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Sequences And Series

Question

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Show that point A (5, 4, 2), B (-1, -2, 4) and $straight C space open parentheses 13 over 5 comma space 8 over 5 comma space 14 over 5 close parentheses$ are collinear. Find also the ratio in which C divides the join of A and B.

Solution

Solution not provided.
Ans. 2:3

Some More Questions From Sequences and Series Chapter

The co-ordinates of a point A are (2, -3, 6). Write down the co-ordinates of seven points whose absolute values are the same as those of the co-ordinates of the given point.

Find the octant in which the following points lie:
A (-3,1, 2), B (-3, 1, -2), C (-3, -1,-2), D (3, -1, -2) and E (3,1, 2).

A point lies on the x-axis at a distance of 5 units towards OX'. What are its co-ordinates?

A point lies on z-axis at a distance of 3 units in the direction OZ. Write its co-ordinates.

A point lies on y-axis and is at a distance of 4 units in the direction OY'. Write its co-ordinates.

A point lies on XY-plane with distances 4 units along OX and 3 units along OY. Write its co-ordinates.

A point lies on YZ-plane with distances 4 units along OY and 5 units along OZ'. Write its co-ordinates.

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