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Determine where a¯ and b¯ are orthogonal, parallel or neither. a¯=-35i^+12j^+13k^, b¯=5i^+4j^+3k^

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प्रश्न

Determine where `bb(bara)` and `bb(barb)` are orthogonal, parallel or neither.

`bara = -3/5hati + 1/2hatj + 1/3hatk ,  barb = 5hati + 4hatj + 3hatk`

योग
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उत्तर

`bara . barb = (-3/5hati + 1/2hatj + 1/3hatk).(5hati + 4hatj + 3hatk)`

= `(-3/5)(5) + (1/2)(4) + (1/3)(3)`

= −3 + 2 + 1

= 0

Since, `bara, barb` are non-zero vectors and `bara.barb` = 0.

`bara` is orthogonal to `barb`.

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अध्याय 5: Vectors - Exercise 5.3 [पृष्ठ १६९]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
अध्याय 5 Vectors
Exercise 5.3 | Q 6. iii) | पृष्ठ १६९

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