Chapter 10: Q 10 (page 848)
Describe the mathematical expression
It represents the dot product of two vectors.
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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.
A function f that satisfies the hypotheses of Rolle’s Theorem on [−2, 2] and for which there are exactly three values c ∈ (−2, 2) that satisfy the conclusion of the theorem .
Find the norm of the vector.
What is meant by the triangle determined by vectors u and v in ? How do you find the area of this triangle?
In Exercises 37–42, find and find the unit vector in the direction of v.
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