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))`
A. `(5)/(sqrt(2))`
B. `(3)/(sqrt(2))`
C. `(8)/(sqrt(5))`
D. `(5)/(sqrt(13))`
Correct Answer – C
(c ) Component of A along B=`(A.B)(B)`
`=(4+12)/(sqrt((2)^(2)+(4)^(2)))=(16)/(2sqrt(5))=(8)/(sqrt(5))`