Scalar product is obtained when:
Correct answer: C. Two vectors are multiplied to give a scalar
- A. A scalar is multiplied by a scalar
- B. A scalar is multiplied by vector
- C. Two vectors are multiplied to give a scalar
- D. Sum of two scalars is taken
Explanation
The correct answer is Option C:Two vectors are multiplied to give a scalar. The scalar product, also known as the dot product, is obtained by multiplying two vectors and yielding a scalar quantity. This is achieved by multiplying the magnitudes of the vectors and the cosine of the angle between them. Options A, B, and D are incorrect because they do not accurately describe the process of obtaining a scalar product.
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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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