=-1]1[/SIZE]|| = 66
||V[SIZE=-1]2[/SIZE]|| = 73

What is the length ||V[SIZE=-1]3[/SIZE]||?

||v|| is the absolute length of a vector. I just can’t figure out the algebra. I laid out everything, and it just won’t solve by itself. Help?