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297Chap2

# 297Chap2 - Scalars and Vectors scalar A physical quantity...

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Scalars and Vectors scalar A physical quantity having only magnitude, not direc- tion. Fo rexample, time, distance between twopoints, mass, speed, kinetic energy ,temperature, density and volume. vector A physical quantity having magnitude and direction. rexample, forces, displacements, velocities, acceler- ations, and momenta.

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CE 297 2 Vectors Fixed vector A vector with a well-defined point of application which cannot be movedwithout modifying the conditions of the problem. Free vector A vector which may be movedfreely in space. Sliding vector A vector which may be moved, or slid, along its line of action.
CE 297 3 Vectors (cont.) Tw o vectors are said to be equal if theyhav e the same magnitude and direction. The negative o favector has the same magnitude but opposite direction.

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CE 297 4 Addition of Vectors (Parallelogram Law) Giventwo vectors P and Q ,byconstructing a parallelogram using P and Q as twosides, the sum, or resultant, is represented by the diagonal which passes through A .
CE 297 5 Addition of Vectors (Triangle Law) The sum of twovectors may be formed by arranging P and Q in tip-to-tail fashion and then connecting the tail of the first vector to the tip of the last vector. Vector addition is commutative.

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CE 297 6 Subtraction of Vectors Subtraction of vectors is defined as the addition of the corresponding neg- ative vector. P - Q = P + ( - Q )
CE 297 7 Addition of three (or more) vectors Vector addition is associative.

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297Chap2 - Scalars and Vectors scalar A physical quantity...

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