00:00Question is, the diagonals of a parallelogram are 2i and 2j. What is the area of the parallelogram?
00:15a. 0.5 units, b. 1 unit, c. 2 units, d. 4 units.
00:23This is, 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 cross the value of b is 2j.
00:52So, a cross b will be equal to 2 to the force i cross j. As i cross j is equal to 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 y 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 value of x and y is absent. So, the value of x is 0 and also the value of y is 0. But the value of z is 4. So, the square on 4.
02:03So, the magnitude of the cross product will be equal to 0 plus 0 plus 0 plus the square of 4 is 16. So, it will be under root 16. As the under root of 16 is 4.
02:23So, the area of the parallelogram is 4. The area of the parallelogram is 4. So, the correct option will be d 4 units.
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