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Question
Projection of vector `2hati + 3hatj` on the vector `3hati - 2hatj` is ______.
Options
0
12
`12/sqrt(13)`
`(-12)/sqrt(13)`
Solution
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.
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