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Chapter 2: Problem 251

To introduce a vector quantity .... (A) it needs magnitude not direction (B) it needs direction not magnitude (C) it needs both magnitude and direction (D) nothing is needed

Short Answer

Expert verified
(C) A vector quantity needs both magnitude and direction.

Step by step solution

01

Understanding Vector Quantity

A vector quantity is a quantity that has both magnitude(complete size or value) and direction. To specify a vector, we must know both the magnitude (how much or the size) and the direction (where it is pointing). Examples of vector quantities are force, velocity, and acceleration. Now, let's analyze the given choices.
02

Choice A: Needs Magnitude, Not Direction

Since we know that a vector quantity requires both magnitude and direction, this choice is incorrect. A quantity with only magnitude, but no direction, is called a scalar quantity.
03

Choice B: Needs Direction, Not Magnitude

This choice is also inaccurate because a vector cannot exist without both magnitude and direction. Without magnitude, the vector would not have any value associated with it.
04

Choice C: Needs Both Magnitude and Direction

This choice is correct since vector quantities require both magnitude and direction. To fully define a vector, we must provide the necessary information about both its size (magnitude) and the direction in which it's pointing or acting.
05

Choice D: Nothing is Needed

This choice is incorrect as vector quantity cannot be defined without specifying its magnitude and direction. A quantity with neither magnitude nor direction does not exist in the context of vector quantities. To conclude, the correct choice is: (C) A vector quantity needs both magnitude and direction.

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Most popular questions from this chapter

\(\mathrm{t}_{1}\) and \(\mathrm{t}_{2}\) are two values of time of a projectile at the same height \(t \mathrm{t}_{1}+\mathrm{t}_{2}=\) (A) Time to reach maximum height (B) flight time for the projectile (C) \((3 / 4)\) time of the flight time. (D) \((3 / 2)\) time of the flight time.

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