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Chapter 3: Q. 8 (page 77)
Suppose two vectors have unequal magnitudes. Can their sum be zero? Explain.
No, their sum cannot be zero.
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a. What is the angle between vectors in FIGURE P3.24?
b. Use geometry and trigonometry to determine the magnitude and direction of
c. Use components to determine the magnitude and direction of
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?
III The bacterium . coli is a single-cell organism that lives in the BIO gut of healthy animals, including humans. When grown in a uniform medium in the laboratory, these bacteria swim along zig-zag paths at a constant speed of . FIGURE P3.41 shows the trajectory of an . coli as it moves from point A to point E. What are the magnitude and direction of the bacterium's average velocity for the entire trip?
Can the magnitude of the displacement vector be more than the distance traveled? Less than the distance traveled? Explain
Let Find the -components of localid="1651138630094" in each of the two coordinate systems shown in FIGURE EX3.18.
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