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प्रश्न
The vector having initial and terminal points as (2, 5, 0) and (–3, 7, 4), respectively is ______.
पर्याय
`-hat"i" + 12hat"j" + 4hat"k"`
`5hat"i" + 2hat"j" - 4hat"k"`
`-5hat"i" + 2hat"j" + 4hat"k"`
`hat"i" + hat"j" + hat"k"`
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उत्तर
The vector having initial and terminal points as (2, 5, 0) and (–3, 7, 4), respectively is `-5hat"i" + 2hat"j" + 4hat"k"`.
Explanation:
Let A and B be two points whose coordinates are given as (2, 5, 0) and (– 3, 7, 4)
∴ `vec"AB" = (-3 - 2)hat"i" + (7 - 5)hat"j" + (4 - 0)hat"k"`
⇒ `vec"AB" = -5hat"i" + 2hat"j" + 4hat"k"`
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