Vectors a, b, c are such that every pair is non-collinear and the vector a + b is collinear with c and vector (b + c) is collinear with a. The resultant of a, b and c is
Vectors a, b, c are such that every pair is non-collinear and the vector a + b is collinear with c and vector (b + c) is collinear with a. The resultant of a, b and c is
Option 1 -
0
Option 2 -
2a
Option 3 -
3c
Option 4 -
2a
Asked by Shiksha User
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1 Answer
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Correct Option - 1
Detailed Solution:? + b? = λ? c? (i)
b? + c? = λ? (ii)
Form (i) – (ii),
? – c? = λ? c? – λ?
(1 + λ? )? = (1 + λ? )c?
? ? and c? are non – collinear
⇒ 1 + λ? = 0, 1 + λ? = 0
λ? = λ? = -1
⇒? + b? + c? = 0
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