If `veca, vecb and vecc` are three non-zero, non-coplanar vectors,then find the linear relation between the following four vectors : `veca-2vecb+3vecc, 2veca-3vecb+4vecc, 3veca-4vecb+ 5vecc, 7veca-11vecb+15vecc`.

Explanation

To find the linear relation between the vectors \( \vec{a} - 2\vec{b} + 3\vec{c} \), \( 2\vec{a} - 3\vec{b} + 4\vec{c} \), \( 3\vec{a} - 4\vec{b} + 5\vec{c} \), and \( 7\vec{a} - 11\vec{b} + 15\vec{c} \), we will express the last vector as a linear combination of the first three vectors.

Let:
- \( \vec{v_1} = \vec{a} - 2\vec{b} + 3\vec{c} \)
- \( \vec{v_2} = 2\vec{a} - 3\vec{b} + 4\vec{c} \)
- \( \vec{v_3} = 3\vec{a} - 4\vec{b} + 5\vec{c} \)
- \( \vec{v_4} = 7\vec{a} - 11\vec{b} + 15\vec{c} \)

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