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The direction cosines of the ray P(1, -2, 4) to Q(-1, 1, -2) are

  1. <-2, 3, -6>
  2. <2, -3, 6>

Answer (Detailed Solution Below)

Option 4 :
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Detailed Solution

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Concept:

Let  be a vector with co-ordinates (x, y, z).

Then the direction cosines of vector  are given by

Calculation:

The co-ordinates of the vector  is (-2, 3, -6).

Here x = -2, y = 3, z = -6.

√(x2 + y2 + z2) = √(4 + 9 + 36) = 7

∴ The direction cosines of the vector  are:

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