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

In this problem, we are given vectors u and v, and we're asked to sketch the result in vector u plus v. Now to solve this, what I'm going to do is use the tip to tail method. And for the tip to tail method, recall that we can take vectors and we can move them around. So I'm gonna take vector v, and I'm going to draw it so it's at the tip of vector u, the tail of vector 'v' is. So moving this vector over here it's going to start at this point and I can see this vector is 1, 2 units to the right and 1, 2, 3, 4 units down. So gonna go 2 units to the right, 1, 2, 3, 4 units down, and this right here would be vector 'v'. So now that I have vector 'v' drawn right in this position right there, I can now draw the resultant vector, which is going to be from the initial point of the first vector to the terminal point of the last vector there. So this right here would be the vector u+v. And keep in mind, you could have drawn this vector anywhere on the grid. It doesn't matter where you draw it. It just matters the length and the direction of the vector that you get, or the magnitude and direction, I should say. So hope you found this video helpful. Thanks for watching.

8. Vectors

Geometric Vectors

Trigonometry

8. Vectors

Geometric Vectors

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Multiple Choice

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

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Verified step by step guidance

Identify the given vectors $ \vec{u} $ and $ \vec{v} $ on the grid. Note their directions and magnitudes.

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} $.

Draw the resultant vector $ \vec{u} + \vec{v} $ from the tail of $ \vec{u} $ to the tip of $ \vec{v} $.

Ensure the resultant vector is correctly labeled as $ \vec{u} + \vec{v} $ and check that it forms a closed triangle with the original vectors.

Verify the direction and length of the resultant vector by comparing it with the grid lines and the original vectors.

3:48m

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Struggling with Trigonometry?

Given vectors u⃗u ⃗u⃗ and v⃗v ⃗v⃗, sketch the resultant vector u⃗+v⃗u ⃗+v ⃗u⃗+v⃗

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Geometric Vectors practice set

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