What is the angle between the two lines having direction ratios (6, 3, 6) and (3, 3, 0)?

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NDA (Held On: 18 Apr 2021) Maths Previous Year paper
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Answer (Detailed Solution Below)

Option 2 :
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Detailed Solution

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CONCEPT:

The angle θ between two lines whose direction ratios are proportional to a1, b1, c1 and a2, b2, c2 respectively is given by: 

CALCULATION:

Here, we have to find the angle between the two lines having direction ratios (6, 3, 6) and (3, 3, 0).

Here, a1 = 6, b1 = 3, c1 = 6, a2 = 3, b2 = 3 and c2 = 0

As we know that, if θ is the angle between two lines having direction ratios proportional to a1, b1, c1 and a2, b2, c2 is given by: 

⇒ 

⇒ 

⇒ θ = π/4

Hence, correct option is 2.

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