Dot and Cross Product Comparison/Intuition

WonderlandOverture Says:

Jan 20, 2010 - Thank you SO much! This is exactly what I was looking for--your explanation makes so much sense.

riskylulz Says:

Feb 4, 2010 - You explain things amazingly. Thank you!

Halo276 Says:

May 22, 2010 - Just a question, so we can find the area of the parallelogram as simply just "a" vector cross the "b" vector. Does that mean the area of the parallelogram is also "b" vector cross "a" vector? btw, thank you for all your videos they help ALOT =D

comecra85 Says:

Jun 17, 2010 - The one thing I don't understand in your video about cross product is why is it vector. Why the crossproduct is not defined as scalar like dot product but with sin (0). That is axb = |a|*|b|*sin (angle).Why dot product is scalar and crossproduct is not?

dalcde Says:

Aug 24, 2010 - " Just a question, so we can find the area of the parallelogram as simply just "a" vector cross the "b" vector. Does that mean the area of the parallelogram is also "b" vector cross "a" vector?"The length of the resulting vector is the same, but the cross product is a vector! The normal vector would be the opposite direction if you use b x a instead of a x b according to the right hand rule. Taowhr said that a x b = -b x a, which is true, as the direction of the normal vector is inverted.

nrod2712 Says:

Sep 10, 2010 - This video gave me goosebumps, it was that good!

heavydutyloader Says:

Sep 13, 2010 - Finally it becomes clear to me. Why explain in such a difficult way, that most teachers do, when you could explain it as easy as it is. Like this?

LAnonHubbard Says:

Dec 8, 2010 - This is all very interesting.

myonlynick Says:

Jan 12, 2011 - If you don't want all the theory bla bla,skip to the GIST: 12:01 - 13:05 (a.k.a intuition)

chitraraj1 Says:

Jan 28, 2011 - THANK YOU!!! This was priceless to me. You explained in 10 mins what my professor couldn't in weeks. It's amazing how easy you make it all seem. Thank you sir! College professors should be required to watch your videos before they attempt to teach others!

diegosjimenez Says:

Apr 26, 2011 - I learned alot from this video. thanks, this will help me on my midterm.

pussiestroker Says:

Apr 29, 2011 - Very intuitive!

netroware Says:

May 14, 2011 - "This was a bit of a tangent" -- Oh dear. :-DSal, you're brilliant.

TerryCrimson Says:

May 23, 2011 - Good video! And the subtitles make it even better! Thank you very much!

bugfacedog44 Says:

Jun 13, 2011 - "This was a bit of a tangent"I laughed

stevenydc Says:

Jun 16, 2011 - what program are you using in the video?

s2000gpw Says:

Aug 15, 2011 - Just ridiculous how much this video helped. Could not have been anymore informative and intuitive. I have been watching your videos for a year and a half now Sal, and I can honestly say they have changed my life. I have gone from a kid who failed math in high school to a math major at a major university. People would have to be out of their mind not to watch your videos and get what I have out of them. Your teaching methods had better b the foundations of our education system in years to come.

SB9101 Says:

Sep 5, 2011 - Why do I go to school? I learn more this way!

dariopy Says:

Sep 24, 2011 - It's just defined that way. The concept of cross product was basically "invented" as a vector.

omgthatscrazyx Says:

Oct 21, 2011 - you're doing such a great service to the world. THANKS!

ScorpiaX Says:

Oct 26, 2011 - Thank you so much.I have a better intuitive understanding of vectors now...My calc teacher just says the cross product gives you the area of the parallelogram without explaining anything, this definitely clarifies it for me.

Guille3692 Says:

Jan 10, 2012 - OMG! Soh Cah Toa! Of course! That's genius, really, if only i knew it last year....

icoscx Says:

Jan 20, 2012 - TY!!!!!!!!! I finally passed my Linear Algebra Exam!

jea1080 Says:

May 6, 2012 - brilliant!!!!!

Zakkacer Says:

May 17, 2012 - Thanks for the awesome video! Very helpful!