Which of the following will increase if the voltage in a circuit is increased?
check all that apply.
a. power
b. resistance
c. current
d. length of the wire used in the circuit

The answer is A and D.

The relationship between power current and voltage is given by the following equation;

P=IV

P = power

V = voltage

I = current

When the voltage (V is increased and the current (I) is maintained, then the power will definitely increase.

Increasing the voltage also increases the distance that the power can be transmitted with little attenuation or loss. This is why voltage is usually stepped up (which will reduce current) significantly at power stations before it's transmission over long distances.

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