The position vectors a-b-c- of three points satisfy the relation 2a-7b-5c-0- Are these points collinear-

2a⃗+7b⃗+5c⃗ = 0 ∴ 7b⃗ = 5c⃗ 2a⃗ ∴b⃗ = 5c⃗ 2a⃗7 ∴b⃗ = (5c⃗+2a⃗)7 Above indicates #160; b⃗ divides c⃗ and a⃗ internally ...

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The position vectors $\to a, \to b, \to c$ of three points satisfy the relation $2 \to a + 7 \to b + 5 \to c = \to 0$ . Are these points collinear?

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