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Title:  Vector and Applied Mathematics III 
Authors:  FUOYE 
Keywords:  Geometric representation Vectors in 1 3 dimensions Multiplication of vectors Linear independence 
Issue Date:  26Mar2015 
Abstract:  Geometric representation of vectors in 1 3 dimensions, components,
direction cosines.
• Addition, Scalar, multiplication of vectors, linear independence. Scalar and
vector products of two vectors.
• Differentiation and integration of vectors with respect to a scalar variable.
• Twodimensional coordinate geometry. Straight lines, circles, parabola,
ellipse, hyperbola. Tangents, normals,
• Kinematics of a particle. Components of velocity and acceleration of a
particle moving in a plane.
• Force, momentum, laws of motion under gravity, projectiles, resisted
vertical motion. Angular momentum.
• Simple harmonic motion, elastic string, simple pendulum, impulse. Impact of
two smooth sphere and of a sphere on a smooth surfac 
Description:  Geometric representation of vectors in 1 3 dimensions, components,
direction cosines.
• Addition, Scalar, multiplication of vectors, linear independence. Scalar and
vector products of two vectors.
• Differentiation and integration of vectors with respect to a scalar variable.
• Twodimensional coordinate geometry. Straight lines, circles, parabola,
ellipse, hyperbola. Tangents, normals,
• Kinematics of a particle. Components of velocity and acceleration of a
particle moving in a plane.
• Force, momentum, laws of motion under gravity, projectiles, resisted
vertical motion. Angular momentum.
• Simple harmonic motion, elastic string, simple pendulum, impulse. Impact of
two smooth sphere and of a sphere on a smooth surfac 
URI:  http://repository.fuoye.edu.ng/handle/123456789/532 
Appears in Collections:  Mechanical Engineering Course Outline

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