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If veca = 2 hat i + 3 hat j - hat k , ve...

If `veca = 2 hat i + 3 hat j - hat k , vec b = hat i + 2 hat j - 5 hat k, vec c= hat 3i + 5 hatj = hat k`, then a vector perpendicular to `vec a` and in the plane containing `vec b` and `vec c` is

A

`-17 hat i + 21 hat j - 97 hat k`

B

`17 hat i + 21 hat j - 123 hat k`

C

`-17 hat i - 21 hat j + 97 hat k`

D

`-17 hat i - 21 hat j - 97 hat k`

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The correct Answer is:
D
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Knowledge Check

  • if vec a= 2 hat i+ lambda hat j+ hat k and vec b= hat i+ 2 hat j+ 3 hat k are orthogonal then the value of lambda

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    `(3)/(2)`
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    C
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    D
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    A
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    let vec a = 2hat i +3hat j and vec b = hat i +4hat j then find projection of vec a on vec b

    If vec(a) = 2hat(i) + 2hat(j) + 3hat(k), vec(b) = -hat(i) + 2hat(j) + hat(k) and vec(c )=3hat(i)+2hat(j) such that vec(a)+lambda vec(b) is perpendicular to vec(c) , then find the value of lambda .

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