Is this statement true or false?

If vectors u and v are given by u =〈2, -3, 1〉and v =〈-1, 2, 4〉, the area of the parallelogram defined by these vectors is 19 sq. units.

If the vectors u =〈3, 1〉and v =〈-2, 5〉define the adjacent sides of a parallelogram, what is the area of the parallelogram?

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If the magnitude of the cross product of two vectors u and v is 8 and the angle between them is 45 degrees, the area of the parallelogram defined by these vectors is ________.

The vectors u =〈4, 2〉and v =〈1, 3〉define the adjacent sides of a parallelogram. What is the magnitude of their cross product?

Is this statement true or false?

If the vectors u =〈3, -1, 2〉and v =〈2, 4, -1〉define the adjacent sides of a parallelogram, the area of the parallelogram is 12 sq. units.

Is this statement true or false?

For two vectors u and v, if the area of the parallelogram defined by them is 0, then u and v are collinear.

If the area of a parallelogram defined by two vectors u and v is 24 square units and the magnitude of u is 4 units, what is the magnitude of v?

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For two non-collinear vectors u and v, the area of the parallelogram when the angle between them is ________.

If the vectors u and v are given by u =〈-2, 6〉and v =〈3, -1〉, what is the area of the parallelogram defined by these vectors?

Fill in the blank:

If vectors u and v are given as u =〈2, 3〉and v =〈-1, 4〉, the area of the parallelogram defined by these vectors is ________.