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Current time:0:00Total duration:1:40

Video transcript

we're a good way towards building a shot that matches the sketch we got from the story Department but before we continue let's pause for a moment to explore an interesting issue that comes up when combining operations in the last exercise you use the two operations of scaling and translation to position some objects for example suppose I start by translating this object by 5 + X + 3 + y and then scale by a factor of 2 but what if I change the order and do scaling before translation in this case I'll scale by a factor of 2 and then translate by 5 + X + 3 + y huh I get a different result that means the order of operations matters when we combine scaling and translation let's try applying two different translations the first by say 5 + X + 3 + y and the second by say 2 + X + 4 + y and if I do these in the opposite order I get the same result so apparently order doesn't matter when combining two translations when order doesn't matter mathematicians say that the operations are commuted it when order does matter mathematicians say the operations are non commutative translations commute with each other because addition is commutative but scaling and translation don't commute will study commutativity in more detail a little later in the meantime use the next exercise to get some practice with this concept