The area of a parallelogram defined by two vectors can be found using the cross product of the vectors. The magnitude of the cross product of two vectors gives the area of the parallelogram that they span.

The vectors given are v = [2, 3] and w = [4, 1].

In two dimensions, the cross product of two vectors v = [v1, v2] and w = [w1, w2] is given by |v x w| = |v1*w2 - v2*w1|.

Substituting the given vectors into this formula gives:

|v x w| = |2*1 - 3*4| = |-10| = 10.

So, the area of the parallelogram is 10 square units.

Question

The area of a parallelogram defined by two vectors can be found using the cross product of the vectors. The magnitude of the cross product of two vectors gives the area of the parallelogram that they span.

The vectors given are v = [2, 3] and w = [4, 1].

In two dimensions, the cross product of two vectors v = [v1, v2] and w = [w1, w2] is given by |v x w| = |v1*w2 - v2*w1|.

Substituting the given vectors into this formula gives:

|v x w| = |2*1 - 3*4| = |-10| = 10.

So, the area of the parallelogram is 10 square units.

Knowee AI · Accepted Answer

The area of a parallelogram defined by two vectors can be found using the cross product of the vectors. The magnitude of the cross product of two vectors gives the area of the parallelogram that they span.

The vectors given are v = [2, 3] and w = [4, 1].

In two dimensions, the cross product of two vectors v = [v1, v2] and w = [w1, w2] is given by |v x w| = |v1*w2 - v2*w1|.

Substituting the given vectors into this formula gives:

|v x w| = |2*1 - 3*4| = |-10| = 10.

So, the area of the parallelogram is 10 square units.

Find the area of a parallelogram if it is defined by v = [2, 3] and w = [4, 1]. answer using grade 12 knowledge

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Find the area of a parallelogram if it is defined by

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