Normal Form of Straight Line - Perpendicular Form of Equation of Line

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Normal Form of Straight line is very important concept we should know in straight line mathematics. Some time we say perpendicular form of straight line equation too for this normal form of a straight line.
In this concept, we know the length of the normal or length of the perpendicular to a line and the angle made by that normal or perpendicular then we can easily write the equation of the line .
General normal form of straight line equation or general perpendicular form of equation is given by:
x CosA + y Sin A = P
Here " A " is the inclination or angle made by the perpendicular to the positive direction of x axis and P is the length of the normal or perpendicular to the straight line whose equation we have written above.
I hope this video lesson for Normal form of straight line equation was helpful in gaining and clearing concepts .
14. Normal Form of Equation of Line - there are so many types of equation of line in standard form, here in this straight line lecture video we are learning another type of equation of line called normal form of equation. If we know the distance of normal to the line from origin and the angle made by the normal to the positive x-axis in anti clock wise direction, then very easily we can find the equation of line and is given by,
X cosA + Y CosA =P ,
Here A -- angle made by the line to the positive x -- axis in anti clock wise direction while "p" is the distance of the perpendicular from the origin.
This is one of the very important form of equation of a straight line and very useful, so it is better to learn Normal form of equation of line very nicely. I believe this Normal Form of Equation of Line is very informative for you. In later videos we are going to practice so much on this Normal Form of Equation of Line.

[@ItsMyAcademy]

thank you so much friend for writing a beautiful comment and inspiring me .. yes, I am working on this friend..Set Theory is already covered.. yet some is left .. :)

[@tetlleyplus]

Awesome!
This is the gap I between the normal form of the straight line and the Hough transform!
Great explanation!

[@shivdattadesai3291]

Thank you so much for great explaination
I was depressed that i didn't know
But I found right guy on yt bro thx 🙏

[@medwatt]

Nice video and good explanation !! Keep it up. Just wanted to refresh my memory.
Why don't you do some advanced math videos like set theory, real analysis ? You see motivated enough and enjoy maths.
Thanks!!

[@danna1761]

good explanation but a lil bit fast..overall all great video 👍🏼

[@arunduttkaushik9704]

very helping video thanks to you really

[@raniellabiancacoronado5318]

Thank you very much! I finally understood this concept. May I just ask the relationship of the normal form with the general form? And are there other videos about the derivation of the other forms? Thank you. :)

[@tarunreddy1118]

good explanation

[@divya296]

Thank you

[@JP-xm3qf]

Thank you, this was the piece missing for understanding Hough transformation, not even chatgpt was able to help me on this derivation!

[@arjunchauhan7339]

a simple sober helpful video

[@shaheemrasa4564]

No it was sooo clear

[@KabirKhan-dw3qs]

If it is on the negative side than how to find the equation??????

[@Driftload]

I haven't tried it but being in a negative-valued sector shouldn't affect the outcome, plug the values into the equation as normal - if you still measure angles from the horizontal all the way around to 360 I think the cos and sin functions should sort things out for you. Best way to tell is to draw out a line in a negative sector like you asked but with a known equation like y=-0.5x -7 or something like that, work back from that normal form line using Pythagoras and see if the numbers still work out

[@shrutisinha-c4w]

if we take for other quadrants then this is for 1st quadrant ???? answer please

[@jonnavittulasethumadhav5902]

Veerry veerry nice explanation sir

[@hasansalim1868]

Thanks for this informative yet easy to follow explanation. Keep up the good work.

[@fangyizhu8893]

Thank you so much for this!

[@idressah9277]

Comments after 10 yes oh my gosh

[@roshan1181]

You can't write two = sin in one statement

[@tekinalpturk571]

Thank you very much. It was very helpful.

[@krishnarajmishra4458]

Nice explanation

[@dabendrasimkhada4758]

Very thanks

[@tamizhazhagan-jaishreekris2199]

Good

[@Batman-jc8to]

Thank you!!!

[@4m0d]

epic vid......

[@wiseman8952]

thank you

[@avimannuxbz3454]

U r bengali

[@tarunreddy1118]

thanks

[@shaheemrasa4564]

The most great video great really helpfulll

[@shaheemrasa4564]

Thank uuu sir

[@Art-fn7ns]

Just stop trying to "engrish" (x_x)

[@clutcherreacts4762]

❤️❤️

[@thamilselvamthamilselvam2939]

Very good explanation, I like the you teach.

[@llewellynjoshiastro3233]

fine exquisite explanation I followed thanks

[@karansinhpadhiyar9657]

Very good sir!!!!!! Where are you from??..?

[@katjadoon5216]

thank u MAY ALLAH BLESS U😊😊

[@chaitanya3229]

thank u very nice explanation

[@imonsanyal]

Please make a video on how to represent x cos120 + y sin 120 = 2 in graphical form

[@tejastendulkar385]

Nice explanation

[@sbpowerzw]

great explanation...

[@himanshurathod6472]

Bro you are awesome.

[@GauravMittal_GM]

thanks man, you are a life saver ......

[@vidyashreeab2489]

Thank you

[@afsaribegam5260]

THANK YOU

[@aashish2492]

Thank you .

[@rishitsingh6621]

Alright!

[@SuperYoavi]

nice one!!!!!!!!

[@sayedurrahman7167]

Nice

[@manvindersingh]

Thanks

[@asadullah4953]

good!

[@mehuldeshlahra5448]

Thanks. :D

[@mohmmed-saad]

جزاك الله خيرا

[@hoorayf0rpeepee]

Thank you so much!!!

[@bekirkhan3309]

THANK YOU VERY MUCH!!!!!!!!!!!!!!!!!!!!!!!!

[@josejaimefelixgarciagarcia8884]

Correct me if I'm wrong.. isn't cos 45 = 2/sqrt(2) ; why did you put 1/sqrt(2)??

[@Karanaryal]

hey buddy!.its 1/(surt2)........

[@kingkoy7397]

no cos 45 is actually 1/sqrt of 2, if you rationalize it will become sqrt of 2 / 2.

[@imgray143]

It's sqrt(2)/2

[@nishritakhangia9216]

You need to work on your communication skills asap