Question

True or False In space, the dot product of two vectors is a positive number.

Short answer

The statement is False.

Step-by-step solution

Step 1. Given information

The given statement is

In space, the dot product of two vectors is a positive number.

We have to say whether it is True or False.

Step 2.

The dot product of two vectors can also be negative when angle between the two vectors lie between $\frac{\mathrm{\pi }}{2}$to $\mathrm{\pi }$.

So, the given statement is False.