A line through the points A(3, 4, 1) and B(5, 1, 6) is drawn.
Directions cosines of the line passing through the points A and B are :
Answer & explanation
Correct answer: option 2
Direction ratios of AB → $(5-3,1-4,6-1)$
$=(2,-3,5)$
Direction cosines $\left(\frac{2}{\sqrt{2^2+3^2+5^2}},\frac{-3}{\sqrt{2^2+3^2+5^2}},\frac{5}{\sqrt{2^2+3^2+5^2}}\right)$
$=\left(\frac{2}{\sqrt{38}},-\frac{3}{\sqrt{38}},\frac{5}{\sqrt{38}}\right)$