Consider the two vectors, vector A of magnitude 4 units and vector B of magnitude 5 units. If the angle between the two vectors is 60°, then find the scalar product of vector A and vector B.
Correct Answer:
C. 10
Explanation:
The scalar product (or dot product) of two vectors, A and B, is calculated using the formula A · B = |A| |B| cos(θ), where |A| and |B| are the magnitudes of the vectors and θ is the angle between them. Given that vector A has a magnitude of 4 units, vector B has a magnitude of 5 units, and the angle θ is 60°, the calculation is 4 × 5 × cos(60°). Since the cosine of 60° is 0.5, the product becomes 20 × 0.5, which equals 10. Therefore, the scalar product of these two vectors is 10 units.
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