VectorVery Hard
Question
Let a, b, c , be distinct non- negative numbers . If the vectors 
and 
lie in a plane, then c is
and lie in a plane, then c isOptions
A.the Arithmetic Mean of a and b
B.the Geometric Mean of a and b
C.thr Harmonic Mean of a and b
D.equal to zero
Solution
Since, three vectors are coplanar.
Applying C1 → C1 - C2
⇒
⇒ -1(ab - c2) = 0 ⇒ ab = c2
Applying C1 → C1 - C2
⇒
⇒ -1(ab - c2) = 0 ⇒ ab = c2
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