Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6).

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Direction Cosines of a Line Joining Two Points | PadhAiPro

Question

TextDirection Cosines of a Line Joining Two Points

The direction cosines of vector BA, where coordinates of A and B are (1, 2, −1) and (3, 4, 0) respectively, are :

The equation of a line is 5x-3 = 15y+7 = 3-10z. Write the direction cosines of the line.

Direction Ratios of a Line

Direction Cosines of a Line Joining Two Points

Find the direction cosines of the line passing through the two points (– 2, 4, – 5) and (1, 2, 3).

Find the direction cosines of the sides of the triangle whose vertices are (3, 5, – 4), (– 1, 1, 2) and (– 5, – 5, – 2).

Show that the line through the points (4, 7, 8), (2, 3, 4) is parallel to the line through the points (– 1, – 2, 1), (1, 2, 5).