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?
