Fill in the blank:

If the dot product of two non-zero vectors is positive, the angle between them is ________.

Is this statement true or false?

If the magnitudes of two vectors are equal, the angle between them for maximum dot product is 45 degrees.

Given vectors A = (3, 0) and B = (0, -4), what is the angle between them?

Is this statement true or false?

If two vectors are parallel, the angle between them is 0 degree.

Fill in the blank:

In a 3-dimensional space, the range of possible angles between two vectors is ________.

If the angle between two vectors is 120 degrees, what is the value of their dot product?

What is the angle between a vector and its negative vector?

Fill in the blank:

When the dot product of two vectors is zero, the angle between them is ________.

Which trigonometric function is used to find the angle between two vectors given their components?

If the dot product of two non-zero vectors is negative, what is the angle between them?