In this lesson, we will learn how to subtract vectors by adding its negative, how to subtract vectors geometrically using the head-to-tail method and how to subtract vectors using their components.
Subtracting a vector is the same as adding its negative.
The difference of the vectors p and q is the sum of p and –q.
p – q = p + (–q)
Subtract the vector v from the vector u.
u – v = u + (–v)
Change the direction of vector v to get the vector –v.
Check: The column vector should represent the vector that was drawn.
u - v = u + (-v)
Since we know how to add vectors and multiply by negative one, we can also subtract vectors.
Geometric subtraction of two vectors
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