The dot product of two perpendicular unit vectors is equal to
Correct answer: B. 0
- A. 1
- B. 0
- C. -1
- D. √2
Explanation
The dot product of two vectors is calculated as |A||B|cos(θ), where θ is the angle between the vectors. For perpendicular vectors, θ is 90 degrees, and cos(90°) is 0. Therefore, the dot product of two perpendicular unit vectors is 0. Option A (1) and Option C (-1) are applicable to situations with parallel or opposite vectors, not perpendicular ones. Option D (√2) is not possible as the dot product of unit vectors is confined between -1 and 1.
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About Scalar Product
The scalar product of two vectors is A dot B equals AB cos theta, producing a scalar determined by their magnitudes and included angle. Applications include work done and projection of one vector on another, with perpendicular vectors giving zero and the scalar product distinguished from the vector product.
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