Given the vectors and , (a) draw the vector sum and the vector difference (b) Calculate and , in terms of unit vectors. (c) Calculate and in terms of polar coordinates, with angles measured with respect to the positive x axis.
a) The graph is drawn below.
The vector sum and the vector difference
We just add or subtract the corresponding components to determine the vector total or difference.
In order to find and in polar coordinates, we must first determine their magnitudes and angles with the +x-axis.
A radar station locates a sinking ship at range 17.3 km and bearing 130o clockwise from north. From the same station a rescue plane is at horizontal range 19.6 km, 153o clockwise from the north, with elevation 2.20 km.
The biggest stuffed animal in the world is a snake long, constructed by Norwegian children. Suppose the snake is laid out in a park as shown in the Figure P3.53, forming two straight sides of a angle, with one side of a 240m long. Olaf and Inge run a race they invent. Inge runs directly from the tail of the snake from its head, Olaf starts from the same place at the same moment but runs along the snake. (a) If both children run steadily at role="math" localid="1663685313401" , Inge reaches the head of the snake how much earlier than Olaf? (b) If Inge runs race again at a constant speed of , at what constant speed must Olaf run to reach the end of the snake at the same time as Inge?
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