Area of Triangle with three vertices using Vector Cross Product in 3D Coordinate Plane

Area of triangle is half the area of the parallelogram. Area pf parallelogram is the magnitude of cross product of adjacent sides.

[DragonLoad]

i was looking for a different way to do this type of problem, but this is a very well explained example of the baaic technique. Why would anyone dislike this?! You are a great teacher sir! If I had not understood this method before, surely now I would. Wonderful video!!

[ziggymarley]

2:34 the method you used to write the cross product is an exceptional time saver.
I used to write it out in a matrix form and cross each individually, leading to many mistakes. Thank you for this.

[rdSalimo]

i am the perfect example of what you would call a lazy student. i didn't know how to solve such eqautions yet i have an exam tomorrow. this video helped me. thanks..

[alphasauroxviix]

love it, very clear and concise explanation

[reetichauhan]

Sir when just the components of three sides are given, how do you know which two sides to vectorly multiply out of given three ?

[KeshavPatel-uxcx]

Golden days when youtube was used for giving information rather than just views😢

[prajwalsah]

Sincerely I would like to Thank you SIR...THANK YOU

[rakharahmadikaputra]

Thank you very much this video really help me finishing my quiz

[mrseis]

I don't understand. The question was asking for the area of a triangle yet you found the area of the parallelogram. Is it because we should divide the parallelogram answer by half to get the area of the triangle?

[reetichauhan]

When we are finding AB vector, why do we subtract B components - A components? Shouldn’t it be A-B?

[comrade.bonifaceonoyima]

Translate a triangle with vertices at original coordinates (15, 30), (10, 15), (25, 15) by tx = 20, ty = 10. Roughly plot the original and resultant triangles.

[brenn]

Doesn't the j component of the cross product have to be positive because when you take the determinant, the sequence alternates in a sign?
|+ - +|
|- + - |
|+ - +|
<2, -1, 2>x<-1, -2, 1> = xj +4j - 5k

[mdgulamgaush]

I personally feel very bad ☹️ why people dislike.if can't like something then they are not supposed to dislike some one.this shows bad nature of student. If you have problem, just try to put your problems with out feeling problem in someone

[MrSidTaylor]

The statement that the area of a parallelogram is the magnitude of the cross product of adjacent sides is an assertion which I have never seen proved.

[ghanajieha]

sorry sir may i ask where did u got the -1, 2, 2, -1 and -2, 1, -1, -2 from? i just didnt understand that part only. TQ

[tsynabrachris]

I want to help me with this The points A(1, 2, 3), B(3, 3, 5) and C (3, 0, 5) form a triangle. Calculate the area of the triangle

[manishpoudel]

okay but vector j while doing cross product in the middle must be negative isn't it ?

[akashagrawal]

The question is...
Is it allowed to take the cross product of cb and ac or cb and ab?