If are distinct non-zero vectors represented by directed lines from the origin to the points A, B, C and D respectively and if , then prove that ABCD is a parallelogram.
Here are the position vectors of A, B, C, D respectively with reference to O as origin Now,
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35.Let O be the centre of regular hexagon ABCDEF. Find the sum. .
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36.Show that the diagonals a quadrilateral bisect each other if and only if it is a parallelogram.
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Long Answer Type
37.Show that the points are collinear, where are three non-coplanar vectors.
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Short Answer Type
38.Show that the points are collinear, where are three non-coplanar vectors.
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39.
If A and B are two points in space and if they become respectively A', B' on a translation, show that
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40.ABC is a triangle and P any point in BC. If is the sum of show that ABQC is a || gm and Q. therefore a fixed point.
Short Answer Type
Long Answer Type
is the sum of 
show that ABQC is a || gm and Q. therefore a fixed point.
are distinct non-zero 
, then prove that ABCD is a 
are the position vectors of A, B, C, D respectively with reference to O as origin
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.
are collinear, where 
are three non-coplanar vectors. 
are collinear, where 
are three non-coplanar vectors.
