if A is (2,-1,4) B(3,2,5) and C(5,8,7) show that the vectors AB and AC are collinear
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Answer:
Hence proved
Step-by-step explanation:
AB = √{(3-2)² +(2+1)² +(5-4)² = √11
BC = √{(5-3)² +(8-2)² +(7-5)² = 2√11
AC = √{(5-2)² +(8+1)² +(7-4)² = 3√11
since AC = -CA
therefore CA = -3√11
since
CA = -3 AB = -2 BC
therefore a b and c are collinear
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