q = (2.2, 3.6)T r = (-4.8, -2.2)T s = q + r
| q | | = | ![]() |
= | ![]() |
= | ![]() |
= | 4.219 |
| r | | = | ![]() |
= | ![]() |
= | ![]() |
= | 5.280 |
| s | | = | ![]() |
= | ![]() |
= | ![]() |
= | 2.953 |
As expected, | s | is less than | q | + | r |.
Three dimensional vectors have length. The formula is about the same. The length of a vector represented by a three-component matrix is:
| (x, y, z)T | = ![]() |
For example:
| (1, 2, 3)T | =( 12 + 22 + 32 ) =
( 1 + 4 + 9 ) =
14 = 3.742
What is the length of
What is the length of