If `vec(a) ,vec(b), vec(c)` are mutually perpendicular vector and `vec(a) = alpha (vec(a) xx vec(b)) + beta (vec(b)

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Q 2243267143.     If `vec(a) ,vec(b), vec(c)` are mutually perpendicular vector and

`vec(a) = alpha (vec(a) xx vec(b)) + beta (vec(b) xx vec(c)) + gamma (vec(c) xx vec(a))` and `[ vec(a)vec(b)vec(c)]=1`,then

`alpha + beta + gamma = | vec(a) |^2`

A True
B False

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(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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