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If vec(a) = 2 hat(i) + 4hat(j) = hat(k) ...

If `vec(a) = 2 hat(i) + 4hat(j) = hat(k) ` and `vec(b) = 3 hat(i) - 2hat(j) - lambda hat(k)` such that they are perpendicular to each other , then the value of `lambda ` will be :

A

2

B

`-2`

C

3

D

`-3`

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If the vectors given by vec(A) = hat(i) + 2hat(j) + 2hat(k) and vec(B) = hat(i) - hat(j) + n hat(k) are prerpendicular to each other find the value of n .

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Knowledge Check

  • If the planes overset(to)( r) (2 hat(i) - lambda (j) + 3 hat(k) ) = 0 and overset(to)( r) ( lambda (i) + 5 hat(j) - hat(k) )=5 are perpendicular to each other, then the value of lambda is

    A
    `0`
    B
    `-2`
    C
    `-1`
    D
    `2`

  • If vec(a) = hat(i) - 2 hat(j) + 3 hat(k) and vec(b) = 2 hat(i) - 3 hat(j) + 5 hat(k) , then angle between vec(a) and vec(b) is

    A
    `(pi)/(2)`
    B
    `(pi)/(2)`
    C
    `(pi)/(6)`
    D
    `pi`

  • If vec(a)= 3hat(i) + hat(j) + 2hat(k) and vec(b)= 2hat(i)-2hat(j) + 4hat(k) , then the magnitude of vec(b) xx vec(a) is

    A
    8
    B
    `-8`
    C
    `8sqrt3`
    D
    None of these

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