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Question
The projection of the vector `hati - hatj` on the vector `hati + hatj` is ______.
Fill in the Blanks
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Solution
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
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