A unit vector perpendicular to 3i + j +...

A unit vector perpendicular to 3i + j +2 k and 2i-j + k is

A

`(3i-j-5k)/(sqrt(35))`

B

`(3i+j-5k)/(sqrt(35))`

C

`(-3i+j+5k)/(sqrt(35))`

D

`(3i+j+5k)/(sqrt(35))`

Text Solution

Verified by Experts

The correct Answer is:

B

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Knowledge Check

A unit vector perpendicular to both i+j and j+k is

A

i-j+k

B

i+j+k

C

`(i+j+k)/sqrt3`

D

`(i-j+k)/sqrt3`

If vec a = -i +j +k, vec b = i-j+k , then a unit vector perpendicular to vec a and vec b is

A

k

B

`1/sqrt2 (i+j)`

C

`1/sqrt (j+k)`

D

`1/sqrt 2(i-j)`

A unit vector perpendicular to the plane of vec a = 2i-6j-3k and vec b = 4i+3j-k is

A

`1/sqrt26(4i+3j-k)`

B

`1/7(2i-6j-3k)`

C

`1/7(3i-2j+6k)`

D

`1/7 (2i-3j-6k)`

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Given vec a = i+j-k, vec b = -i+2j+k and vec c = -i+2j-k , a unit vector perpendicular to both vec a + vec b and vec b + vec c is

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