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प्रश्न
The vector equation of a line which passes through the point (3, 4, –7) and (1, –1, 6) is ______.
रिक्त स्थान भरें
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उत्तर
The vector equation of a line which passes through the point (3, 4, –7) and (1, –1, 6) is `underlinebb(vecr = 3hati + 4hatj - 7hatk + λ(-2hati - 5hatj + 13hatk))`.
Explanation:
Required vector equation
`vecr = 3hati + 4hatj - 7hatk + λ[hati - hatj + 6hatk - 3hati - 4hatj + 7hatk]`
∴ `vecr = 3hati + 4hatj - 7hatk + λ(-2hati - 5hatj + 13hatk)`
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