Chapter 10: Q. 4 (page 823)
How is the determinant of a 3 × 3 matrix used in the computation of the determinant of two vectors?
Short Answer
The determinant of a 3 × 3 matrix is .
Chapter 10: Q. 4 (page 823)
How is the determinant of a 3 × 3 matrix used in the computation of the determinant of two vectors?
The determinant of a 3 × 3 matrix is .
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In Exercises 36–41 use the given sets of points to find:
(a) A nonzero vector N perpendicular to the plane determined by the points.
(b) Two unit vectors perpendicular to the plane determined by the points.
(c) The area of the triangle determined by the points.
In Exercises 22–29 compute the indicated quantities when
Prove the first part of Theorem (a): If , then . (Hint: Given , choose . Then show that for it must follow that .)
If u, v and w are three vectors in , which of the following products make sense and which do not?
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