If a vector a has components a. 0, and ay -0, then the magnitude of the vector is negative. select one: true false

False

Explanation:

The magnitude of any vector is given by,

The magnitude of anything is never negative. It can be even seen from the formula that the components are squared. A squared value can never be negative. Even if the component is negative the square will be always positive.

So, magnitude of the vector is not negative.

The given statement is false.

Explanation:

For a given vector

The magnitude is given by

As we can see that the quantity on the right side of equation is always positive since square root of a quantity is always positive thus we conclude that the magnitude of any vector and hence vector A is always positive.

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