Chapter 10: Q 40. (page 801)
In Exercises 37–42, find and find the unit vector in the direction of v.
Short Answer
and the unit vector in the direction of vis .
Chapter 10: Q 40. (page 801)
In Exercises 37–42, find and find the unit vector in the direction of v.
and the unit vector in the direction of vis .
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Determine whether each of the statements that follow is true or false. If a statement is true, explain why. If a statement is false, provide a counterexample.
(a) True or False: The sum formulas in Theorem 4.4 can be applied only to sums whose starting index value is .
(b) True or False: is equal to .
(c) True or False: is equal to .
(d) True or False: is equal to .
(e) True or False: is equal to.
(f) True or False: .
(g) True or False: .
(h) True or False: .
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 20-23, find the dot product of the given pairs of vectors and the angle between the two vectors.
Find a vector of length 3 that points in the direction opposite to.
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