Q1 of 18 Page 1103

Find the direction cosines of a line segment whose direction ratios are:

(i) 2. – 6, 3


(ii) 2, - 1, - 2,


(iii) – 9, 6, -2


(i) direction ratios are:- (2, -6, 3)


So, the direction cosines are- (l, m, n), where, ,


So, l, m, and n are:-






The direction cosines are:-


(ii) direction ratios are:- (2, -1, -2)


So, the direction cosines are:- (l, m, n), where, ,


So, l, m, and n are:-






The direction cosines are:-


(iii) direction ratios are:- (-9, 6, -2)


So, the direction cosines are- (l, m, n), where, ,


So, l, m, and n are:-






The direction cosines are:-


More from this chapter

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2

Find the direction ratios and the direction cosines of the line segment joining the points:

(i) A (1, 0, 0) and B(0, 1, 1)


(ii) A(5, 6, -3) and B (1, -6, 3)


(iii) A (-5, 7, -9) and B (-3, 4, -6)


 3

Show that the line joining the points A(1,-1, 2) and B(3, 4, -2) is perpendicular to the line joining the points C(0, 3, 2) and D (3, 5, 6).

 4

Show that the line segment joining the origin to the point A(2, 1, 1) is perpendicular to the line segment joining the points B(3, 5, -1) and C(4,3, -1).

 5

Find the value of p for which the line through the points A(3, 5, -1) and B(5, p, 0) 9 is perpendicular to the line through the points C(2, 1, 1) and D (3, 3, -1).