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If A (1, 2, -3) and B (-1, -2, 1) are two given points in space then find the direction ratios of  ?

  1. 2, 4, 4
  2. -2, 4, 4
  3. 2, -4, 4
  4. -2, -4, 4

Answer (Detailed Solution Below)

Option 4 : -2, -4, 4
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Detailed Solution

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Concept:

  • If A (x, y, z) and B (p, q, r) are two points in a space then the vector 
  • If  is a vector then direction ratios of vector  are the numbers a1, a2, a3

Calculation:

Given: A (1, 2, - 3) and B (- 1, - 2, 1) are two points in a space.

As we know that, If A (x, y, z) and B (p, q, r) are two points in a space then the vector 

As we know that, if  is a vector then direction ratios of vector  are the numbers a1, a2, a3

∴ The direction ratios of the vector  are - 2, - 4, 4

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