Questions from General Calculus


Q: For any vectors u, v, and w in V3,

For any vectors u, v, and w in V3, (u + v) × w = u × w + v × w

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Q: For any vectors u, v, and w in V3,

For any vectors u, v, and w in V3, u ∙ (v × w) = (u × v) ∙ w

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Q: For any vectors u, v, and w in V3,

For any vectors u, v, and w in V3, u × (v × w) = (u × v) × w

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Q: An elastic band is hung on a hook and a mass is

An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and then released, it vibrates vertically. The equation of motion is s = 2 cos t + 3...

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Q: For any vectors u and v in V3, (u ×

For any vectors u and v in V3, (u × v) ∙ u = 0.

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Q: For any vectors u and v in V3, (u +

For any vectors u and v in V3, (u + v) × v = u × v.

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Q: The vector 3, −1, 2 is parallel

The vector 3, −1, 2 is parallel to the plane 6x - 2y + 4z = 1

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Q: A linear equation Ax + By + Cz + D = 0

A linear equation Ax + By + Cz + D = 0 represents a line in space.

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Q: The set of points {(x, y, z) |

The set of points {(x, y, z) | x2 + y2 = 1} is a circle.

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Q: In R3 the graph of y = x2 is a paraboloid.

In R3 the graph of y = x2 is a paraboloid.

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