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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Find the value of p, for which the vectors veca = 3hati + 2hatj + 9hatk and vecb = hati + phatj + 3hatk are perpendicular to each other. - Mathematics and Statistics

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प्रश्न

Find the value of p, for which the vectors `veca = 3hati + 2hatj + 9hatk` and `vecb = hati + phatj + 3hatk` are perpendicular to each other.

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उत्तर

`veca * vecb = 0`

`(3hati + 2hatj + 9hatk) * (hati + phatj + 3hatk) = 0`

3 + 2p + 27 = 0

2p = –30

p = –15

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2025-2026 (March) Board Question Paper
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