Which of the following are vector quantities? i. The velocity of a frisbee ii. The width of a crater made by an asteroid iii. The speed of a car on the highway iv. The displacement of a billiard ball after it is struck by the cue ball
A
i only
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B
i and ii
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C
ii and iii
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D
i and iv
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Solution
The correct option is D i and iv A vector quantity indicates that the number has a magnitude (size) and direction. Using this knowledge it can be determined that: i the velocity of a frisbee is a vector quantity because the velocity indicates magnitude and direction. ii. the width of a crater made by an asteroid is not a vector quantity because the width does not indicate direction. iii. the speed of a car on the highway is not a vector quantity because the speed of a car does not indicate direction. iv. the displacement of a billiard ball after it is struck by the cue ball is a vector quantity because the displacement indicates magnitude and direction.