Solving Vector Operations: 4 Sets of Displacement

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To determine which sets of displacement can return a car to its starting point, one must consider the vector nature of displacement, which includes direction. The longest displacement in each set must be counteracted by the sum of the other displacements. For example, a set like 5, 7, 9, and 16 km can create a null vector, indicating a return to the starting point. However, sets like 5, 10, 30, and 50 km cannot achieve this as they lack the necessary directional components. The question lacks completeness as it does not specify directions for the displacements.
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can anyone tell me how to deal with this question-:

which of the following sets of displacement might be capable of bringing a car to its starting point?
a. 5,10,30 and 50km
b. 40,50,90and 200km
c. 10,20,40and 90km
d. 5,7,9and 16km

advanced thanks.
 
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amaresh92 said:
can anyone tell me how to deal with this question-:

which of the following sets of displacement might be capable of bringing a car to its starting point?
a. 5,10,30 and 50km
b. 40,50,90and 200km
c. 10,20,40and 90km
d. 5,7,9and 16km

advanced thanks.
Can you give us the whole question as it is written, exactly?

AM
 


but this much only is given.
 


Look at the longest displacement and see if the car can make it backwards with the other displacements. The car do not need to go along a straight line.

ehild
 


what is the use of null or zero vector.
 


A vector with length zero is called null vector or zero vector. If you write the vector sum of all the displacements and the resultant is zero that means that the car returned to its original position.

ehild
 


amaresh92 said:
but this much only is given.
These are not displacements. A displacement is a vector quantity having distance and direction. There is no direction given. So the question that you have provided is not complete.

AM
 


Those set of numbers are presumably lengths of displacements. If the car goes 50 km at one direction, it never gets back with any displacements of length 5, 10 and 30 km, but displacement vectors of length 5, 7, 9 and 16 km can result in a null vector.

ehild
 

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