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प्रश्न
If `|vec"a"|` = 3 and –1 ≤ k ≤ 2, then `|"k"vec"a"|` lies in the interval ______.
विकल्प
[0, 6]
[– 3, 6]
[3, 6]
[1, 2]
उत्तर
If `|vec"a"|` = 3 and –1 ≤ k ≤ 2, then `|"k"vec"a"|` lies in the interval [0, 6].
Explanation:
The smallest value of `|"k"vec"a"|` will exist at numerically smallest value of k
i.e., at k = 0
Which gives `|"k"vec"a"| = |"k"||vec"a"|`
= 0 × 3
= 0
The numerically greatest value of k is 2 at which `|"k"vec"a"|` = 6.
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