consider two vectors A and B with magnitudes and directions as shown in the figu

Question

consider two vectors A and B with magnitudes and directions as shown in the figure
|A| = 13 cm
|B| = 22 cm
Angle A is 55 degrees
Angle B is 40 degrees

a) Carefully draw the vector C = A-B. Be sure to indicate both the magnitude and direction.
b) Use the Law of Cosines to calculate the magnitude |C| of vector C
c) Calculate the components C(x) and C(y) of vector C using the components of A and B .
d) Use the components from part c) to calculate the magnitude |C|, and show that it agrees with the result in part b).
please label. thanks
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Explanation / Answer

vector A= 13(cos55+ j sin 55)
vector B= 22(cos40 + j sin40)
a) c= A-B
= 13cos55-22cos40 + 13sin55-22sin40
=-9.4 - 3.5j
b) magnitude= (9.42 + 3.52)

= 10.03

c) C(x)= -9.4

C(y)= -3.5

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