Question

Consider two vectors A and B as shown in the figure below. The magnitude of these two vectors are: A = 10 and B = 18. The vector C is defined as the sum of these two vectors, (C =A +B). The components of vector C are:

Answer 1

Given

A = 10

B = 18

C = A + B

Explanation

`\begin{gathered} Ax=10\cos65=4.22 \\ Ay=10\sin65=9.06 \end{gathered}`
`\begin{gathered} Bx=-18\cos15=-17.38 \\ By=18\sin16=4.65 \end{gathered}`

Finally C

`\begin{gathered} Cx=Ax+Bx=-13.17 \\ Cy=Ay+By=13.72 \end{gathered}`