Vector a⃗ points in the negative y direction and has a magnitude of 5 km. vector b⃗ has a magnitude of 15 km and points in the positive x direction.
use components to find the magnitude of a⃗ −b⃗ .

magnitude of A − B =  15.81 km

Explanation:

Vector A points in the negative y-direction and has a magnitude of 5 km. Vector B points in the positive x-direction and has a  magnitude of 15 km.

According to Cartesian coordinate system, the resultant will start either from tail of A and ends at head of B and vice-versa.

A(0,-5)

B(15,0)

A - B = (-15 i - 5 j )

Magnitude of the vector is given by

|A - B| =

|A - B| =

|A - B| = 15.81 km

the temperature in kelvin of 2.0 dm3 of an ideal gas is doubled and its pressure is increased by a factor of four. what is the final volume of the gas