Given any triangle in the plane, associate to each side an outward pointing normal vector of the same length as the side. show that the sum of these three vectors is always 0.

Let , a, b and c be the length of three sides of triangle, represented in terms of vectors as .

Now, vector of same Magnitude acts as normal vector to each side.

So, equation of any vector p having normal q is given by

Now sum of three vector and it's normal is given as

Cross product of two identical vectors is Zero.

no, the equation would be invalid since they are both not equal.

step-by-step explanation:

here you got

4y-6+4y 2-9

first, you would simplify the equation on the form.

4y-6+4y 2-9

then, move all the terms that contains a y to the left and all the other terms to the right.

+4y-4y+-9-6

finally, you will simplify the left and the right side of the equation.

y=-3