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Problem 11

Does the magnitude of a vector refer to its length or its direction?

Problem 11

Identify Does the magnitude of a vector refer to its length or its direction?

Problem 12

How are the components of a vector related to its magnitude?

Problem 14

Suppose that each component of a vector is doubled. (a) Does the magnitude of the vector increase, decrease, or stay the same? Explain. (b) Does the direction angle of the vector increase, decrease, or stay the same?

Problem 14

Triple Choice Suppose that each component of a vector is doubled. (a) Does the magnitude of the vector increase, decrease, or stay the same? Explain. (b) Does the direction angle of the vector increase, decrease, or stay the same?

Problem 15

As an airplane descends toward an airport, it drops a vertical distance of \(24 \mathrm{~m}\) and moves forward a horizontal distance of \(320 \mathrm{~m}\). What is the distance covered by the plane during this time?

Problem 16

You are driving up an inclined road. After \(2.4 \mathrm{~km}\) you notice a roadside sign that indicates that your elevation has increased by \(160 \mathrm{~m}\). What is the angle of the road above the horizontal?

Problem 17

The displacement vector from your house to the library is \(760 \mathrm{~m}\) long, pointing \(35^{\circ}\) north of east. What are the components of this displacement vector?

Problem 18

In gym class you run \(22 \mathrm{~m}\) horizontally, then climb a rope vertically for \(4.8 \mathrm{~m}\). What is the direction angle of your total displacement, as measured from the horizontal?

Problem 20

How do you place the heads and tails of two vectors that you want to add?

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