Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Find value of x ∈ R for which the vectors 
= (1, –2, 3), 
= (–2, 3, – 4), 
= (1, – 1, x) form a linearly dependent system.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
x = 1
Sol. For linearly dependent vectors
(i – 2j + 3k) + m(– 2i + 3j – 4k) + n(i – j + xk) = 0 ⇒ – 2m + n = 0, – 2 + 3m – n = 0
3 – 4m + nx = 0 ∴ 
= 0 is x = 1
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