Question

I need to know the magnitude of vector A + b .. see photo

Answer 1

Given,

The magnitude of vector A, A=4.00 units

The magnitude of vector B, B=5.40 units

The angle between A and B, θ=60.0°

The magnitude of the sum of two vectors is given by,

`|\vec{A}+\vec{B}|=\sqrt[]{A^2+B^2+2AB\cos \theta}`

On substituting the known values,

`\begin{gathered} |\vec{A}+\vec{B}|=\sqrt[]{4.00^2+5.40^2+2*4.00*5.40*\cos 60^(\circ)} \\ =8.17\text{ units} \end{gathered}`

Therefore, the magnitude of the sum of the two given vectors is 8.17 units