The points A and B have coordinates (1, – 1, 2) and (3, 1, 1) respectively. Find a vector equation for the line 4 passing through A and B. The point C has coordinates (3, –16, 3). Find (i) the foot of perpendicular from C to 4, (ii) the shortest distance from C to 1. The line 1, passes through the points A and C and the line l, is the reflection of l, in 1, . Find a vector equation of l, .

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.