F1 = 6*cos(30) i + 6*sin(30) j = 5.20 i + 3 j
<span>F2 = 0 i + 5 j </span>
<span>R = F1 + F2 </span>
<span>Add the 'i's together (x direction) and the 'j's together (y direction) </span>
<span>R = (5.20 + 0) i + (3 + 5) j = 5.2 i + 8 j </span>
<span>Magnitude: </span>
<span>||R|| = </span>√<span>(5.2^2 + 8 ^2) = </span>√<span>91 = 9.54 </span>
<span>Direction: </span>
Θ<span> = atan ( Rj / Ri ) = atan( 8 / 5.2 ) = 57.0</span>⁰
To find a fraction's lowest term, just simplify them and divide to find the decimal form.
12/24 = 1/2, 0.5
3/30 = 1/10, 0.1
10/8 = 5/4, 1.25
34/20 = 17/10, 1.7
14/8 = 7/4, 1.75
Finished!
Can you add the options?
Also since the options aren't there I'll just help set up.
So angle 1 and angle 3 add up to 90 degrees. Angle 1 and Angle 2 are equal so whatever option has something around those lines is correct.
Answer: (a)
Step-by-step explanation:
Given
Clearly, 
is obtained by shifting 
3 units down and multiplying it by a certain factor to amplify it.
Checking the option which is 3 units below and multiplying by a factor
option (a) is meeting both the cirterias.
