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Current time:0:00Total duration:1:44

Subtracting vectors end-to-end

Video transcript

these are vectors a and B are that's vector a that's vector B which of the following describes a valid way of obtaining vector a minus vector B so let's look at our choices right over here so here they just depicted vector B just like it's depicted here it's maybe we shift it over a little bit and then over here the depicted vector a the negative of vector a and it looks like they're taking the negative of vector a so there's the negative vector a and to that they're adding a vector B and then they're claiming that this is this magenta vector is a minus B but this one right over if we if we ignore what they wrote over here what they've done is they've added negative A to B so this is the negative of vector A plus vector B or we could think of it as vector B minus vector a so this one right over here is not right if we swap the signs that's if this was a negative if we put negative a plus B then we'd say okay this this is accurate but they want us to figure out valid ways of obtaining a minus B and this isn't that this is B minus a look at the other choice so you have vector a you start so let's start at the tail of vector a get to the head of vector a and then over here we have the tail of the negative of vector B so they essentially flipped it over when you take the negative of it and so we're adding negative B to a and then so if we take the tail of where we started to the head of where we ended yes this would be vector a plus negative vector B which is the same thing as vector a minus vector B so that one is right that is a represent that's a valid way of obtaining vector a minus vector B