Question

Find the area of a parallelogram formed by the vectors PQ and PR , where P=(1, -5, 6) , Q=(-3, 6, 5) and R= (-4, -2, -5) .

Answer 1

To find the area of a parallelogram formed by two vectors, we need to find the cross product of the two vectors and calculate its magnitude.

Step-by-step explanation:

To find the area of a parallelogram formed by two vectors, we first need to find the cross product of the two vectors. The cross product of vectors PQ and PR is given by:

PQ x PR = (QxPy - PxQy)i + (RxPz - PxRz)j + (PyRz - RyPz)k

Plugging in the given values, we can calculate the cross product and find the magnitude of the resulting vector. The area of the parallelogram is equal to the magnitude of the cross product.