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Given vec(A) = 3hat(i) + 2hat(j) and vec...

Given `vec(A) = 3hat(i) + 2hat(j) and vec(B) = hat(i) + hat(j).` The component of vector `vec(A)` along vector `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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