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IGiven the vectors tionWhich of the fcllowing might be trueSelect one uzv-Wu=2vUFW-VU=2wU=V+...

Question

IGiven the vectors tionWhich of the fcllowing might be trueSelect one uzv-Wu=2vUFW-VU=2wU=V+

IGiven the vectors tion Which of the fcllowing might be true Select one uzv-W u=2v UFW-V U=2w U=V+



Answers

Determine whether each statement is true or false. The arrow components of equal vectors must coincide.

And I need to talk about the arrow components of equal vectors must coincide, but it's not a correct statement, although equal vectors means that the direction of the factors must be equal must be seen and there length of the magnitude must be equal. So let's say this is the coordinate plain and we have to draw to equal factors. So one of the vectors could be like this and another vector could be like this. So they are let's call this factor A and back to be so they are at the same angle with respect to the X axis and they have the same magnitude, let's say magnitude of magnitude of you. But if they made their components and their competences competent is going to be over here and this is going to be over here and for the other one that component is going to be here and that's confident is going to be here. So clearly these components are not coinciding with each other as cited in the question. So this is not a correct statement. So I would say that this is a false statement. Thank you.

Okay, This question asks us if the dot product returns a vector and we can just look at the definition. So the common definition for the DOT product in two D would just be multiplying like components and then adding the results. And we see that this is a scaler, and if it's a scaler, it's not a factor, so this is false.

Okay. This question asks us if the dot product returns a scaler. So the dot product is usually defined as just multiplying like components and then adding them together. And we see that this is a number so not a factor. And that means that this is a scaler quantity. So the claim is true.

So we can solve for the magnitude of this factor, just like we would any other. Taking the square root of each of the components squared, we have negative A what? Thank you. For a squared plus B squared negative. A squared is just gonna become a squared. That'll be a plus b squared. And this is all still the square root of that. You don't really have any way to simplify this further. So our magnitude of our vector is equal to the square root of a Scorpio.


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