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3. add the following vectors:

Question

  1. add the following vectors:

Explanation:

Step1: Identify vector components

We have two - dimensional vectors. Let's assume the vertical vectors are in the y - direction and the horizontal vectors are in the x - direction. The vertical components sum up to $17 + 17=34$ m and the horizontal component is 22 m.

Step2: Use the Pythagorean theorem

The magnitude of the resultant vector $R$ of two perpendicular vectors $A$ and $B$ is given by $R=\sqrt{A^{2}+B^{2}}$. Here, $A = 22$ m and $B = 34$ m. So, $R=\sqrt{22^{2}+34^{2}}=\sqrt{484 + 1156}=\sqrt{1640}\approx40.5$ m.

Answer:

Approximately 40.5 m