Prove by vector method, the parallelogram on the same base and in between the same parallel lines are equal in area.

The distance between two parallel lines is…..

Fill in the Blanks:The ratio of areas of a triangle and 9 par allelogram are on the base and between the same parallel lines is______

Triangle ABC and parallelogram ABEF are on the same base, AB as in between the same parallels AB and EF. Prove that ar (DeltaABC) = 1/2 ar(|| gm ABEF)

Triangle ABC and parallelogram ABEF ar on the same base, AB as in between the same parallels AB and EF. Prove that ar(DeltaABC)=1/2ar("||"gmABEF)

Which of the following figures lie on the same base and between the same parallels? In such a cases, write the common base and the two parallels.

Draw two triangles ABC and DBC on the same base and between the same parallels as shown in the figure with P as the point of intersection of AC and BD. Draw CE || BA and BF || CD such that E and F lie on line AD. Can you show ar(DeltaPAB) = ar(DeltaPDC) Hint : These triangles are not congruent but have equal areas.

ABCD is trapezium in which AB and CD are parallel. Prove by vector methods that the mind points of the sides AB, CD and the intersection of the diagonals are collinear.

In the two dimensional plane, prove by using vector methods, the equation of the line whose intercepts on the axes are a and b is x/a+y/b=1 .