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What is the magnitude of a vector obtain...

What is the magnitude of a vector obtained by addition of two vectors, `6hati+7hatj and 3 hati+4hatj` ?

A

`sqrt(160)`

B

`sqrt(136)`

C

`sqrt(202)`

D

`sqrt(13.2)`

Text Solution

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The correct Answer is:
C
When the two vectors are added, we get the resultant vector `vec R`
`vec R = (6hati +7hatj)+ (3hati+4hatj)=9hati+11hatj`
`therefore` Magnitude of R or `|R| = sqrt (9^(2)+11^(2))`
`=sqrt(81+121)= sqrt (202)`
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