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Vector Addition Video 3 "Two Dimensional Vectors that are not Parallel"

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hello AP Physics this is mrs. Comstock and this is a third and final video over vectors and vector addition today we're going to find out what we need to do when to add two or more vectors together that are not perpendicular  when using the flowchart that we've been using over the past week this is the perfectly dealing with part 3 of the flowchart  notice the first thing that were asked to do in part 3 of this flowchart is to break Vector into its X and Y components now if you're not familiar with how to break vectors into its X and Y components we need you to go back and watch video or to the specifically talks about how to break the vectors into these components  for the rest of this video we're going to assume that you know how to turtles in two components then we're going to pick up our discussion with what to do after we have found the components which is going to be defined X Total Wine and then use Total Wine Total and follow number two above to finish out our problem  in your pocket you're going to find an example problem that asks to add together these two vectors noticed these two vectors are not parallel to one another and they stop perpendicular to each other so the first thing we need to do for into the flowchart is to find the X & Y components of vector a in the X & Y components of vector B now I'm going to go ahead and just put these on the table because we learned yesterday how to find out what the X & Y components so in the table and table form we're going to have excuse me the X component the Y component of vector a and vector be no notice decter a was in quadrant 1 so we're going to have a positive in a positive why in once we did our trig functions we found out that it had a positive 118 4X and had a positive 300 and 63 for a y Vectra B theme 50 kilometers per hour south has a zero X component and a -54 the Y component  now the next thing that the flowchart ask us to do is to find RX total in y and this is a pretty simple process to find ex total and why total you simply add up the columns so ex total is going to be 18 + 0 or positive 118 and your why total will be positive 363 - 50 I'm going to give us a positive 313 over to the side I want you to recall that when we have Cartesian plane in we have a north south east west  scenario that a East direction is also a positive X while the West Was the negative X Direction North was a positive Y in South was a negative why so we can actually kind of read a scriber ex total and why total instead of positive values we can give it in terms of north south eastern best sew-in ex total Vita appositive 118 total is the same thing as 118 in the units from above in the East Direction  and a positive y total is like a 313 kilometers per hour Anna  North Direction all you do is consider this total you can now look at those in realize that they are perpendicular to one another so treat these two x Total Wine Total vectors as if their perpendicular we're going to draw our parallelogram and use the Pythagorean theorem and inverse tangent to solve for our Vector see answer so we have are north south east and west can you can say positive negative x and y axis and we're going to draw or X component which was 118 units East and Ry was 313 units Norse finish parallelogram and in red I'm going to draw a resultant Vector which is actually see that we are looking for in the problem  so now we have a right triangle just like we did the other day decide one also b313 so we can use the Pythagorean theorem to find the hypotenuse  bye substituting in the two sides of a triangle 313 squared + 118 squared in the magnitude of should come out as 330 4.5 km per hour will also the inverse tangent to find  are Sada value Theta is equal to the envy tangent the side opposite which is 313 / the side of Jason which is 118 and Sada comes out as 69 degrees so our final answer putting it all together is Vector C would be 335 kilometers 4 Hour at 69 degrees north of East so going back and looking at original flowchart if the vectors are not parallel and perpendicular to start you're going to take which factor given to you and find the X & Y components of those vectors make sure to give the appropriate sign based on where those vectors are located what is quadrant 1 2 3 or 4 once you get the X & Y components of each Vector you're going to add up all the EX components and get ex total and add up all the Y components and get why total total and why total will always be dick you little one another so you will then draw those two vectors and make him into a parallelogram and use the Pythagorean theorem and envy tangent to solve for your final answer  at this point you can now finish out the vector addition get ad you should be able to go in and answer the mastering physics assignment that's found online does video has helped have a great night

Uploaded by Nicole Comstock.

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Vector Addition Video 3 "Two Dimensional Vectors that are not Parallel"

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