Two vectors A and B make an angle θ between them, the projection of B and A can be given as:
Correct answer: D. |B|cosθ
- A. A cos θ
- B. |B|/|A|
- C. |B|/θ
- D. |B|cosθ
Explanation
The projection of vector B onto vector A is calculated using the formula |B|cosθ, where θ is the angle between the two vectors. This formula comes from the dot product, which relates the magnitudes of the vectors and the cosine of the angle between them.Option A is incorrect as it pertains to the projection of A onto B, not B onto A. Option B represents a magnitude ratio, not a projection. Option C incorrectly involves the angle as a divisor, which is not part of the projection formula.
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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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