Direction ratios: $(4-1, 6-2, 3-3) = (3, 4, 0)$
$|DR| = \sqrt{9+16+0} = 5$
Direction cosines: $\frac{3}{5}, \frac{4}{5}, 0$
Verified 30 May 2026.
The direction cosines of the line joining points $(1,2,3)$ and $(4,6,3)$ are:
$\frac{3}{5}, \frac{4}{5}, 0$
$\frac{3}{5}, \frac{4}{5}, \frac{1}{5}$
$\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}, 0$
$\frac{1}{3}, \frac{2}{3}, 0$
Direction ratios: $(4-1, 6-2, 3-3) = (3, 4, 0)$
$|DR| = \sqrt{9+16+0} = 5$
Direction cosines: $\frac{3}{5}, \frac{4}{5}, 0$
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The volume of the parallelepiped formed by vectors a=i+2j-k, b=2i-j+3k, c=3i+j+2k is:
The position vectors of points A and B are 2i+3j+k and 4i+j-2k. The position vector of the midpoint of AB is:
The projection of vector a=2i-3j+6k on vector b=i+2j+2k is:
The image of the point (1,2,3) in the plane x+y+z=9 is:
The scalar triple product [i j k] is: