Angle between proton velocity and B-field

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Homework Statement
Please see below
Relevant Equations
F = qV x B
For this problem,
1670900377412.png

The solution is,
1670900463532.png

However, this may seem like a silly question, but do we need both angles?

Many thanks!
 

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kuruman said:
The two angles are supplementary. Either one is correct if you only have the magnitude of the cross product.
Thank you @kuruman !