Question: Consider the following two planes in R: 2x + 2y = z = 1, x + 3y + 2z = 2. Determine whether or

$Consider the following two planes in ( mathbb{R}^{3} ) : [ 2 x+2 y-z=1, quad x+3 y+2 z=2 . ] Determine whether or not t$

Consider the following two planes in R: 2x + 2y = z = 1, x + 3y + 2z = 2. Determine whether or not the planes intersect. If they do intersect, give the vector equation for the line of intersection.

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