01.23 Consider the two repeated vector products A x (B × C) and (A × B) × Č. Give an example that illustrates the general rule that these two vector products do not have the same magni- tude or direction. Can you choose the vectors A, B, and Č such that these two vector products are equal? If so, give an example.

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Q: If A = a(3.0i + 4.0j), where a is a constant, determine the value of a that makes A a unit vector.

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Q: What are (a) the x component and (b) the y component of a vector a→ in the xy plane if its direction…

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Q: Draw the following vector. Determine the resultant vector. (scale: 1cm = 10 mm) or make your own…

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Q: A displacement vector points in a direction of θ = 25° left of the positive y-axis. The magnitude of…

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Q: +y 20.00 60.0° +x The three displacement vectors in the drawing have magnitudes of A = 5.11 m, B =…

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Q: A vector A = Axi + Ayj + Azk has magnitude A. Then the dot product of the vector with itself, A.A is

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Q: Write a unit vector n along the vector sum S *

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Q: points east, and the j vector points north.) 3.6

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.