Projection of a Vector onto another Vector

I work through projecting a vector onto another vector in two setting: 1) When the vectors are described with magnitude and direction. 2) When the vectors are described by their horizontal and vertical components. NOTE: If you check to see if the composite vectors (at the end of this video) are perpendicular, the dot product will not equal zero. I rounded off my work too much when working through the scaler multiple portion of the projection formula.

Here are all of my Vector lessons,

[kimothomas]

You literally brought my grade up from a 82 to a 95. Thank you!!!

[profrobbob]

I am glad you are finding my videos so helpful:) I do plan on making more videos. I having too much fun making them to stop!

[SquarePupilIndustr]

I've watched your video about 20 times now. It's really very potent, and good.

[profrobbob]

V1 and V2 are the component vectors of V so V1+V2=V. I am showing that by drawing V1 and V2 head to tail.

[georgesadler]

Professor RobBob, , thank you for a monster explanation of Vector Projection in Trigonometry. Once again, Vector Projections has many applications in the real world. Precalculus/Calculus III has a more detail explanation of Vector Projections. Trigonometry is an excellent building blocks for Science and Engineering.

[CatsBirds]

i needed to backtrack a bit, you made my understanding very clear. A big thanks.

[CelestialGospel]

Math teacher with good hand writing? Whaaaat!? Is the sun rising from West?!

[profrobbob]

Thanks...just shows you were really paying attention:)) Thanks for watching.

[KeepingUp_withAI]

you always have exactly what I am looking for. I'm really glad i found you! 

[profrobbob]

and THANKS for liking and subscribing!

[dpmike]

The last problem you come up with a solution of approximately <-39, 84 > for component vector … remember vectors can be placed anywhere in a 2-D plane or 3-D space if they have the same direction and magnitude just a helpful hint

[haufama]

your a great teacher. thankyou. I hope you keep posting video's, especially in the higher mathmatical world. again thankyou, and here i com calc 1.

[dpmike]

At the end of the video you come up with a vector of -39, 80 approximately remember vectors can be shifted anywhere and in 2D or 3D when the vectors have the same magnitude and direction

[eriko]

your videos have been saving me this entire quarter!!! thank you so much!

[wrednymaz]

Great help in my calc class. I tell everybody how good and helpful you are. Many thanks,

[sgrocker]

It appears to me that V2 should be in Quad 2. Adding negative V1 to V is the same as subtracting positive V1 from V. So, adding negative V1 to V would put the head of V to the tail of negative V1, which would put V2 in Quad 2. Drawing V2 from the tail of V to the head of negative V1. This would match the coordinates of V2, which has a negative X and a positive Y, putting V2 in Quad 2.

[DenysVitali]

Thanks for the video, the explanation was awesome. Keep up the good work!

[mike-PlatinumAudio]

Thank you for your video! Very well explained sir!

[taoyeahright]

ProfRobBob... At approx 14:37 you said you would use Cosine function to find the direction/angle and magnitude of the horiz/vert components for Vsub1, but you could more efficiently use the arctan function with x/y components to find the direction and subtract that direction from Vector V and then use cosine when your trying to get ProjwV like you did in part b?. But i think you meant? You COULD use the arccosine function to find Vector V's angle after having got the magnitude of vector V using only the components, After that then you could use the cosine function to find Vector Vsub1's magnitude like in part B? Then again there are probably a dozen or so other ways due to the way trig works. 

[dzarren]

Hi sir!! A real big fan! Thanks for doing what you love, but in public form! I'll be making a few educational videos myself when I have the time! I love learning and im sure I'll love teaching! I look up to you, you do a great job sir!

Are you going to be going over any of these concepts but in three dimensions? I found this video while searching for help on finding the angle between two vectors in three-space.

Thanks!