1. A spelunker is surveying a cave. He follows a passage that goes 210m straight West, then 180m in a direction 35° East of North, and finally 110m at 80° South of East. Use the method of components to determine the magnitude and direction of the spelunker's total displacement from the starting point.

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Chapter2: Vectors
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Problem 79AP: A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts...
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1. A spelunker is surveying a cave. He follows a passage that goes 210m straight West, then 180m
in a direction 35° East of North, and finally 110m at 80° South of East. Use the method of
components to determine the magnitude and direction of the spelunker's total displacement
from the starting point.
2. Find the magnitude and direction of the vector represented by each of the following pairs of
components:
a) Lx = 5.60cm and Ly
b) Mx = -2.70m and My = -9.45m
3. Given two vectors : P
=
= - 8.20cm
2.0î - 3.0ĵ+ 4.0k and Ō
=
a.) the magnitude of the vector sum P + Q ?
-2.0î + 4.0k. Determine
b.) the magnitude of the vector difference P ē ?
c.) scalar product P. and the angle between P and Q?
d.) the cross product QXP?
Transcribed Image Text:1. A spelunker is surveying a cave. He follows a passage that goes 210m straight West, then 180m in a direction 35° East of North, and finally 110m at 80° South of East. Use the method of components to determine the magnitude and direction of the spelunker's total displacement from the starting point. 2. Find the magnitude and direction of the vector represented by each of the following pairs of components: a) Lx = 5.60cm and Ly b) Mx = -2.70m and My = -9.45m 3. Given two vectors : P = = - 8.20cm 2.0î - 3.0ĵ+ 4.0k and Ō = a.) the magnitude of the vector sum P + Q ? -2.0î + 4.0k. Determine b.) the magnitude of the vector difference P ē ? c.) scalar product P. and the angle between P and Q? d.) the cross product QXP?
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