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Check whether the given three vectors ar...

Check whether the given three vectors are coplnar or non- coplanar :
`-2hati -2 hatj + 4hatk, -2hati + 4hatj -2hatk, 4hati - 2hatj - 2hatk`.

Text Solution

AI Generated Solution

To determine whether the given vectors are coplanar or non-coplanar, we can use the scalar triple product method. The three vectors given are: 1. **Vector A**: \(-2\hat{i} - 2\hat{j} + 4\hat{k}\) 2. **Vector B**: \(-2\hat{i} + 4\hat{j} - 2\hat{k}\) 3. **Vector C**: \(4\hat{i} - 2\hat{j} - 2\hat{k}\) ### Step 1: Form the matrix with the vectors ...
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Knowledge Check

  • The number of vectors of units length perpendicular to both the vectors hati +2hatj - hatk and 2hati + 4hatj -2hatk is

    A
    2
    B
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    C
    infinitely many
    D
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