Chapter 3: Q2CQ (page 71)
Can the magnitude of a vector have a negative value? Explain.
No the magnitude of a vector don’t have a negative value
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The vector has x, y, and z components of 8.00, 12.0, and 4.00 units, respectively. (a) Write a vector expression for in unit-vector notation. (b) Obtain a unit-vector expression for a vectorrole="math" localid="1663646691086" one-fourth the length of pointing in the same direction as . (c) Obtain a unit-vector expression for a vectorrole="math" localid="1663646702975" three times the length of pointing in the direction opposite the direction of .
Consider the three displacement vectors , and . Use the component method to determine (a) the magnitude and direction of and (b) the magnitude and direction of
A vector is given by. Find
(a) The magnitudes of the, andcomponents;
(b) The magnitude of; and
(c) The angles betweenand theandaxes.
A ferry transports tourists between three islands. It sails from the first island to the second island,away, in a directionnorth of east. It then sails from the second island to the third island in a directionwest of north. Finally it returns to the first island, sailing in a directioneast of south. Calculate the distance between
(a) the second and third islands and (b) the first and third islands.
Let vector point from the origin into the second quadrant of the plane and vector point from the origin into the fourth quadrant. The vector must be in which quadrant,
(a) the first,
(b) the second,
(c) the third, or
(d) the fourth, or
(e) is more than one answer possible?
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