Find the direction cosines of a line segment whose direction ratios are: (i) 2. – 6, 3 (ii) 2, - 1, - 2, (iii) – 9, 6, -2

Question

Philoid · Accepted Answer

(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:-