A protester carries his sign of protest, starting from the origin of an XYZ coordinate system, with the XY plane horizontal. He moves 71 m in the negative direction of the x-axis, then 12 m along a perpendicular path to his left, and then 47 m up a water tower. In unit-vector notation, what is the displacement of the sign from start to end?

Question

Mathematics

Mckayla Rosales

7 November, 10:46

A protester carries his sign of protest, starting from the origin of an XYZ coordinate system, with the XY plane horizontal. He moves 71 m in the negative direction of the x-axis, then 12 m along a perpendicular path to his left, and then 47 m up a water tower. In unit-vector notation, what is the displacement of the sign from start to end?

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Answers (1)

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Norah Herring · Answer 1

-71i + 12j + 47k

Step-by-step explanation:

The notation of the distance moved

In x-direction = - 71

Considering the left side as the positive y - direction;

In y-direction = 12

In z-direction = 47

Therefore, the vector notation is

Displacement r = - 71i + 12j + 47k