Q3 of 50 Page 220

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)

(i) (3, 4, 2) :- A(3,0,0), B(0,4,0), C(0,0,2)


(ii) (–5, 3, 7) :- A(−5,0,0), B(0,3,0), C(0,0,7)


(iii) (4, – 3, – 5) :- A(4,0,0), B(0,−3,0), C(0,0,−5)


More from this chapter

All 50 →
1

Locate the following points:

(i) (1, – 1, 3), (ii) (– 1, 2, 4)


(iii) (– 2, – 4, –7) (iv) (– 4, 2, – 5).

 2

Name the octant in which each of the following points lies.

(i) (1, 2, 3), (ii) (4, – 2, 3), (iii) (4, –2, –5) (iv) (4, 2, –5)


(v) (– 4, 2, 5) (vi) (–3, –1, 6) (vii) (2, – 4, – 7) (viii) (– 4, 2, – 5).

 4

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).

 5

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