The position vectors of the vertices A,B,andC of a triangle are i^+j^,j^+k^andi^+k^ , respectively. Find the unite vector r^ lying in the plane of ABC and perpendicular to IA,whereI is the incentre of the triangle.

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The position vectors of the vertices {A},{B},{a}{n}{d}{C} of a

Question

The position vectors of the vertices $A, B, a n d C$ of a triangle are $\hat{i} + \hat{j}, \hat{j} + \hat{k} a n d \hat{i} + \hat{k}$ , respectively. Find the unite vector $\overset{r}{^}$ lying in the plane of $A B C$ and perpendicular to $I A, w h e r e I$ is the incentre of the triangle.

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The position vectors of the vertices

A, B, a n d C

of a triangle are

\hat{i} + \hat{j}, \hat{j} + \hat{k} a n d \hat{i} + \hat{k}

, respectively. Find the unite vector

\overset{r}{^}

lying in the plane of

A B C

and perpendicular to

I A, w h e r e I

is the incentre of the triangle.

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