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प्रश्न
The projection of vector `vec"a" = 2hat"i" - hat"j" + hat"k"` along `vec"b" = hat"i" + 2hat"j" + 2hat"k"` is ______.
विकल्प
`2/3`
`1/3`
2
`sqrt(6)`
उत्तर
The projection of vector `vec"a" = 2hat"i" - hat"j" + hat"k"` along `vec"b" = hat"i" + 2hat"j" + 2hat"k"` is `2/3`.
Explanation:
Projection of a vector `vec"a"` on `vec"b"` is
`(vec"a"*vec"b")/|vec"b"| = ((2hat"i" - hat"j" + hat"k")*(hat"i" + 2hat"j" + 2hat"k"))/sqrt(1 + 4 + 4)`
= `2/3`.
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