Question

The projection of the vector `hati - hatj` on the vector `hati + hatj` is ______.

Answer 1

The projection of the vector `hati - hatj` on the vector `hati + hatj` is 0.

Explanation:

Let, `veca = hati - hatj, b = hati + hatj`

The projection of the vector `veca` on the vector `vecb`

= `(veca.vecb)/|vecb|`

= `(((hati - hatj).(hati + hatj))/sqrt((1)^2 + (1)^2 + (0)^2))`

= `0/1`

= 0