$C=A+B$

where $C$ is a new vector that is the sum of A and $B.$

Find the angle $b$ that the vector $C$ makes with vector $A.$

Express your answer in terms of some or all of $A,B,C$ and $.$ Angles are measured in radians. Use asin for arcsine$.$

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Hint $1.$ Law of sines

Although this angle can be determined using the law of cosines with $b$ as the angle, a simpler method exists for finding the angle $-$ the law of sines: $\frac{sin(b)}{B}=\frac{sin(c)}{C}=\frac{sin(a)}{A}$

Figure

$2$ of $2$

$b=$

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