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प्रश्न
Find the projection of vector `(overset->b + overset-> c)` on vector `overset->a`, where `overset->a = 2hat i + 2 hatj + hat k, overset->b = hat i + 3hatj + hatk and overset-> c = hat i + hat k`.
योग
उत्तर
`vecb + vec c = hat i + 3 hat j + hatk + hat i + hat k = 2hati + 3 hat j + 2hat k`
Projection of `(vecb + vecc) "on" veca = ((vecb + vecc).veca)/(|veca|)`
= `((2hati + 3 hat j + 2hatk).(2hat i + 2hat j + hatk))/(sqrt(4 + 4 + 1))`
= `(4 + 6 + 2)/(3)`
= `12/3`
= 4
Therefore, Projection of `(vecb + vecc)` on `veca = 4`
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