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If |𝑎⃗| = 3 and −1 ≤ 𝑘 ≤ 2, then |𝑘𝑎⃗| lies in the interval (a) [0,6] (b) [−3,6] (c) [3,6] (d) [1,2] Asked by mohdtayyab682 | 18 Jan, 2023, 10:34: PM Expert Answer
If , then or Let if k = -1   , then ;
if k = 0   , then ;
if k = 1   , then ;
if k = 2   , then -----------------------------------------

Let if k = -1   , then ;
if k = 0   , then ;
if k = 1   , then ;
if k = 2   , then ------------------------------------

Hence lies in the interval ( 0, 6 )

Answered by Thiyagarajan K | 19 Jan, 2023, 07:59: AM

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