In quadrilateral PQRS, P(1, 3), Q(2, 6), R(5, 5) and S(6, 2)
are the four vertices. Prove that PQRS is a l/gm by vector
method.
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Answer:
yfjh.........................m.dgiit
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PQRS. PQS 1/2[X1(Y2-Y3) +X2(Y3-Y1) +X3(Y1-Y2) ]
1/2[1(6-2) +2(2-3) +6(3-6) ]
1/2[4+2(-1) +6(-3) ]
1/2[4-2-18]
1/2[4-20]
1/2×(-16)
-16/2
-8
PRS 1/2[1(5-2) +5(2-3) +6(3-5) ]
1/2[3+5(-1) +6(-2) ]
: 1/2[3-5-12]
1/2[3-17]
1/2[-14]
-14/2
-7
NOW PQS+PRS
-8+(-7)
-8-7
-15
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