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vec(A) and vec(B) are two vectors given ...

`vec(A) and vec(B)` are two vectors given by `vec(A)= 2hat(i)+ 3hat(j) and vec(B)= hat(i)+ hat(j)`. The magnitude of the component of `vec(A)` along `vec(B)` is

A

`(5)/(sqrt2)`

B

`(3)/(sqrt2)`

C

`(7)/(sqrt2)`

D

`(1)/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Component of `vec(A)` along `vec(B)= (vec(A).vec(B))/(|vec(B)|)`
`rArr ((2hat(i) + 3hat(j)).(hat(i) + hat(j)))/(sqrt(1^(2) + 1^(2)))= (2+3)/(sqrt2)= (5)/(sqrt2)`
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