(a) What is the sum in unit-vector notation of the two vectors ![src=data:image/png;base64,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]()
![src=data:image/png;base64,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]()
(b) What are the magnitude and the direction of ![src=data:image/png;base64,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]()
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Amit Saxena , 10 Years ago
Grade upto college level
Mechanics> (a) What is the sum in unit-vector notati...
1 AnswersNavjyot Kalra
Last Activity: 10 Years ago
Consider two vectors given as:
Then the sum (say
) of the above two vectors can be stated in unit vector notation as:
Given:
(a) From above it is clear that the sum of the vectors
and vector 
can be given in the unit vector notation as:
Comparing the given vectors to the vectors represented by equation (1) and (2), we have
Therefore the sum of the vectors in unit vector notation is .
Therefore the sum of the vectors in unit vector notation is
.
Then the sum (say
) of the above two vectors can be stated in unit vector notation as:Given:
(a) From above it is clear that the sum of the vectors
and vector can be given in the unit vector notation as:Comparing the given vectors to the vectors represented by equation (1) and (2), we have
Therefore the sum of the vectors in unit vector notation is .
Therefore the sum of the vectors in unit vector notation is
.
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