Finding the angle between two vectors

The video tutorial explains how to find the angle between two vectors using the cosine formula. It begins by introducing the formula and then demonstrates the calculation of the dot product. The tutorial highlights that finding the magnitude is unnecessary when the dot product is zero, as the cosine of the angle will also be zero. It further explains how to use the cosine inverse to determine the angle, emphasizing the concept of orthogonal angles, which are perpendicular and measure 90 degrees.

What is the formula used to find the angle between two vectors?

• Cosine of Theta equals U dot V divided by magnitudes

• Tangent of Theta equals U dot V divided by magnitudes

• Theta equals U dot V divided by magnitudes

• Sine of Theta equals U dot V divided by magnitudes

How is the dot product of two vectors calculated?

• By dividing the magnitudes of the vectors

• By subtracting the magnitudes of the vectors

• By adding the magnitudes of the vectors

• By multiplying the corresponding components and adding them

What is the result of the dot product in the given example?

• 12

• 0

• -6

• 6

What angle corresponds to a cosine value of zero?

• 0 degrees

• 45 degrees

• 90 degrees

• 180 degrees

What term is used to describe angles that are 90 degrees?

• Orthogonal angles

• Obtuse angles

• Acute angles

• Reflex angles