Questions from General Calculus


Q: A spring with an 8-kg mass is kept stretched 0

A spring with an 8-kg mass is kept stretched 0.4 m beyond its natural length by a force of 32 N. The spring starts at its equilibrium position and is given an initial velocity of 1 m/s. Find the posit...

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Q: If a is a vector and c is a scalar, how

If a is a vector and c is a scalar, how is ca related to a geometrically? How do you find ca algebraically?

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Q: How are dot products useful?

How are dot products useful?

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Q: How are cross products useful?

How are cross products useful?

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Q: How do you find a vector perpendicular to a plane?

How do you find a vector perpendicular to a plane?

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Q: A vector field F, a curve C, and a point

A vector field F, a curve C, and a point P are shown. (a). Is ∫C F dr positive, negative, or zero? Explain. (b). Is div F (P) positive, negative, or zero? Explain.

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Q: Write a vector equation, parametric equations, and symmetric equations for

Write a vector equation, parametric equations, and symmetric equations for a line.

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Q: Write a vector equation and a scalar equation for a plane.

Write a vector equation and a scalar equation for a plane.

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Q: (a). How do you tell if two vectors are parallel

(a). How do you tell if two vectors are parallel? (b). How do you tell if two vectors are perpendicular? (c). How do you tell if two planes are parallel?

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Q: (a). Describe a method for determining whether three points P

(a). Describe a method for determining whether three points P, Q, and R lie on the same line. (b). Describe a method for determining whether four points P, Q, R, and S lie in the same plane.

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