If you force the magnitude of the vector to stay the same, but increase the vertical component value, what happens to the horizontal component of the vector?

The increase in vertical component of the vector, causes a decrease in the horizontal component of the vector.

A vector can be represented in vertical and horizontal components.

where;

From the formula above, as one component vector increases, the other component reduces.

Thus, the increase in vertical component of the vector, causes a decrease in the horizontal component of the vector.

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The horizontal component reduces

Explanation:

The magnitude of a vector is found by taking the root of the sum of the squares of the components of the vector

Therefore, when the values of one of the components is increased, while the other components of the vector stay the same, the magnitude of the vector increases

In order  to increase the value of one of the components of a vector and maintain the magnitude of the vector, the values of one or more of the other components must be reduced.

As such when the magnitude of the vector that has only a vertical and a horizontal component is forced to stay the same, and the vertical component is increased, the horizontal component must be reduced.

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