Answer: -120
Step-by-step explanation:
this would be the answer because if you take a positive and add it to a negative you get zero if their the additive inverse of the number.
Answer:
A rotation is motion of a certain space that preserves at least one point. It can describe, for example, the motion of a rigid body around a fixed point.
Step-by-step explanation:
ANSWER
![|v| = 2 \sqrt{10}](https://tex.z-dn.net/?f=%7Cv%7C%20%20%3D%202%20%5Csqrt%7B10%7D%20)
EXPLANATION
Vector v that has an initial point of (1,3) and a terminal point of (7,1)
To find vector v, subtract the terminal position vector from the initial position vector.
![v = \binom{7}{1} - \binom{1}{3}](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cbinom%7B7%7D%7B1%7D%20%20-%20%20%5Cbinom%7B1%7D%7B3%7D%20)
![v = \binom{7 - 1}{1 - 3}](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cbinom%7B7%20-%201%7D%7B1%20-%203%7D%20)
![v = \binom{6}{ - 2}](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cbinom%7B6%7D%7B%20-%202%7D%20)
The magnitude of the vector is given by:
![|v| = \sqrt{ {x}^{2} + {y}^{2} }](https://tex.z-dn.net/?f=%20%7Cv%7C%20%20%3D%20%20%5Csqrt%7B%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%7By%7D%5E%7B2%7D%20%7D%20)
![|v| = \sqrt{ {6}^{2} + {( - 2)}^{2} }](https://tex.z-dn.net/?f=%7Cv%7C%20%20%3D%20%20%5Csqrt%7B%20%7B6%7D%5E%7B2%7D%20%20%2B%20%20%7B%28%20-%202%29%7D%5E%7B2%7D%20%7D%20)
![|v| = \sqrt{ 36+ 4 }](https://tex.z-dn.net/?f=%7Cv%7C%20%20%3D%20%20%5Csqrt%7B%2036%2B%20%204%20%7D%20)
![|v| = \sqrt{40} = 2 \sqrt{10}](https://tex.z-dn.net/?f=%7Cv%7C%20%20%3D%20%20%5Csqrt%7B40%7D%20%20%3D%202%20%5Csqrt%7B10%7D%20)