Asked by Anonymous
A hiker follows a route that consists of three displacement vectors A, B, and C. Vector A is along a measured trail and is 1550 meters in a direction 25 degrees north of east. The direction of Vector B is 41 degrees east of south, and the direction of vector C is 35 degrees north of west. The hiker ends up back where at the original starting point, so the reslultant displacement is zero or A+B+C=0. Find the magnitudes of Vectors B and C.
An explanation of the answer with some work would be greatly appreciated. Thanks.
An explanation of the answer with some work would be greatly appreciated. Thanks.
Answers
Answered by
bobpursley
Break each of the vectors into N, E components.
For instance:
vectorC is -C*Cos35 E and C*sin35N
do that for all three vectors, then the sum of all three E vectors will be zero, and the sum of all three N vectors will be zero. Solve B, C (B,C is a magnitude of vectors b, C
For instance:
vectorC is -C*Cos35 E and C*sin35N
do that for all three vectors, then the sum of all three E vectors will be zero, and the sum of all three N vectors will be zero. Solve B, C (B,C is a magnitude of vectors b, C
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