Question

a⃗ =⟨−3,−2⟩ and b⃗ =⟨2,4⟩ .

Represent a⃗ −b⃗ using the head-to-tail method.

Use the Vector tool to draw the vectors, complete the subtraction by the head-to-tail method, and draw a⃗ −b⃗ .

To use the Vector tool, select the initial point and then the terminal point.

Answer 1

The resultant of the subtraction by the head-to-tail method, is determined as 7.81.

Head-to-tail method of vector subtraction

The head-to-tail method of vector subtraction is done by adding the negative of the second vector to the first.

The diagram can be found in the image uploaded.

Resultant vector

The resultant vector is determined as follows;

• Vertical distance from 4 to negative 2 = 4 - (-2) = 6
• Horizontal distance from 2 to negative 3 = 2 - (-3) = 5

R² = 6² + 5²

R² = 61

R = √61

R = 7.81

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