JunJun
A + b = {ax + bx; ay + by; az + bz} = {2 + 4; 3 + 3; 1 + 0} = {6; 6; 1}
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JunJun
a × b = i j k ax ay az bx by bz = i j k 2 3 1 4 3 0 = i (3·0 - 1·3) - j (2·0 - 1·4) + k (2·3 - 3·4) = i (0 - 3) - j (0 - 4) + k (6 - 12) = {-3; 4; -6}
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i j k
ax ay az
bx by bz
=
i j k
2 3 1
4 3 0
= i (3·0 - 1·3) - j (2·0 - 1·4) + k (2·3 - 3·4) = i (0 - 3) - j (0 - 4) + k (6 - 12) = {-3; 4; -6}