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The component of vector vecA = 2hati + 3...

The component of vector `vecA = 2hati + 3 hatj` along the direction of `(hati - hatj)` is

A

`(1)/(sqrt(2))`

B

`-(1)/(sqrt(2))`

C

`(1)/(2)`

D

`-(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Given : `vecA = 2hati + 3hatj , vecB = hati - hatj` (say)
Component of `vecA` along the direction of `vecB`
`= (vecA*vecB)/(B) = ((2hati + 3hatj)*(hati -hatj))/(sqrt(2)) = - (1)/(sqrt(2))`
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