5 Questions
What is the geometric interpretation of the cross product of two non-zero vectors a and b?
They form two adjacent sides of a parallelogram.
For two vectors a = and b = in V3, how is the cross product of a and b defined?
As a vector perpendicular to both a and b.
What is the determinant of a 2 × 2 matrix of real numbers?
The product of the diagonal elements minus the product of the off-diagonal elements.
What is the determinant of a 3 × 3 matrix of real numbers defined as?
The sum of three 2 × 2 determinants.
When are two non-zero vectors a and b in V3 parallel?
$a \times b = 0$
Test your understanding of the cross product and determinant definitions for 2x2 and 3x3 matrices, as well as the cross product of two vectors in V3. This quiz covers key concepts and examples related to the cross product in mathematics.
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