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Find The Angle Between Two Vectors

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

Is this statement true or false?

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

Fill in the blank:

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

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

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

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

Fill in the blank:

In a 3-dimensional space, the range of possible angles between two vectors 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?

Fill in the blank:

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