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The vector parallel to 4hati-3hatj+5hatk...

The vector parallel to `4hati-3hatj+5hatk` and whose length is the arithmetic mean of lenghts of two vectors `2hati-4hatj+4hatk` and `hatj+sqrt(6)hatj+3hatk` is

A

`4hati-3hatj+5hatk`

B

`(4hati-3hatj+5hatk)//sqrt(3)`

C

`(4hati-3hatj+5hatk)//sqrt(2)`

D

`(4hati-3hatj+5hatk)//sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
`K=(|vecB|+|vecC|)/(2)` and `vecD=K(|vecA|)/(|vecA|)`
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