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Statement -1 : If a transversal cuts t...

Statement -1 : If a transversal cuts the sides OL, OM and diagonal ON of a parallelogram at A, B, C respectively, then
`(OL)/(OA) + (OM)/(OB) =(ON)/(OC)`
Statement -2 : Three points with position vectors ` veca , vec b , vec c ` are collinear iff there exist scalars x, y, z not all zero such that `x vec a + y vec b +z vec c = vec 0, " where " x +y + z=0.`

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To solve the problem, we will analyze both statements step by step. ### Step 1: Understanding Statement 1 We need to prove that if a transversal cuts the sides OL, OM, and diagonal ON of a parallelogram at points A, B, and C respectively, then: \[ \frac{OL}{OA} + \frac{OM}{OB} = \frac{ON}{OC} \] ...
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