# Oblique Projection

Geometry Level 4

Given a plane that passes through the point $$r_0 = (1, 2, -1)$$, and has a normal vector of $$(2, 3, -2)$$, we want to find the oblique (i.e. non-orthogonal) projection of the point $$p_0 = ( 33, 34, 47 )$$ on the specified plane along the oblique direction given by $$\mathbf{d} = ( -3, 6, -2)$$. Let the projected point be $$( a, b, c )$$, what is the value of $$a + b + c$$ ?

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