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The unit vector in the direction of the ...

The unit vector in the direction of the sum of vectors `hat i + hat j + hat k` and `2 hat i + 3 hat j + 4 hat k` is

A

`(1)/(5sqrt2)(3 hat i + 4 hat j + 5 hat k)`

B

`(1)/(5 sqrt2)(3 hat i - 4 hat j - 5 hat k)`

C

`(1)/(2 sqrt2)(4 hat i + 3 hat j + 5 hat k)`

D

`(1)/(3sqrt2(-3 hat k + 4 hat i + 5 hat j)`

Text Solution

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The correct Answer is:
A
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  13. vec a .(vec b + vec c) is equal to

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  14. If vec a = hat i + 2 hat j - 3 hat k and vec b = 3 hat i - hat j + 2 h...

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  15. If vec a and vec b are non - zero vectors and |vec a+ vec b| = |vec a ...

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  16. The projection of the vector hat i + hat j + hat k along the vector ha...

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  17. A unit vector perpendicular to the vectors veca = 2 hat i - 6 hat j - ...

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  18. The number of vectors of unit length perpendicular to the vectors vec ...

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