"vector a⃗ , which is shown in the figure, has a magnitude of 10 and a direction angle of 60º. what is the magnitude and direction angle (as measured counterclockwise from the positive x-axis) of −a⃗ /2?

-5, 60º
5, 240º
5, -30º
-5, -30º
-5, 240º"

Second option 5, 240°

Magnitude of vector A=10
Direction angle of vector A=60°

-A/2 is a vector with magnitude equal to the half of the magnitude of the vector A and direction opposite to the direction of vector A, because the minus sign, then:

Magnitude of vector -A/2=Magnitude of vector A / 2 =10/2→
Magnitude of vector -A/2=5

Direction angle of vector -A/2=Direction angle of vector A + 180°=60°+180°→
Direction angle of vector -A/2=240°

Second option 5, 240°