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 u⃗ and v⃗ in the image. Note their direction and magnitude.
2. To find the resultant vector u⃗ + v⃗, use the 'tip-to-tail' method. Place the tail of vector v⃗ at the tip of vector u⃗.
3. Draw the resultant vector u⃗ + v⃗ starting from the tail of u⃗ to the tip of v⃗.
4. Ensure the resultant vector is correctly positioned and oriented based on the addition of the two vectors.
5. Verify the sketch by checking that the resultant vector forms a triangle with the original vectors, confirming the vector addition.