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Find the angle between the lines whose direction ratios are (1, 2, - 2) and (0, 3, -4) ?

  4. None of these

Answer (Detailed Solution Below)

Option 3 :
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Detailed Solution

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CONCEPT:

The angle between the lines with direction ratios  and  is given by: 

CALCULATION:
 
Given: The direction ratios of two lines are (1, 2, - 2) and (0, 3, - 4)
 
As we know that, the angle between the lines with direction ratios  and  is given by: 
 
Here, a1 = 1, b1 = 2, c1 = - 2, a2 = 0, b2 = 3 and c2 = -4
 
⇒ 
 
⇒ 
 
Hence, option C is the correct answer.

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