If |a→|=4 and −3≤λ≤2 then the range of |λa→| is

Here, −3≤λ≤2. So, 0≤|λ|≤3Now, 0≤4|λ|≤12 Hence, |λa→|∈[0,12]

If |a→|=4 and −3≤λ≤2 then the range of |λa→| is

Here, −3≤λ≤2. So, 0≤|λ|≤3Now, 0≤4|λ|≤12 Hence, |λa→|∈[0,12]

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If $| \vec{a} | = 4$ and $- 3 \leq λ \leq 2$ then the range of $| λ \vec{a} |$ is

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$[0, 8]$

$[- 12, 8]$

$[0, 12]$

$[8, 12]$

answer is C.

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Detailed Solution

Here, $- 3 \leq λ \leq 2 . So, 0 \leq | λ | \leq 3$

Now, $0 \leq 4 | λ | \leq 12$ Hence, $| λ \vec{a} | \in [0, 12]$

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If |a→|=4 and −3≤λ≤2 then the range of |λa→| is

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If $| \vec{a} | = 4$ and $- 3 \leq λ \leq 2$ then the range of $| λ \vec{a} |$ is