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The vector, 2hat(i)+hat(j)+2hat(k),hat(i...

The vector, `2hat(i)+hat(j)+2hat(k),hat(i)+lambdahat(j)-hat(k)t" and "2hat(i)-lambdahat(k)` are co-planar if

A

`lambda=-2`

B

`lambda=1+sqrt(3)`

C

`lambda=1-sqrt(3)`

D

`lambda=-2,1pmsqrt(3)`

Text Solution

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The correct Answer is:
A, B, C, D
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Knowledge Check

  • If the vectors hat(i)+hat(j)+2hat(k),-hat(i)+2hat(k) and 2hat(i)+xhat(j)-yhat(k) are mutually orthogonal, then the values of x, y, z are

    A
    `(10,4,1)`
    B
    `(-10,4,1)`
    C
    `(-10,-4,(1)/(2))`
    D
    `(-10,4,(1)/(2))`
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