Chapter 3: Q. 27 (page 77)
Find a vector that points in the same direction as the vector and whose magnitude is .
The vector in the same direction as the vector and whose magnitude is one is .
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Your dog is running around the grass in your back yard. He undergoes successive displacementssouth, 8.20 m northeast, and 15.0 m west. What is the resultant displacement?
A shopper pushing a cart through a market follows directions to the earned goods and moves through a displacement 8.00i m down one aside. He then makes a 90.0oturn and moves 3.00 m along the y axis. He then makes another 90.0o turn and moves 4.00 m along the x axis . Every shopper who follows these direction correctly ends up 5.00 m from the starting point.
A jet airliner, moving initially at to the east, suddenly enters a region where the wind is blowing at towards the direction north of east. What are the new speed and direction of the aircraft relative to the ground?
The rectangle shown in Figure P3.56 has sides parallel to the xand yaxes. The position vectors of two corners are at andat
(a) Find the perimeter of the rectangle.
(b) Find the magnitude and direction of the vector from the origin to the upper-right corner of the rectangle.
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
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