Question

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

Answer 1

Answer:

4.85 units

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