Q5 of 50 Page 220

How far apart are the points (2, 0, 0) and (–3, 0, 0)?

The points (2, 0, 0) and (–3, 0, 0) are at a distance of:-

|2 − (−3)| = 5 units.


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3

Let A, B, C be the feet of perpendiculars from a point P on the x, y, z-axis respectively. Find the coordinates of A, B and C in each of the following where the point P is :

(i) A = (3, 4, 2) (ii) (–5, 3, 7) (iii) (4, – 3, – 5)

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Let A, B, C be the feet of perpendiculars from a point P on the xy, yz and zxplanes respectively. Find the coordinates of A, B, C in each of the following where the point P is

(i) (3, 4, 5) (ii) (–5, 3, 7) (iii) (4, – 3, – 5).

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Find the distance from the origin to (6, 6, 7).

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Show that if x2 + y2 = 1, then the point is at a distance 1 unit from the origin.