Question

A Woman Leaves Home And Walks 3 Mi. West, And Then 2 Mi. South. What Is The Magnitude Of Her Displacement, and what direction must she walk to head directly home? Round to the nearest whole number or degree

Answer 1

Answer: 4 Mi Northeast

Explanation:

• west points left on a compass, and x points left on a graph so the value becomes x ⇒ ( 3x )
• south points down on a compass, and y points down on a graph so the value becomes y ⇒ ( 2y )

Equation:
`V=3x +2 y`

Solving Steps:

1. take the sum of the square of each vector component

`3^2 + 2^2 = 9 + 4 = 13`

2. take the square root of the result from from the last step

`√(13)=3.60555127546`

3. round to nearest whole number as told in your question

60555127546 ⇒ 4

4. find direction to go with number

- opposite of west is east

- opposite of south is north

direction is northeast

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ans = 4 Mi Northeast

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