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Let veca = hati + hatj + hatk and let ve...

Let `veca = hati + hatj + hatk` and let `vecr` be a variable vector such that `vecr.hati, vecr.hatj` and `vecr.hatk` are posititve integers. If `vecr.veca le 12`, then the total number of such vectors is:

A

`^12C_3`

B

`^13C_4`

C

`^13C_9`

D

`^11C_8+^11C_9`

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The correct Answer is:
A, D
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