Find a vector in the direction of ` vec a=2 hat i- hat j+2 hat k ,` which has magnitude of 6 units.

Explanation

A unit vector in the direction of ` vec a=2 hat i- hat j+2 hat k` is,

`vec r=veca /|vec a|`

`={2 hat i- hat j+2 hat k}/sqrt{2^2+(-1)^2+2^2}`

`={2 hat i- hat j+2 hat k}/3`

A vector in the direction of ` vec a=2 hat i- hat j+2 hat k `
which has magnitude of 6 units, is

`=6vecr`

`=6xx{2 hat i- hat j+2 hat k}/3`

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