Find the magnitude/length of the cross product of two vectors

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I'm going through past exam questions, and this is one I haven't come across. How can I approach it?

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The magnitude of the cross product is given by:

$|a \times b| = |a||b| \sin \theta$

where $\theta$ is the angle between the vectors. Can you find this angle? Hint: think of the angle between any vector along the $z$-axis and the $xy$ plane.