[15] Obtain expressions for the position vectors with polar coordinates (a) 12.8m, 150°; (b) 3.3cm, 60°; (c) 22cm, 215°.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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[15] Obtain expressions for the position vectors with polar coordinates (a) 12.8m, 150°; (b)
3.3cm, 60°; (c) 22cm, 215°.
[16] Find the x and y components of the vector i and i shown in Figure 1.1. Derive an
expression for the resultant vector i+B in unit vector notation.
y
B
Figure 1.1
[17] A vector à has a magnitude of 35 units and makes an angle of 37° with the positive x
axis. Describe (a) a vector 5 that is in the direction opposite i and is one fifth the size of i,
and (b) a vector č that when added to i will produce a vector twice as long as à pointing in
the negative y direction.
[18] Find the magnitude and direction of a displacement vector having x and y components of
-Sm and 3m, respectively.
Transcribed Image Text:[15] Obtain expressions for the position vectors with polar coordinates (a) 12.8m, 150°; (b) 3.3cm, 60°; (c) 22cm, 215°. [16] Find the x and y components of the vector i and i shown in Figure 1.1. Derive an expression for the resultant vector i+B in unit vector notation. y B Figure 1.1 [17] A vector à has a magnitude of 35 units and makes an angle of 37° with the positive x axis. Describe (a) a vector 5 that is in the direction opposite i and is one fifth the size of i, and (b) a vector č that when added to i will produce a vector twice as long as à pointing in the negative y direction. [18] Find the magnitude and direction of a displacement vector having x and y components of -Sm and 3m, respectively.
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