Find the magnitude and the direction of vactor c=3a - 2b, draw the three vectors in x-y system.

Since we already have the x and y components of vectors A and B, we just need to perform the equation for C in the two components.

x-component:


y-component:


We then solve for the magnitude of vector C by using the pythagorean theorem:





For the direction, if we perform the operation , we'll get the angle from the horizontal.



ANSWER: Vector C has a magnitude of 24.17 N and a direction of 114.44 degrees from the horizontal.

What even is this. where is the question