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 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.

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14. Vectors

Geometric Vectors

Precalculus

14. Vectors

Geometric Vectors

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Multiple Choice

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

option A image

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option c image

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Verified step by step guidance

Identify the given vectors u⃗ and v⃗ in the image. Note their direction and magnitude.

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.

Draw the resultant vector u⃗ + v⃗ starting from the tail of u⃗ to the tip of v⃗.

Ensure the resultant vector is correctly positioned and oriented based on the addition of the two vectors.

Verify the sketch by checking that the resultant vector forms a triangle with the original vectors, confirming the vector addition.

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Struggling with Precalculus?

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

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