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Question
The scalar projection of the vector `3hati - hatj - 2hatk` on the vector `hati + 2hatj - 3hatk` is ______.
Options
`7/sqrt(14)`
`7/14`
`6/13`
`7/2`
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Solution
The scalar projection of the vector `3hati - hatj - 2hatk` on the vector `hati + 2hatj - 3hatk` is `underline(bb(7/sqrt(14))`.
Explanation:
Scalar Projection of `3hati - hatj - 2hatk` on vector `hati + 2hatj - 3hatk`
= `((3hati - hatj - 2hatk).(hati + 2hatj - 3hatk))/(|hati + 2hatj - 3hatk|)`
= `7/sqrt(14)`
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