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If the vectors `2hati-3hatj+4hatk and hati+2hatj-hatk and m hati - hatj+2hatk` are coplanar, then the value of m is

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If the vectors `2hati-3hatj+4hatk and hati+2hatj-hatk and m hati - hatj+2hatk` are coplanar, then the value of m is
A. `(5)/(8)`
B. `(8)/(5)`
C. `-(7)/(4)`
D. `(2)/(3)`
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Correct Answer - B
Given vectors will be coplanar, if `|(2, -3, 4),(1,2,-1),(m,-1,2)|=0`
`implies 2(4-1)+3(2 +m) +4(-1-2m)=0`
`implies m=8/5`
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