Use the dot product:
a * b = ||a|| ||b|| cos t.
a * b = 3 + 3 + 3 = 9
||a|| = sqrt(9 + 1 + 3) = sqrt(13)
||b|| = sqrt(1 + 9 + 3) = sqrt(13).
Thus, 9 = 13 cos t
==> t = arccos(9/13) = 0.806 radians.
I hope this helps!
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Verified answer
Use the dot product:
a * b = ||a|| ||b|| cos t.
a * b = 3 + 3 + 3 = 9
||a|| = sqrt(9 + 1 + 3) = sqrt(13)
||b|| = sqrt(1 + 9 + 3) = sqrt(13).
Thus, 9 = 13 cos t
==> t = arccos(9/13) = 0.806 radians.
I hope this helps!