If the vectors AB → = 3 i ^ + 4 k ^ and AC → = 5 i ^ - 2 j ^ + 4 k ^ are the sides of a triangle…

1. $\sqrt{33}$
2. $\sqrt{45}$
3. $\sqrt{18}$
4. $\sqrt{72}$

Solution

Length of median $=\left|\frac{\overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{AC}}}{2}\right|$

$=\left|\frac{8\widehat{\mathrm{i}}-2\widehat{\mathrm{j}}+8\widehat{\mathrm{k}}}{2}\right|$

$=\sqrt{33}$

Asked in: JEE Main 2013 (07 Apr)

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