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.

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5