Question

Find the component form of the resultant vector.

9) u = (-5, -2)
b =(3, 1)
Find: -u + b


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Answer 1

the component form of the resultant vector is (-2, -1).

Explanation:

To find the component form of the resultant vector, we need to add the corresponding components of the two input vectors. In this case, the x-component of the resultant vector is equal to the x-component of vector b minus the x-component of vector u, and the y-component of the resultant vector is equal to the y-component of vector b minus the y-component of vector u.

We can therefore write the component form of the resultant vector as follows:

-u + b = (-u_x + b_x, -u_y + b_y) = (-5 + 3, -2 + 1) = (-2, -1)

therefore, the component form of the resultant vector is (-2, -1).