The equations of the lines 1 and l, are r = 2| 2 | and r = µ 3 respectively, where 1, µER. -2 The point P(18, 27, 54) lies on the line 1,. (i) Find the position vector of the foot of perpendicular from P to the line l. (ii) Given that the line 1, is the reflection of the line 1, about a third line, l3, find one possible vector equation of the line 13. -4 1 OF = 8- ,r=Dk 8. -32

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Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.