Prove that the sum of three vectors determined by the diagonals of the three adjacent faces of a cube passing through the same corner, the vectors being directed from the corner, is twice the vector determined by the diagonal of the cube passing through the same corner.

Amna Mughal

Prove that the sum of three vectors determined by the diagonals of the three adjacent faces of a cube passing through the same corner, the vectors being directed from the corner, is twice the vector determined by the diagonal of the cube passing through the same corner.

Prove that the sum of three vectors determined by the diagonals of the three adjacent faces of a cube passing through the same corner, th...

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Prove that four diagonals of a parallelepiped and the straight lines joining the midpoints of opposite edges are concurrent at the point of bisection

Amna Mughal

Prove that four diagonals of a parallelepiped and the straight lines joining the midpoints of opposite edges are concurrent at the point of bisection

Prove that four diagonals of a parallelepiped and the straight lines joining the midpoints of opposite edges are concurrent at the point ...

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Three edges of unit cube through origin O represent the vectors i, j, k respectively. Write down the expression for the vector represented by (i) The diagonal of cube through O. (ii) The diagonals of three faces passing through O.

Amna Mughal

Three edges of unit cube through origin O represent the vectors i, j, k respectively. Write down the expression for the vector represented by (i) The diagonal of cube through O. (ii) The diagonals of three faces passing through O.

Three edges of unit cube through origin O represent the vectors i, j, k respectively. Write down the expression for the vector represent...

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Prove that the diagonal of a parallelogram is trisected by the straight lines joining with the midpoints of the opposite sides.

Amna Mughal

Prove that the diagonal of a parallelogram is trisected by the straight lines joining with the midpoints of the opposite sides.

Prove that the diagonal of a parallelogram is trisected by the straight lines joining with the midpoints of the opposite sides.

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Prove a parallelogram. If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.

Amna Mughal

Prove a parallelogram. If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.

Prove a parallelogram. If a quadrilateral has diagonals which bisect each other, then it is a parallelogram. 

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