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Find the perpendicular distance of the p...

Find the perpendicular distance of the point `bar(c )` from the straight line `bar(r )= bar(a) + t bar(b)` and hence deduce that the area of the triangle whose vertices are the points `bar(a), bar(b) and bar(c )" is" (1)/(2)|bar(b) xx bar(c ) + bar( c) xx bar(a) + bar(a) xx bar(b)|`.

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The correct Answer is:
`(1)/(2) |bar(b) xx bar(c ) + bar(c ) xx bar(a) + bar(a) xx bar(b)|`
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