The terminals of a battery are connected across two resistors in series. The resistances of the resistors are not the same. Which of the following statements are correct?

a. The potential difference across each resistor is the same.
b. The resistor with the larger resistance carries less current than the other resistor.
c. The current in each resistor is the same.
d. The potential difference is greatest across the resistor closest to the positive terminal.
e. The resistor with the smaller resistance carries more current than the other resistor.

c

Explanation:

Two resistors of unequal resistance are connected in series with a battery.

We know that current in series is same across the circuit so option c is correct  

Option a is incorrect because the potential difference across each resistance depends upon resistance as the current is the same for both the resistance. So potential difference across greater resistance is more compared to another resistor.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

ingenuity says that the answer is 2.7 m.