Question

Projection of vector `2hati + 3hatj` on the vector `3hati - 2hatj` is ______.

विकल्प

• 0

• 12

• `12/sqrt(13)`

• `(-12)/sqrt(13)`

Answer 1

Projection of vector `2hati + 3hatj` on the vector `3hati - 2hatj` is 0.

Explanation:

Projection of `veca` and `vecb = (veca.vecb)/|vecb|`

Here, `veca = 2hati + 3hatj, vecb = 3hati - 2hatj`

∴ Required projection

= `((2hati + 3hatj).(3hati - 2hatj))/sqrt(3^2 + (-2)^2` 

= `(6 - 6)/sqrt(9 + 4)`

= `0/sqrt(13)`

= 0.