2. The position vectors of the points A, B,C,D with respect to the origin 0 are a, b, c, d respectively, where b = i – 3j + 5k, c = i+j– 4k, d = 2i – j+ 3k. a = 7i + 2j + k, Find: a. The Cartesian equation of the plane ABC. b. The Cartesian equation of the plane BCD. c. The cosine of the acute angle between the planes ABC and BCD. d. The area of the triangle BCD. e. The volume of the tetrahedron ABCD.

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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.