Given vectors $u ⃗$ and $v ⃗$, sketch the resultant vector $u ⃗+v ⃗$

• A.
• B.
• C.
• D.

Answer: (B)

Verified step by step guidance

1. Identify the given vectors \( \vec{u} \) and \( \vec{v} \) on the grid. Note their directions and magnitudes.
2. To find the resultant vector \( \vec{u} + \vec{v} \), use the 'tip-to-tail' method. Place the tail of \( \vec{v} \) at the tip of \( \vec{u} \).
3. Draw the resultant vector \( \vec{u} + \vec{v} \) from the tail of \( \vec{u} \) to the tip of \( \vec{v} \).
4. Ensure the resultant vector is correctly labeled as \( \vec{u} + \vec{v} \) and check that it forms a closed triangle with the original vectors.
5. Verify the direction and length of the resultant vector by comparing it with the grid lines and the original vectors.