Related InterviewSolutions

• Find the distance from the origin to (6,6,7).
• Find the ratio in which the line segment joining the points `(4, 8, 10)`and `(6, 10 , -8)`is divided by the YZplane.
• Show that the points `A (1, 2, 3)`, `B (1, 2, 1)`, `C (2, 3, 2)`and `D (4, 7, 6)`are the vertices of a parallelogram ABCD, but it is not a rectangle.
• Show that , if `x^(2)+y^(2)=1`, then the point ` (x,y,sqrt(1-x^(2)-y^(2)))` is at is distance 1 unit form the origin.
• Find the coordinates of the point which divides the line segment joining the points `( 2, 3, 5)`and `(1, 4, 6)`in the ratio (i) `2 : 3`internally, (ii) `2 : 3`externally.
• Name the octant in which each of the following points lie. (i)(1,2,3), (ii) (4,-2,3) (4,-2,-5), (iv)(4,2,-5), (v)(-4,2,5), (iv)(-3,-1,6), (vii)(2,-4,-7), (viii),(-4,2,-5)
• A point R with xcoordinate 4 lies on the line segment joining the points `P (2, 3, 4)`and `Q (8, 0, 10)`. Find the coordinates of the point R.
• Find the coordinates of the points which trisectthe line segment `A B ,`given that `A(2,1,-3)n d B(5,-8,3)dot`
• The centroid of a triangle ABC is at the point `(1, 1, 1)`. If the coordinates of A and B are `(3, 5, 7)`and `(1, 7, 6)`, respectively, find the coordinates of the point C.
• Show that the point A (1,-1,3), B ( 2,-4,5) and C ( 5,-13,11) are collinear.