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Question: The position vectors of two points A and B are \(\mathbf{i} + \mathbf{j} - \mathbf{k}\) and \(2\math...

The position vectors of two points A and B are i+j−k\mathbf{i} + \mathbf{j} - \mathbf{k} and 2i−j+k2\mathbf{i} - \mathbf{j} + \mathbf{k} respectively. Then ∣AB→∣=|\overset{\rightarrow}{AB}| =

A

2

B

3

C

4

D

5

Answer

3

Explanation

Solution

AB→=i−2j+2k⇒∣AB→∣=3.\overset{\rightarrow}{AB} = \mathbf{i} - 2\mathbf{j} + 2\mathbf{k} \Rightarrow |\overset{\rightarrow}{AB}| = 3.