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If the vectors a+ lambda b+3c, -2a+3b-4c and a-3b+5c are coplanar, then the value of lambda is |
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Answer» 2 `a+lamda b+3c=x(-2a+3b-4c)+y(a-3b+5c)` On COMPARING the coefficient of a, b ANC C on both sides, we get `-2x+y=1, 3x=lamda` and `-4x+5y=3` On sloving FIRST and third equations, we get `x=-1/3, y=1/3` Since, the vectors are coplanar, therefore these values of x and y, also satisty the second equation i.e., `-1-1=lamda` `:.""lamda=-2` |
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