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Section Formula

Find the dist...

Question

Find the distance between the points A and B with position vectors $ˆ i - ˆ j$ and $2 ˆ i + ˆ j + 2 ˆ k$ .

2

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3

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5

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7

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Solution

The correct option is B $3$
$- - \to A B$ = Position vector of B - Position vector of A
$- - \to A B = (2 ˆ i + ˆ j + 2 ˆ k) - (ˆ i - ˆ j + 0 ˆ k)$
$- - \to A B = ˆ i + 2 ˆ j + 2 ˆ k$
Therefore, $A B = | - - \to A B | = \sqrt{1 + 4 + 4} = 3$

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