Here we go ~
It's been given that :
[tex]\qquad \sf \dashrightarrow \: \vec{v} = - \vec{u}[/tex]
And magnitude of vector u is 6 units and with a direction 330°
And we are asked to find the magnitude and direction of vector v ~
So, let's get stated ~
As we can observe, vector v and vector u have equal magnitude because they have equal sign between them.
that is :
[tex]\qquad \sf \dashrightarrow \: | \vec{v} | = | \vec{u}| [/tex]
[tex]\qquad \sf \dashrightarrow \: | \vec{v}| = 6 \: units[/tex]
And the negative sign in the equation shows that the two vector have opposite directions or you can say they are anti-paralllel.
So, we can just rotate vector u by 180° to get vector v ~
[tex]\qquad \sf \dashrightarrow \: \hat{n} = 330 \degree - 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: \hat{n} = 150 \degree[/tex]
Conclusion :
