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I am stuck in this linear algebra problem, can you please help me solve it? (I have no idea what to do here!)

In a linear space $\Bbb R^4$

$a_1 = (-3, 2, 21, -14)$

$a_2 = (−6, 1, 3, 0),$

$a_3 = (−3, −1, 2, 3)$

$U = l(a_1, a_2, a_3)$

$W$ is a system $=$

$$− 8x_1 + x_2 − 4x_3 + 7x_4 = 0$$ $$13x_1 − 13x_2 + 17x_3 − 7x_4 = 0$$ $$− 3x_1 + 2x_2 − 3x_3 + 2x_4 = 0$$

Find the basis of the subspaces $U, W, U + W, U \cap W$

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