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

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Direction Cosines of a Line Joining Two Points | PadhAiPro

Question

TextDirection Cosines of a Line Joining Two Points

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

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

TextDirection Cosines of a Line Joining Two Points

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).

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).

The direction cosines of the line passing through the points P(2, 3, 5) and Q(-1, 2, 4) are:

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