Laplacian in Spherical Coordinates

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PhysicsIzHard
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Homework Statement



2hd8y9y.jpg

2j0xnx3.jpg

14ngugx.jpg

Homework Equations



All above.

The Attempt at a Solution



Tried the first few, couldn't get them to work. Any ideas, hopefully for each step?
 
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For a, you should remind yourself of trigonometric identities involving right triangles.

For b, how long is a unit vector?