00:05Question is, the diagonals of a parallelogram are 2i and 2j. What is the area of the parallelogram?
00:14a. 0.5 units, b. 1 unit, c. 2 units, d. 4 units.
00:24is area of parallelogram is calculated by the formula mod of a cross b is equal to what?
00:34So, first of all, we will find a cross b is equal to is the value of a is 2i
00:45cross the value of b is 2j.
00:51So, a cross b will be equal to 2 to the 4i cross j. As i cross j is equal
01:09to k. So, a cross b will be equal to 4k.
01:19Now, we will find the magnitude of cross product which is calculated by the formula under root x square plus
01:31y square plus z square.
01:35So, the magnitude of the area of parallelogram will be equal to k is used along z axis. So, the
01:49value of x and y is absent. So, the value of x is 0 and also the value of y
01:56is 0. But the value of z is 4. So, the square on 4.
02:04So, the magnitude of the cross product will be equal to 0 plus 0 plus 0 plus the square of
02:144 is 16. So, it will be under root 16. As the under root of 16 is 4.
02:26So, the area of the parallelogram is 4. So, the correct option will be d 4 units.
02:39Now it will be under root 16. As the damned control the value of the loung x square members.
02:42Now it will be under root 16. So, it will be under root 16. That would be above root 16.
02:42If you think it will be termed 16 сек now from a reading high school to font 9, now for
02:425.
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