Question

Find the magnitude of the vector v given its initial and terminal points. Round your answer to four decimal places.

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is
`|v| = 6.93`

Step-by-step explanation:

From the question we are told that

The initial point is
`(x_1 , y_1 , z_1 ) = (-1 , 7 , 4 )`

The terminal point is
`(x_2 , y_2 , z_2) = (-5 , 11, 8 )`

Generally the magnitude of the vector is mathematically represented as

`|v| = √((x_2 -x_1 )^2 + (y_2 - y_1 )^2 + (z_2 -z_1)^2)`

=>
`|v| = √((-5 -(-1) )^2 + (11 - 7 )^2 + (8 -4)^2)`

=>
`|v| = 6.93`