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Sequences And Series

Question

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Show that the points A (-1, 2, 1), B (1, -2, 5), C (4, - 7, 8) and D (2, - 3, 4) form the vertices of a parallelogram.

Solution

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Some More Questions From Sequences and Series Chapter

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.

A point lies on ZX-plane with distances 3 units along OX' and 5 units along OZ'. Write its co-ordinates.

Find the perpendicular distance of point A (-3, 2, -4) from:
(a) ZX-plane (b)XY-plane (c) YZ-plane.

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