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I need to know the magnitude of vector a + b .. see picture

I need to know the magnitude of vector a + b .. see picture-example-1
User Nikant
by
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1 Answer

20 votes
20 votes

Answer:

4.85 units

Step-by-step explanation:

We can represent the situation as follows:

Then, we can use the cosine law to find the magnitude of A+B as follows


A+B=\sqrt[]{A^2+B^2-2AB\cos \theta}

Where A and B are the magnitudes of vectors A and B, and θ is the angle between them.

So, replacing the values, we get:


\begin{gathered} A+B=\sqrt[]{4^2+5.4^2-2(4)(5.4)\cos 60} \\ A+B=\sqrt[]{16+29.16-21.6} \\ A+B=\sqrt[]{23.56}=4.85 \end{gathered}

Therefore, the magnitude of A+B is 4.85 units

I need to know the magnitude of vector a + b .. see picture-example-1
User Shiri
by
2.3k points