Book Maths Puzzle Algebra

how to prove that : the four points p1, p2, p3, p4 of R3 belong to the same plain in R3 if and only if the vectors p2-p1, p3-p1, and p4-p1 are linearly dependent?

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Book Other Question

what is the graph form of x square+3-10 The sum of two numbers if twice their diference. The larger number is 6 more than twice the smaller. Find the numbers.