Two vectors `vecp and vecq` lie in the xy plane. Their magnitudes are `3.50 and 6.30` units, repspectively, and their directions are `220^(@) and 75.0^(@),` respectively, as measured countercloskwise from the positive x axis. What are the values of `(a) vecp xx vecq(b) vecp .vecq ` ?

Explanation

To solve the problem, we need to calculate the cross product and dot product of the two vectors \( \vec{p} \) and \( \vec{q} \) given their magnitudes and directions.

### Given Data:
- Magnitude of \( \vec{p} = 3.50 \) units
- Direction of \( \vec{p} = 220^\circ \) (measured counterclockwise from the positive x-axis)
- Magnitude of \( \vec{q} = 6.30 \) units
- Direction of \( \vec{q} = 75.0^\circ \) (measured counterclockwise from the positive x-axis)

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