Chapter 3: Q. 7 (page 77)
Can a vector have zero magnitudes if one of its components is nonzero? Explain.
Short Answer
It is not possible to have a vector of zero magnitude when one of its components is non-zero.
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Chapter 3: Q. 7 (page 77)
Can a vector have zero magnitudes if one of its components is nonzero? Explain.
It is not possible to have a vector of zero magnitude when one of its components is non-zero.
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5. I A position vector in the first quadrant has an x-component of 6m and a magnitude of 10m . What is the value of its y-component?
Are the following statements true or false? Explain your answer.
a. The magnitude of a vector can be different in different coordinate systems.
b. The direction of a vector can be different in different coordinate systems.
c. The components of a vector can be different in different coordinate systems.
Tom is climbing a -long ladder that leans against a vertical wall, contacting the wall above the ground. His weight of is a vector pointing vertically downward. (Weight is measured in newtons, abbreviated N.) What are the components of Tom's weight parallel and perpendicular to the ladder?
| The treasure map in FIGURE P3.40 gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 500 paces, then due east for 100 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle east of north. After walking 300 paces you see an opening through the woods. Which direction should you go, and how far, to reach the treasure?

shows three ropes tied together in a knot. One of your friends pulls on a rope with 3.0 units of force and another pulls on a second rope with 5.0 units of force. How hard and in what direction must you pull on the third rope to keep the knot from moving?

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