Find the vector which joins the point A $(4, 5, 6)$ to B $(10, 11, 12)$ .

14^i + 16^j + 18^k

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- 6^i - 6^j - 6^k

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6^i + 6^j + 6^k

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None of these

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Solution

The correct option is A $6^i + 6^j + 6^k$
Given points
$A (4, 5, 6)$ and $B (10, 11, 12)$
$\to O A = 4^i + 5^j + 6^k$
$\to O B = 10^i + 11^j + 12^k$
vector
$\to A B = \to O B - \to O A$
$\to A B = 10^i + 11^j + 12^k - (4^i + 5^j + 6^k)$
$\to A B = 10^i + 11^j + 12^k - 4^i - 5^j - 6^k$
$\to A B = 6^i + 6^j + 6^k$

Suggest Corrections

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