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If the position vector of the vertices o...

If the position vector of the vertices of a triangle are `hat(i)-hat(j)+2hat(k), 2hat(i)+hat(j)+hat(k)` & `3hat(i)-hat(j)+2hat(k)`, then find the area of the triangle.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(5)`

Area of triangle
`=1/2 |vec(A)xxvec(B)|=1/2 (4hat(k)+2hat(j))`
`vec(A)=(hat(j)+2hat(k))`
`|A|=sqrt(5) m^(2)`
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