Chapter 10: Q 13 (page 848)
Fill in the blanks:
If u, v, and w are vectors in , then ______ is the volume of the parallelepiped determined by u, v, andw.
Short Answer
The required expression is
Chapter 10: Q 13 (page 848)
Fill in the blanks:
If u, v, and w are vectors in , then ______ is the volume of the parallelepiped determined by u, v, andw.
The required expression is
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Get started for freeIn 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.
(Hint: Think of the -plane as part of .)
If u and v are nonzero vectors in , what is the geometric relationship between and ?
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.
(Hint: Think of the -plane as part of .)
In Exercises 37–42, find and find the unit vector in the direction of v.
Find also sketch
role="math" localid="1649603943715"
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