Moderate

The scalar product of two perpendicular vectors is

Correct answer: B. 0

  • A. -1
  • B. 0
  • C. 1
  • D. 2

Explanation

The scalar product (also known as the dot product) of two vectors is calculated as the product of the magnitudes of the two vectors and the cosine of the angle between them. When vectors are perpendicular, the angle between them is 90 degrees, and the cosine of 90 degrees is 0. Therefore, the scalar product of two perpendicular vectors is 0.Option B is correct because it states that the scalar product of two perpendicular vectors is 0. The other options are incorrect because they do not reflect the true nature of the scalar product for perpendicular vectors.

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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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