Doubt in one of the videos

In this image a1=[a1_1,a1_2,a1_3] and w2_1=[-7,8]
Here, cannot work because of the shape difference. Am I referencing wrongly or that was a mistake?

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Welcome to the community. You are absolutely correct. w2_1 is supposed to have 3 elements since a1 has 3 elements too, and in that case only, the dot product would take place. This issue has already been reported, and the team is working on fixing this. Apologies for the inconvenience.