Practicing Success
The angle between the lines whose direction ratios are proportional to 1, 1, 2 and $\sqrt{3}-1, - \sqrt{3}-1, 4,$ is |
45° 30° 60° 90° |
45° |
Let $\theta $ be the angle between the given lines. Then, $ cos \theta = \frac{1× (\sqrt{3}-1)+1×(-\sqrt{3}-1)+2×4}{\sqrt{1+1+4}\sqrt{(\sqrt{3}-1)^2+(-\sqrt{3}-1)^2+4}}=\frac{1}{\sqrt{2}}$ $cos \theta = 45°$ |