Two vectors A and B are making angle θ with each other. The scalar projection of vector B on vector A is written as____________?
Correct answer: A. A.B/A
- A. A.B/A
- B. A.B/B
- C. A.cosθ
- D. Both a and b are correct
Explanation
The scalar projection of B on A is the component of B along the direction of A, given by A · B divided by the magnitude of A, written here as A.B/A. Dividing by B gives the projection of A on B instead. Students often choose b by reversing the vector named in the projection.
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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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