Question

Displacement vectors of 10 m west and 14 m west make a resultant vector that is _____.

Answer 1

For this case we can write each one of the vectors in the following way:

$v1 = 10 i\\v2 = 14 i$

This means that the x-axis is defined as positive towards the west.

Then, the resulting vector is:

$v1 + v2 = 10i + 14i\\v1 + v2 = 24 i$

Answer:

Displacement vectors of 10 m west and 14 m west make a resultant vector that is 24 m west

Answer 2

Since they are both west, they simply add.  The resultant is 24m, pointing west