Two vectors A and B are making angle θ with each other. The scalar prosectiol of vector B on vector A is written as.
Correct answer: C. A.B/A
- A. Cosθ
- B. A.B/B
- C. A.B/A
- D. Sinθ
Explanation
When we talk about the scalar projection of vector B onto vector A, we're looking at the component of vector B that lies in the same direction as vector A. It can be calculated by taking the magnitude of vector B and multiplying it by the cosine of the angle between vectors A and B. Similarly, the scalar projection of vector A onto vector B is the component of vector A that lies in the same direction as vector B, which can be calculated by taking the magnitude of vector A and multiplying it by the cosine of the angle between vectors A and B.
This question appeared on the KMU Centralized Admission Test 2020 paper, which you can sit online with every answer explained.
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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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