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A and B are two vector given by A= 2hati...

A and B are two vector given by `A= 2hati +3hatjand B=2hati+4hatj` The magnitude to the component of A along B is

A

`(5)/(sqrt(2))`

B

`(3)/(sqrt(2))`

C

`(8)/(sqrt(5))`

D

`(5)/(sqrt(13))`

Text Solution

Verified by Experts

The correct Answer is:
C
(c ) Component of A along B=`(A.B)(B)`
`=(4+12)/(sqrt((2)^(2)+(4)^(2)))=(16)/(2sqrt(5))=(8)/(sqrt(5))`
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