Discussion
Which of the given options best describes the truthfulness of the following statements?
i) Physical quantities which have magnitude only are called scalar quantities.
ii) Physical quantities which have both magnitude and direction are called vector quantities.
iii) Two equal and opposite parallel forces acting at different points in a body constitute a couple.
Answer: A
All three statements are true. Physical quantities with only magnitude, such as mass and time, are scalars. Quantities with both magnitude and direction, such as velocity and force, are vectors. Two equal and opposite parallel forces acting at different points of a body constitute a couple, which tends to turn the body without moving it as a whole. Since all three are true, the options that mark any of them false are wrong. The turning effect of a couple is its moment, which is the force times the perpendicular distance between the two lines of action.
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