Question

Find the magnitude of vector v that has an initial point of (1,3) and a terminal point of (7,1)

Answer 1

1. B. v=(6,-2)

2. A. ||V||=2sqrt10

3. D. A(6,-4) and B(3,1)

4. A. 6,500 ft, no discount

Answer 2

`|v| = 2 √(10)`

Step-by-step 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}`

`v = \binom{7 - 1}{1 - 3}`

`v = \binom{6}{ - 2}`

The magnitude of the vector is given by:

`|v| = \sqrt{ {x}^(2) + {y}^(2) }`

`|v| = \sqrt{ {6}^(2) + {( - 2)}^(2) }`

`|v| = √( 36+ 4 )`

`|v| = √(40) = 2 √(10)`