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(A) find the direction-cosines of the li...

(A) find the direction-cosines of the lines joining the points :
(-1, -1, -1) and (2,3,4)
(b) Find the direction ratios and direction cosines of the vector joining the points (4,7,2) and (5,11,-4).
(c ) Find the direction cosines of a line segment joining the points A (2,5,7) and B (3,2,9) .

Text Solution

Verified by Experts

The correct Answer is:
(a) `(3)/(5 sqrt(2)) , (4)/(5 sqrt(2)), (5)/(5 sqrt(2)) gt `
(b) `lt 1,4, -6 gt, : lt (1)/(sqrt(53)), (4)/(sqrt(53)) gt`
(c) ` lt (1)/(sqrt(14)), (-3)/(sqrt(14)), (2)/(sqrt(14)) gt ` .
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