Chapter 10: Q 20. (page 812)
In Exercises 20-23, find the dot product of the given pairs of vectors and the angle between the two vectors.
Short Answer
The dot product is 13 and the angle is.
Chapter 10: Q 20. (page 812)
In Exercises 20-23, find the dot product of the given pairs of vectors and the angle between the two vectors.
The dot product is 13 and the angle 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.
(Hint: Think of the -plane as part of .)
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 and find the unit vector in the direction of .
What is Lagrange’s identity? How is it used to understand the geometry of the cross product?
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