jee-main 2013 Q87

jee-main · India · 07apr Vectors Introduction & 2D Magnitude of Vector Expression

If the vectors $\overrightarrow{AB} = 3\hat{i} + 4\hat{k}$ and $\overrightarrow{AC} = 5\hat{i} - 2\hat{j} + 4\hat{k}$ are the sides of a triangle $ABC$, then the length of the median through $A$ is:
(1) $\sqrt{33}$
(2) $\sqrt{45}$
(3) $\sqrt{18}$
(4) $\sqrt{72}$

If the vectors $\overrightarrow{AB} = 3\hat{i} + 4\hat{k}$ and $\overrightarrow{AC} = 5\hat{i} - 2\hat{j} + 4\hat{k}$ are the sides of a triangle $ABC$, then the length of the median through $A$ is:\\
(1) $\sqrt{33}$\\
(2) $\sqrt{45}$\\
(3) $\sqrt{18}$\\
(4) $\sqrt{72}$

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