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Section Formula

If the vector...

Question

If the vectors AB= $- 3^i + 4^k$ and AC= $5^i - 2^j + 4^k$ are the sides of a triangle ABC,then the length of median through the point A is

\sqrt{14}

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\sqrt{18}

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\sqrt{25}

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\sqrt{29}

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Solution

The correct option is B $\sqrt{18}$
If D is the midpoint of BC then $\to A D = \frac{1}{2} (\to A B + \to A C) =^i -^j + 4^k . A D = \sqrt{1 + 1 + 16} = \sqrt{18}$

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Similar questions

- 3^i + 4^k

5^i - 2^j + 4^k

- - \to A B = 3^i + 4^k

- - \to A C = 5^i - 2^j + 4^k

A B C

A

- - \to A B = 3^i + 4^k

- - \to A C = 5^i - 2^j + 4^k

A B = - 3^i + 4^k

A C = 5^i - 2^j + 4^k

A B C

A

A B = 3^i + 4^k

A C = 5^i - 2^j + 4^k

△ A B C

A

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