Determine if the following statement is true or false : The vectors v v v and − v -v − v point in the same direction. <img alt="Grid background for geometric vectors in trigonometry course, chapter 8." class="image-blot" src="data:image/png;base64,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" style="display: block; margin: auto;"/>

this problem, we are asked to determine if the following statement is true or false, and we have that vectors 'v' and negative 'v' point in the same direction. How could we solve this? Well, I'm going to start by drawing a random vector 'v' over here. So let's say that this is our vector and we'll call this 'v'. Now what I need to do next is draw vector negative 'v', and recall that a negative vector actually has the same magnitude as the original vector, but what about the direction? Well, it turns out that whenever you have a negative sign in front of the original vector, it's going to change the direction to the opposite side. So vectors v and negative v will point in opposite directions. And because these point opposite directions, we would say that this statement is false. Vectors 'v' and 'negative v' do not point in the same directions. I hope you found this video helpful.