Name the octants in which the following points lie:(1,2,3),(4,-2,3),(4,-2,-5),(4,2,-5),(-4,2,-5),(-4,2,5),(-3,-1,6),(2,-4,-7).

Name the octant in which the points (3,-2,1) and (-5,-6,1) lie.

Find x such that the four points A(3,2,1)B(4,x,5),C(4,2,-2)and D(6,5-1)are coplanar.

Find the equation of the plane passing through the points (3,-1,2) , (5,2,4) ,(-1,-1,6)

Show that the points (2,3,4), (-1,-2,1), (5,8,7) are colinear

Find the distance between the points (2,3,5) and (4,3,1) .

Find the equation of the planes that pass through the points.. (1, 1, -1), (6, 4, -5), (-4, -2, 3)

Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not? i) R={(2,1),(3,1),(4,2)} ii) R={(2,2),(2,4),(3,3),(4,4)} iii) R={(1,2) ,(2,3),(3,4),(4,5),(5,6),(6,7)}

Write the following sets in Set builder form. C={1/2,2/3,3/4,4/5,5/6,6/7}

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)} ii) { (2,1,(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)} iii) {(0,0),(1,1),(1,-1),(4,2),(4,-2),(9,3)(9,-3),(16,-4), (16,-4)} iv) {(1, 2),(1,3),(2,5)} v) {(2,1),(3,1),(5,2)} vi) { (1,2),(2,2),(3,2)}

State with reason whether the following functions have inverse g : {5, 6, 7, 8} rarr {1, 2, 3, 4} with g = {(5, 4), (6, 3), (7, 4), (8, 2)}