Can you find a vector quantity that has a magnitude of zero but components that are not zero? Explain. Can the magnitude of a vector be less than the magnitude of any of its components? Explain.
Solution 16DQ Step 1: The equation for magnitude of an arbitrary vector, xi + y j + zk is, R = x + y + z 2 Step 2: 2 2 2 From the equation for magnitude, we can see that, R = 0 only if, x + y + z = 0 Since x, y and z are real numbers, their square term will be always positive. Therefore, x > 0, y > 0 and z > 0 Our condition is, whether the magnitude will become zero if the components are non zero. For the condition, x + y + z = 0, x, y and z should be zero. 2 2 2 If any of these components are having a non zero value, then, x + y + z 0.
Textbook: University Physics
Author: Hugh D. Young, Roger A. Freedman
Since the solution to 16DQ from 1 chapter was answered, more than 272 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: University Physics, edition: 13. This full solution covers the following key subjects: magnitude, explain, components, Vector, Zero. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 16DQ from chapter: 1 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. The answer to “Can you find a vector quantity that has a magnitude of zero but components that are not zero? Explain. Can the magnitude of a vector be less than the magnitude of any of its components? Explain.” is broken down into a number of easy to follow steps, and 36 words. University Physics was written by and is associated to the ISBN: 9780321675460.