Question

Two vectors, Pand O as shown below, represent two adjacent sides of a parallelogram. You want to determine the area of the parallelogram formed by the two vectors and the dotted lines showm. To do this, you must calculate the vector (cross) product of the two given vectors, Pand O Both vectors are completely in the x-z plane. The vectors are as follows: 

What assumptions are explicitly and/or implicitly stated in the problem regarding the cross product of vectors Pand Q? 

• The vectors to be crossed, Pand Q, are two-dimensional. 

• It is unknown how many components or dimensions that the vector resulting from the cross product of vectors and Q will have. 

• The vector resulting from the cross product of vectors Pand Q will be a vector perpendicular to the two-dimensional plane containing vectors Pand Q. 

• The direction of the vector product of vectors Pand Qcan be found using the right-hand rule. 

• The direction of the vector product of vectors Pand Q can only be found by actually performing the calculations.

Answer 1

First We find cross product and find answer

[I marked correct or incorrect in the image]

please check

Answer 2