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 $|v| = 6.93$

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

     $|v| = \sqrt{(x_2 -x_1 )^2 + (y_2 - y_1 )^2 + (z_2 -z_1)^2}$

=>   $|v| = \sqrt{(-5 -(-1) )^2 + (11 - 7 )^2 + (8 -4)^2}$

=>   $|v| = 6.93$